Three workshop sessions on personal professional development were held during the Third lUPAP Wom... more Three workshop sessions on personal professional development were held during the Third lUPAP Women in Physics Conference. These were designed to teach participants about planning for career success, "survival skills," negotiation, and ways to transition into scientific leadership positions in their own countries.
We show that the electrical transport across a minimal model for a time-reversal symmetry(TRS) br... more We show that the electrical transport across a minimal model for a time-reversal symmetry(TRS) breaking Weyl semi-metal (WSM) involving two Weyl nodes can be interpreted as an interferometer in momentum space. The interference phase depends on the distance between the Weyl nodes (δk) and is anisotropic. It is further shown that a minimal inversion symmetry broken model for a WSM with four Weyl nodes effectively mimics a situation corresponding to having two copies of the interferometer due to the presence of an orbital pseudo-spin domain wall in momentum space. We point out that the value of the δk and consequently the interference phase can be tuned by driving the WSMs resulting in oscillations in the two terminal conductance measured in the direction of splitting of the Weyl nodes.
We study electron pumping through a system of barriers, whose heights are deformed adiabatically.... more We study electron pumping through a system of barriers, whose heights are deformed adiabatically. We derive a simple formula for the pumped charge Q in terms of the total reflection and transmission amplitudes and phases. The pumped charge increases with the number of barriers (n b) and shows an interesting step-like behaviour, with the steps appearing at integer values of Q. The pumped charge also tends towards quantisation with the increase of the amplitude of the time-varying potential. The value of the quantised pumped charge is shown to be correlated to the discontinuity of the reflection phase.
We study coherent charge tunneling through a one-dimensional interacting ring with a one-dimensio... more We study coherent charge tunneling through a one-dimensional interacting ring with a one-dimensional quantum dot embedded in one of its arms through bosonisation. The symmetries of the effective action explain many of the features such as phase change between resonances, in-phase successive resonances and phase-locking, which have been observed in experiments of coherent transport in mesoscopic rings, with a quantum dot. We also predict changes in the behaviour of the tunneling conductance in the presence of an Aharanov-Bohm flux through the ring. We argue that these results hold true in general for any dot.
PACS 73.23.-b-Electronic transport in mesoscopic systems PACS 74.45.+c-Proximity effects; Andreev... more PACS 73.23.-b-Electronic transport in mesoscopic systems PACS 74.45.+c-Proximity effects; Andreev effect; SN and SNS junctions PACS 72.25.Ba-Spin polarized transport in metals Abstract.-We study transport through a single channel T-stub geometry strongly coupled to a superconducting reservoir. In contrast to the standard stub geometry which has both transmission resonances and anti-resonances in the coherent limit, we find that due to the proximity effect, this geometry shows neither a T = 1 resonance (T is the transmission probability for electrons incident on the T-stub) nor a T = 0 anti-resonance as we vary the energy of the incident electron. Instead, we find that there is only one resonant value at T = 1/4, where charge transport vanishes while the spin transport is perfect.
The Heisenberg antiferromagnetic spin chain with both dimerization and frustration is studied. Th... more The Heisenberg antiferromagnetic spin chain with both dimerization and frustration is studied. The classical ground state has three phases (a Neel phase, a spiral phase and a colinear phase), around which a planar spin-wave analysis is performed. In each phase, we discuss a non-linear sigma model field theory describing the low energy excitations. A renormalization group analysis of the SO(3) matrix-valued field theory of the spiral phase leads to the conclusion that the theory becomes SO(3)×SO(3) and Lorentz invariant at long distances. This theory is analytically known to have a massive spin-1/2 excitation. We also show that Z 2 solitons in the field theory lead to a double degeneracy in the spectrum for half-integer spins.
In this set of lectures, we give a pedagogical introduction to the subject of anyons. We discuss ... more In this set of lectures, we give a pedagogical introduction to the subject of anyons. We discuss 1) basic concepts in anyon physics, 2) quantum mechanics of two anyon systems, 3) statistical mechanics of many anyon systems, 4) mean field approach to many anyon systems and anyon superconductivity , 5) anyons in field theory and 6) anyons in the Fractional Quantum Hall Effect (FQHE).
We develop a novel bosonic mean field theory to describe the spiral phases of a Heisenberg antife... more We develop a novel bosonic mean field theory to describe the spiral phases of a Heisenberg antiferromagnet on a one-dimensional chain, in terms of three bosons at each site. The ground state is disordered and for large values of the spin S, two different and exponentially small energy gaps are found. The spin-spin correlation function is computed and is shown to decay exponentially at large distances. Our mean field theory is also shown to be exact in a large-N generalization.
In this set of lectures, we will start with a brief pedagogical introduction to abelian anyons an... more In this set of lectures, we will start with a brief pedagogical introduction to abelian anyons and their properties. This will essentially cover the background material with an introduction to basic concepts in anyon physics, fractional statistics, braid groups and abelian anyons. The next topic that we will study is a specific exactly solvable model, called the toric code model, whose excitations have (mutual) anyon statistics. Then we will go on to discuss non-abelian anyons, where we will use the one dimensional Kitaev model as a prototypical example to produce Majorana modes at the edge. We will then explicitly derive the non-abelian unitary matrices under exchange of these Majorana modes.
We study transport in a class of exactly solvable models of interacting fermions in one dimension... more We study transport in a class of exactly solvable models of interacting fermions in one dimension. We contrast these models with models of non-interacting fermions in an Aharanov-Bohm ring to which they are superficially similar. We introduce magnetic and non-magnetic impurities at a site, through either a weak δ-function potential or through a weak link. Using a renormalisation group analysis, we show that the strength of the nonmagnetic impurity is not affected by the interaction, whereas the magnetic impurity cuts the wire at the impurity site.
We obtain the effective action of tunnel-coupled quantum dots, by modeling the system as a Luttin... more We obtain the effective action of tunnel-coupled quantum dots, by modeling the system as a Luttinger liquid with multiple barriers. For a double dot system, we find that the resonance conditions for perfect conductance form a hexagon in the plane of the two gate voltages controlling the density of electrons in each dot. We also explicitly obtain the functional dependence of the interaction energy and peak-splitting on the gate voltage controlling tunneling between the dots and their charging energies. Our results are in good agreement with recent experimental results, from which we obtain the Luttinger interaction parameter K = 0.74.
PACS 73.23.-b-Electronic transport in mesoscopic systems PACS 74.45.+c-Proximity effects; Andreev... more PACS 73.23.-b-Electronic transport in mesoscopic systems PACS 74.45.+c-Proximity effects; Andreev effect; SN and SNS junctions PACS 72.25.Ba-Spin polarized transport in metals Abstract.-We study resonant transport through a superconducting double barrier structure. At each barrier, due to the proximity effect, an incident electron can either reflect as an electron or a hole (Andreev reflection). Similarly, transport across the barrier can occur via direct tunneling as electrons as well as via the crossed Andreev channel, where a hole is transmitted. In the subgap regime, for a symmetric double barrier system (with low transparency for each barrier), we find a new T = 1/4 resonance (T is the transmission probability for electrons incident on the double barrier structure) due to interference between electron and hole wave-functions between the two barriers, in contrast to a normal double barrier system which has the standard transmission resonance at T = 1. We also point out as an application that the resonant value of T = 1/4 can produce pure spin current through the superconducting double barrier structure.
We study the effects of inter-electron interactions on the charge pumped through an adiabatic qua... more We study the effects of inter-electron interactions on the charge pumped through an adiabatic quantum electron pump. The pumping is through a system of barriers, whose heights are deformed adiabatically. (Weak) interaction effects are introduced through a renormalisation group flow of the scattering matrices and the pumped charge is shown to always approach a quantised value at low temperatures or long length scales. The maximum value of the pumped charge is set by the number of barriers and is given by Qmax = n b − 1. The correlation between the transmission and the charge pumped is studied by seeing how much of the transmission is enclosed by the pumping contour. The (integer) value of the pumped charge at low temperatures is determined by the number of transmission maxima enclosed by the pumping contour. The dissipation at finite temperatures leading to the non-quantised values of the pumped charge scales as a power law with the temperature (Q−Qint ∝ T 2α), or with the system size (Q−Qint ∝ L −2α s), where α is a measure of the interactions and vanishes at T = 0 (Ls = ∞). For a double barrier system, our result agrees with the quantisation of pumped charge seen in Luttinger liquids.
We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge mode... more We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge modes of two quantum Hall (QH) systems, proximitized by an s-wave superconductor. We show that the difference between the lengths (which can be controlled by external gates) of the two counter propagating chiral edges at the Josephson junction, can act as a source of spontaneous phase bias. For the Laughlin filling fractions, ν = 1/m, m ∈ 2Z + 1, this leads to an electrical control of either Majorana (m = 1) or parafermion (m = 1) zero modes.
We develop a density functional treatment of non-interacting abelian anyons, which is capable, in... more We develop a density functional treatment of non-interacting abelian anyons, which is capable, in principle, of dealing with a system of a large number of anyons in an external potential. Comparison with exact results for few particles shows that the model captures the behavior qualitatively and semi-quantitatively, especially in the vicinity of the fermionic statistics. We then study anyons with statistics parameter 1 + 1/n, which are thought to condense into a superconducting state. An indication of the superconducting behavior is the mean-field result that, for uniform density systems, the ground state energy increases under the application of an external magnetic field independent of its direction. Our density-functional-theory based analysis does not find that to be the case for finite systems of anyons, which can accommodate a weak external magnetic field through density transfer between the bulk and the boundary rather than through transitions across effective Landau levels, but the "Meissner repulsion" of the external magnetic field is recovered in the thermodynamic limit as the effect of the boundary becomes negligible. We also consider the quantum Hall effect of anyons, and show that its topological properties, such as the charge and statistics of the excitations and the quantized Hall conductance, arise in a self-consistent fashion.
We begin this review with an introduction and a discussion of Weyl fermions as emergent particles... more We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then explain the current interest in the field due to the recent discovery of real materials which behave like Weyl semi-metals. We then describe a simple lattice model of a topological insulator, which can be turned into a Weyl semi-metal on breaking either time-reversal or inversion symmetry, and show how flat bands or Fermi arcs develop. Finally, we describe some new phenomena which occur due to the chiral nature of the Weyl nodes and end with possible future prospects in the field, both in theory and experiment.
We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge mode... more We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge modes of two quantum Hall (QH) systems, proximitized by an s-wave superconductor. We show that the difference between the lengths (which can be controlled by external gates) of the two counter propagating chiral edges at the Josephson junction, can act as a source of spontaneous phase bias. For the Laughlin filling fractions, ν = 1/m, m ∈ 2Z + 1, this leads to an electrical control of either Majorana (m = 1) or parafermion (m = 1) zero modes.
A hybrid setup consisting of a superconductivity-proximitized quantum spin Hall (QSH) insulator a... more A hybrid setup consisting of a superconductivity-proximitized quantum spin Hall (QSH) insulator and a quantum anomalous Hall (QAH) insulator is proposed for chiral injection of electrons into the Majorana bound state (MBS). An unexplored region of the phase space involving the exchange field induced boost of the helical edge state is then proposed for the detection of the MBS. 2-D transport simulations of our proposed setup is compared with the corresponding setup in the absence of the QAH region, when moderate disorder and a small but finite bulk out-of-plane magnetic field and a Rashba field are included. The remarkable contrast between the two results demonstrates the possibility for an unprecedented immunity from disorder-induced masking of the MBS detection in our proposed setup. scattering due to electron-electron interactions, scattering induced by the coupling to nuclear spins, etc [9, 32-49]. Such concerns led to theoretical studies which attempted to spatially separate the left and right movers
We show that the electrical transport across a minimal model for a time-reversal symmetry(TRS) br... more We show that the electrical transport across a minimal model for a time-reversal symmetry(TRS) breaking Weyl semi-metal (WSM) involving two Weyl nodes can be interpreted as an interferometer in momentum space. The interference phase depends on the distance between the Weyl nodes (δk) and is anisotropic. It is further shown that a minimal inversion symmetry broken model for a WSM with four Weyl nodes effectively mimics a situation corresponding to having two copies of the interferometer due to the presence of an orbital pseudo-spin domain wall in momentum space. We point out that the value of the δk and consequently the interference phase can be tuned by driving the WSMs resulting in oscillations in the two terminal conductance measured in the direction of splitting of the Weyl nodes.
Three workshop sessions on personal professional development were held during the Third lUPAP Wom... more Three workshop sessions on personal professional development were held during the Third lUPAP Women in Physics Conference. These were designed to teach participants about planning for career success, "survival skills," negotiation, and ways to transition into scientific leadership positions in their own countries.
We show that the electrical transport across a minimal model for a time-reversal symmetry(TRS) br... more We show that the electrical transport across a minimal model for a time-reversal symmetry(TRS) breaking Weyl semi-metal (WSM) involving two Weyl nodes can be interpreted as an interferometer in momentum space. The interference phase depends on the distance between the Weyl nodes (δk) and is anisotropic. It is further shown that a minimal inversion symmetry broken model for a WSM with four Weyl nodes effectively mimics a situation corresponding to having two copies of the interferometer due to the presence of an orbital pseudo-spin domain wall in momentum space. We point out that the value of the δk and consequently the interference phase can be tuned by driving the WSMs resulting in oscillations in the two terminal conductance measured in the direction of splitting of the Weyl nodes.
We study electron pumping through a system of barriers, whose heights are deformed adiabatically.... more We study electron pumping through a system of barriers, whose heights are deformed adiabatically. We derive a simple formula for the pumped charge Q in terms of the total reflection and transmission amplitudes and phases. The pumped charge increases with the number of barriers (n b) and shows an interesting step-like behaviour, with the steps appearing at integer values of Q. The pumped charge also tends towards quantisation with the increase of the amplitude of the time-varying potential. The value of the quantised pumped charge is shown to be correlated to the discontinuity of the reflection phase.
We study coherent charge tunneling through a one-dimensional interacting ring with a one-dimensio... more We study coherent charge tunneling through a one-dimensional interacting ring with a one-dimensional quantum dot embedded in one of its arms through bosonisation. The symmetries of the effective action explain many of the features such as phase change between resonances, in-phase successive resonances and phase-locking, which have been observed in experiments of coherent transport in mesoscopic rings, with a quantum dot. We also predict changes in the behaviour of the tunneling conductance in the presence of an Aharanov-Bohm flux through the ring. We argue that these results hold true in general for any dot.
PACS 73.23.-b-Electronic transport in mesoscopic systems PACS 74.45.+c-Proximity effects; Andreev... more PACS 73.23.-b-Electronic transport in mesoscopic systems PACS 74.45.+c-Proximity effects; Andreev effect; SN and SNS junctions PACS 72.25.Ba-Spin polarized transport in metals Abstract.-We study transport through a single channel T-stub geometry strongly coupled to a superconducting reservoir. In contrast to the standard stub geometry which has both transmission resonances and anti-resonances in the coherent limit, we find that due to the proximity effect, this geometry shows neither a T = 1 resonance (T is the transmission probability for electrons incident on the T-stub) nor a T = 0 anti-resonance as we vary the energy of the incident electron. Instead, we find that there is only one resonant value at T = 1/4, where charge transport vanishes while the spin transport is perfect.
The Heisenberg antiferromagnetic spin chain with both dimerization and frustration is studied. Th... more The Heisenberg antiferromagnetic spin chain with both dimerization and frustration is studied. The classical ground state has three phases (a Neel phase, a spiral phase and a colinear phase), around which a planar spin-wave analysis is performed. In each phase, we discuss a non-linear sigma model field theory describing the low energy excitations. A renormalization group analysis of the SO(3) matrix-valued field theory of the spiral phase leads to the conclusion that the theory becomes SO(3)×SO(3) and Lorentz invariant at long distances. This theory is analytically known to have a massive spin-1/2 excitation. We also show that Z 2 solitons in the field theory lead to a double degeneracy in the spectrum for half-integer spins.
In this set of lectures, we give a pedagogical introduction to the subject of anyons. We discuss ... more In this set of lectures, we give a pedagogical introduction to the subject of anyons. We discuss 1) basic concepts in anyon physics, 2) quantum mechanics of two anyon systems, 3) statistical mechanics of many anyon systems, 4) mean field approach to many anyon systems and anyon superconductivity , 5) anyons in field theory and 6) anyons in the Fractional Quantum Hall Effect (FQHE).
We develop a novel bosonic mean field theory to describe the spiral phases of a Heisenberg antife... more We develop a novel bosonic mean field theory to describe the spiral phases of a Heisenberg antiferromagnet on a one-dimensional chain, in terms of three bosons at each site. The ground state is disordered and for large values of the spin S, two different and exponentially small energy gaps are found. The spin-spin correlation function is computed and is shown to decay exponentially at large distances. Our mean field theory is also shown to be exact in a large-N generalization.
In this set of lectures, we will start with a brief pedagogical introduction to abelian anyons an... more In this set of lectures, we will start with a brief pedagogical introduction to abelian anyons and their properties. This will essentially cover the background material with an introduction to basic concepts in anyon physics, fractional statistics, braid groups and abelian anyons. The next topic that we will study is a specific exactly solvable model, called the toric code model, whose excitations have (mutual) anyon statistics. Then we will go on to discuss non-abelian anyons, where we will use the one dimensional Kitaev model as a prototypical example to produce Majorana modes at the edge. We will then explicitly derive the non-abelian unitary matrices under exchange of these Majorana modes.
We study transport in a class of exactly solvable models of interacting fermions in one dimension... more We study transport in a class of exactly solvable models of interacting fermions in one dimension. We contrast these models with models of non-interacting fermions in an Aharanov-Bohm ring to which they are superficially similar. We introduce magnetic and non-magnetic impurities at a site, through either a weak δ-function potential or through a weak link. Using a renormalisation group analysis, we show that the strength of the nonmagnetic impurity is not affected by the interaction, whereas the magnetic impurity cuts the wire at the impurity site.
We obtain the effective action of tunnel-coupled quantum dots, by modeling the system as a Luttin... more We obtain the effective action of tunnel-coupled quantum dots, by modeling the system as a Luttinger liquid with multiple barriers. For a double dot system, we find that the resonance conditions for perfect conductance form a hexagon in the plane of the two gate voltages controlling the density of electrons in each dot. We also explicitly obtain the functional dependence of the interaction energy and peak-splitting on the gate voltage controlling tunneling between the dots and their charging energies. Our results are in good agreement with recent experimental results, from which we obtain the Luttinger interaction parameter K = 0.74.
PACS 73.23.-b-Electronic transport in mesoscopic systems PACS 74.45.+c-Proximity effects; Andreev... more PACS 73.23.-b-Electronic transport in mesoscopic systems PACS 74.45.+c-Proximity effects; Andreev effect; SN and SNS junctions PACS 72.25.Ba-Spin polarized transport in metals Abstract.-We study resonant transport through a superconducting double barrier structure. At each barrier, due to the proximity effect, an incident electron can either reflect as an electron or a hole (Andreev reflection). Similarly, transport across the barrier can occur via direct tunneling as electrons as well as via the crossed Andreev channel, where a hole is transmitted. In the subgap regime, for a symmetric double barrier system (with low transparency for each barrier), we find a new T = 1/4 resonance (T is the transmission probability for electrons incident on the double barrier structure) due to interference between electron and hole wave-functions between the two barriers, in contrast to a normal double barrier system which has the standard transmission resonance at T = 1. We also point out as an application that the resonant value of T = 1/4 can produce pure spin current through the superconducting double barrier structure.
We study the effects of inter-electron interactions on the charge pumped through an adiabatic qua... more We study the effects of inter-electron interactions on the charge pumped through an adiabatic quantum electron pump. The pumping is through a system of barriers, whose heights are deformed adiabatically. (Weak) interaction effects are introduced through a renormalisation group flow of the scattering matrices and the pumped charge is shown to always approach a quantised value at low temperatures or long length scales. The maximum value of the pumped charge is set by the number of barriers and is given by Qmax = n b − 1. The correlation between the transmission and the charge pumped is studied by seeing how much of the transmission is enclosed by the pumping contour. The (integer) value of the pumped charge at low temperatures is determined by the number of transmission maxima enclosed by the pumping contour. The dissipation at finite temperatures leading to the non-quantised values of the pumped charge scales as a power law with the temperature (Q−Qint ∝ T 2α), or with the system size (Q−Qint ∝ L −2α s), where α is a measure of the interactions and vanishes at T = 0 (Ls = ∞). For a double barrier system, our result agrees with the quantisation of pumped charge seen in Luttinger liquids.
We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge mode... more We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge modes of two quantum Hall (QH) systems, proximitized by an s-wave superconductor. We show that the difference between the lengths (which can be controlled by external gates) of the two counter propagating chiral edges at the Josephson junction, can act as a source of spontaneous phase bias. For the Laughlin filling fractions, ν = 1/m, m ∈ 2Z + 1, this leads to an electrical control of either Majorana (m = 1) or parafermion (m = 1) zero modes.
We develop a density functional treatment of non-interacting abelian anyons, which is capable, in... more We develop a density functional treatment of non-interacting abelian anyons, which is capable, in principle, of dealing with a system of a large number of anyons in an external potential. Comparison with exact results for few particles shows that the model captures the behavior qualitatively and semi-quantitatively, especially in the vicinity of the fermionic statistics. We then study anyons with statistics parameter 1 + 1/n, which are thought to condense into a superconducting state. An indication of the superconducting behavior is the mean-field result that, for uniform density systems, the ground state energy increases under the application of an external magnetic field independent of its direction. Our density-functional-theory based analysis does not find that to be the case for finite systems of anyons, which can accommodate a weak external magnetic field through density transfer between the bulk and the boundary rather than through transitions across effective Landau levels, but the "Meissner repulsion" of the external magnetic field is recovered in the thermodynamic limit as the effect of the boundary becomes negligible. We also consider the quantum Hall effect of anyons, and show that its topological properties, such as the charge and statistics of the excitations and the quantized Hall conductance, arise in a self-consistent fashion.
We begin this review with an introduction and a discussion of Weyl fermions as emergent particles... more We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then explain the current interest in the field due to the recent discovery of real materials which behave like Weyl semi-metals. We then describe a simple lattice model of a topological insulator, which can be turned into a Weyl semi-metal on breaking either time-reversal or inversion symmetry, and show how flat bands or Fermi arcs develop. Finally, we describe some new phenomena which occur due to the chiral nature of the Weyl nodes and end with possible future prospects in the field, both in theory and experiment.
We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge mode... more We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge modes of two quantum Hall (QH) systems, proximitized by an s-wave superconductor. We show that the difference between the lengths (which can be controlled by external gates) of the two counter propagating chiral edges at the Josephson junction, can act as a source of spontaneous phase bias. For the Laughlin filling fractions, ν = 1/m, m ∈ 2Z + 1, this leads to an electrical control of either Majorana (m = 1) or parafermion (m = 1) zero modes.
A hybrid setup consisting of a superconductivity-proximitized quantum spin Hall (QSH) insulator a... more A hybrid setup consisting of a superconductivity-proximitized quantum spin Hall (QSH) insulator and a quantum anomalous Hall (QAH) insulator is proposed for chiral injection of electrons into the Majorana bound state (MBS). An unexplored region of the phase space involving the exchange field induced boost of the helical edge state is then proposed for the detection of the MBS. 2-D transport simulations of our proposed setup is compared with the corresponding setup in the absence of the QAH region, when moderate disorder and a small but finite bulk out-of-plane magnetic field and a Rashba field are included. The remarkable contrast between the two results demonstrates the possibility for an unprecedented immunity from disorder-induced masking of the MBS detection in our proposed setup. scattering due to electron-electron interactions, scattering induced by the coupling to nuclear spins, etc [9, 32-49]. Such concerns led to theoretical studies which attempted to spatially separate the left and right movers
We show that the electrical transport across a minimal model for a time-reversal symmetry(TRS) br... more We show that the electrical transport across a minimal model for a time-reversal symmetry(TRS) breaking Weyl semi-metal (WSM) involving two Weyl nodes can be interpreted as an interferometer in momentum space. The interference phase depends on the distance between the Weyl nodes (δk) and is anisotropic. It is further shown that a minimal inversion symmetry broken model for a WSM with four Weyl nodes effectively mimics a situation corresponding to having two copies of the interferometer due to the presence of an orbital pseudo-spin domain wall in momentum space. We point out that the value of the δk and consequently the interference phase can be tuned by driving the WSMs resulting in oscillations in the two terminal conductance measured in the direction of splitting of the Weyl nodes.
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Papers by Sumathi Rao