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In this chapter we review our work on the theory of quantum transport in topological insulator nanowires. We discuss both normal state properties and superconducting proximity effects, including the effects of magnetic fields and disorder.…

Mesoscale and Nanoscale Physics · Physics 2019-06-13 Jens H. Bardarson , Roni Ilan

The multichannel Kondo model with SU(N) spin symmetry and SU(K) channel symmetry is considered. The impurity spin is chosen to transform as an antisymmetric representation of SU(N), corresponding to a fixed number of Abrikosov fermions…

Strongly Correlated Electrons · Physics 2009-10-30 Olivier Parcollet , Antoine Georges , Gabriel Kotliar , Anirvan Sengupta

Gray tin, also known as $\alpha$-Sn, can be turned into a three-dimensional topological insulator (3D-TI) by strain and finite size effects. Such room temperature 3D-TI is peculiarly interesting for spintronics due to the spin-momentum…

Motivated by the transmission of topological surface states through atomic scale steps, we study the transport of gapless Dirac fermions on hyperbolic surfaces. We confirm that, independent of the curvature of the hyperbolae and the…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Udit Khanna , Saurabh Pradhan , Sumathi Rao

We study the electronic transport of heterojunctions made of chiral topological superconductors (TSCs) with $N$ chiral Majorana fermion modes and quantum Hall insulators (QHIs) with integer Chern number $C$. In the weak disorder regime, we…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Biao Lian , Jing Wang

Three dimensional topological superconductors (TScs) protected by time reversal (T) symmetry are characterized by gapless Majorana cones on their surface. Free fermion phases with this symmetry (class DIII) are indexed by an integer n, of…

Strongly Correlated Electrons · Physics 2013-12-03 Lukasz Fidkowski , Xie Chen , Ashvin Vishwanath

The spin-momentum locked nature of the robust surface states of three dimensional topological insulators (3D TI) make them promising candidates for spintronics applications. Surface potentials which respect time reversal symmetry can exist…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Sthitadhi Roy , Sourin Das

In the presence of an applied magnetic field introducing Zeeman spin splitting, a superconducting (SC) proximitized one-dimensional (1D) nanowire with spin-orbit coupling can pass through a topological quantum phase transition developing…

Mesoscale and Nanoscale Physics · Physics 2017-08-07 Ching-Kai Chiu , Jay D. Sau , S. Das Sarma

We investigate two transport coefficients, shear viscosity and conductivity, in a non-relativistic boundary filed theory without hyperscaling symmetry, which is dual to a bulk charged hyperscaling violating black brane. Employing matching…

High Energy Physics - Theory · Physics 2017-09-13 Xiao-Mei Kuang , Jian-Pin Wu

With the organic compound $\kappa$-(BEDT-TTF)$_2$-Cu$_2$(CN)$_3$ in mind, we consider a spin liquid system where a spinon Fermi surface is coupled to a U(1) gauge field. Using the non-equilibrium Green's function formalism, we derive the…

Strongly Correlated Electrons · Physics 2009-11-13 Cody P. Nave , Patrick A. Lee

A coexistent phase of spin polarization and color superconductivity in high-density QCD is investigated using a self-consistent mean-field method at zero temperature. The axial-vector current stemming from the Fock exchange term of the…

High Energy Physics - Phenomenology · Physics 2010-11-19 E. Nakano , T. Maruyama , T. Tatsumi

We investigate transport properties of different realizations of one-dimensional quantum wires coupled to a number of external electrodes in terms of the full counting statistics. Focusing on the set-ups in which edge states of Majorana…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 A. Komnik

We theoretically study transport properties of voltage-biased one-dimensional superconductor--normal metal--superconductor tunnel junctions with arbitrary junction transparency where the superconductors can have trivial or nontrivial…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 F. Setiawan , William S. Cole , Jay D. Sau , S. Das Sarma

We study the topology and symmetry of surface Majorana arcs in superconductors with nonunitary "cyclic" pairing. Cyclic $p$-wave pairing may be realized in a cubic or tetrahedral crystal, while it is a candidate for the interior $^3P_2$…

Superconductivity · Physics 2018-01-12 Takeshi Mizushima , Muneto Nitta

As one of the simplest systems for realizing Majorana fermions, topological superconductor plays an important role in both condensed matter physics and quantum computations. Based on \emph{ab~initio} calculations and the analysis of an…

Superconductivity · Physics 2016-09-06 Gang Xu , Biao Lian , Peizhe Tang , Xiao-Liang Qi , Shou-Cheng Zhang

We investigate the thermoelectric current and heat conductance in a chiral Josephson contact on a surface of a 3D topological insulator, covered with superconducting and magnetic insulator films. The contact consists of two junctions of…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Dmitriy S. Shapiro , D. E. Feldman , Alexander D. Mirlin , Alexander Shnirman

We study the dynamical thermal conductivity of the Kitaev spin model on a two-leg ladder. In contrast to conventional integrable one-dimensional spin systems, we show that heat transport is completely dissipative. This is a direct…

Strongly Correlated Electrons · Physics 2017-07-19 Alexandros Metavitsiadis , Wolfram Brenig

We show that some of the low temperature transport coefficients (e.g., electrical and thermal conductivities, viscosity and sound attenuation) are {\it universal}, i.e., independent of the impurity concentration and phase shift for specific…

Condensed Matter · Physics 2009-10-28 M. J. Graf , S. -K. Yip , J. A. Sauls

We demonstrate that antiferromagnet-superconductor (AF-S) junctions show qualitatively different transport properties than normal metal-superconductor (N--S) and ferromagnet-superconductor (F-S) junctions. We attribute these transport…

Superconductivity · Physics 2020-11-30 Martin F. Jakobsen , Kristian B. Naess , Paramita Dutta , Arne Brataas , Alireza Qaiumzadeh

In two-dimensional topological nodal superconductors, Majorana edge states have been conventionally believed to exhibit only spin-triplet pairing correlations. However, we reveal a substantial spin-singlet pairing component in Majorana edge…

Superconductivity · Physics 2025-06-10 Junjie Zeng , James Jun He , Zhen Ning , Dong-Hui Xu , Rui Wang
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