Thermal metal-insulator transition in a helical topological superconductor

Fulga, Ion Cosma; Akhmerov, A. R.; Tworzydło, J.; Béri, Benjámin; Beenakker, C. W. J.

doi:10.1103/physrevb.86.054505

Cited by 29 publications

(33 citation statements)

References 47 publications

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“…While in class D the gap closes along a line in the phase diagram, in class DIII there are extended gapless regions of a metallic phase separating the insulating phases. (This is a generic feature of helical p-wave superconductors [27]. )…”

Section: Disorder Effectsmentioning

confidence: 88%

Bimodal conductance distribution of Kitaev edge modes in topological superconductors

et al. 2014

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A two-dimensional superconductor with spin-triplet p-wave pairing supports chiral or helical Majorana edge modes with a quantized (length L-independent) thermal conductance. Sufficiently strong anisotropy removes both chirality and helicity, doubling the conductance in the clean system and imposing a super-Ohmic L 1/ decay in the presence of disorder. We explain the absence of localization in the framework of the Kitaev Hamiltonian, contrasting the edge modes of the two-dimensional system with the one-dimensional Kitaev chain. While the disordered Kitaev chain has a log-normal conductance distribution peaked at an exponentially small value, the Kitaev edge has a bimodal distribution with a second peak near the conductance quantum. Shot noise provides an alternative, purely electrical method of detection of these charge-neutral edge modes.

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Section: Disorder Effectsmentioning

confidence: 88%

Bimodal conductance distribution of Kitaev edge modes in topological superconductors

et al. 2014

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“…In this 2D limit a canonical time-reversal symmetry is defined as T = τ x σ y K. The system is then in the topologically non-trivial symmetry class DIII [1,4,5,70] but it is a gapless system, corresponding to a thermal metal [71] or semimetal phase.…”

Section: The Anisotropic Su (2) Modelmentioning

confidence: 99%

Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials

et al. 2016

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We study the effect of a non-Abelian SU (2) gauge potential mimicking spin-orbit coupling on the topological semimetal induced by a magnetic field having π-flux per plaquette and acting on fermions in a 3D cubic lattice. The Abelian π-flux term gives rise to a spectrum characterized by Weyl points. The non-Abelian term is chosen to be gauge equivalent to both a 2D Rashba and a Dresselhaus spin-orbit coupling. As a result of the anisotropic nature of the coupling between spin and momentum and of the presence of a C4 rotation symmetry, when the non-Abelian part is turned on, the Weyl points assume a quadratic dispersion along two directions and constitute double monopoles for the Berry curvature. We examine the main features of this system both analytically and numerically, focusing on its gapless surface modes, the so-called Fermi arcs. We discuss the stability of the system under confining hard-wall and harmonic potentials, relevant for the implementation in ultracold atom settings, and the effect of rotation symmetry breaking.

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“…The computer simulations have already began this process (note that these are all zero-temperature finitesize scaling simulations). [49][50][51][52][53][54][55][56][57][58][59][60] One question that received great attention from these works is if the scaling exponents of the symplectic models at the metal-to-normal insulator and at the metal-to-topological insulator are the same. So far, the answer seems to be affirmative.…”

Section: Introductionmentioning

confidence: 99%

Quantum criticality at the Chern-to-normal insulator transition

Xue

Prodan

2013

Phys. Rev. B

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Using the non-commutative Kubo formula for aperiodic solids and a recently developed numerical implementation, we study the conductivity σ and resistivity ρ tensors as functions of Fermi level E F and temperature T, for models of strongly disordered Chern insulators. The formalism enabled us to converge the transport coefficients at temperatures low enough to enter the quantum critical regime at the Chern-to-trivial insulator transition. We find that the ρ xx -curves at different temperatures intersect each other at one single critical point, and that they obey a single-parameter scaling law with an exponent close to the universally accepted value for the unitary symmetry class. However, when compared with the established experimental facts on the plateau-insulator transition in the Integer Quantum Hall Effect, we find a universal critical conductance σ c xx twice as large, an ellipse rather than a semi-circle law, and absence of the Quantized Hall Insulator phase.

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Thermal metal-insulator transition in a helical topological superconductor

Cited by 29 publications

References 47 publications

Bimodal conductance distribution of Kitaev edge modes in topological superconductors

Bimodal conductance distribution of Kitaev edge modes in topological superconductors

Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials

Quantum criticality at the Chern-to-normal insulator transition

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