Thermal metal-insulator transition in a helical topological superconductor
arXiv:1205.1441 · doi:10.1103/PhysRevB.86.054505
Abstract
Two-dimensional superconductors with time-reversal symmetry have a Z_2 topological invariant, that distinguishes phases with and without helical Majorana edge states. We study the topological phase transition in a class-DIII network model, and show that it is associated with a metal-insulator transition for the thermal conductance of the helical superconductor. The localization length diverges at the transition with critical exponent nu approx 2.0, about twice the known value in a chiral superconductor.
arXiv comment9 pages, 8 figures, 3 tables
References in corpus (40)
- Topological Insulators
- Topological insulators and superconductors
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Anderson Transitions
- Topological Superconductivity and Superfluidity
- Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
- Corrections to scaling at the Anderson transition
- Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
- Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
- Topological spin-current in non-centrosymmetric superconductors
- Topological superconductivity in bilayer Rashba system
- Exact exponents for the spin quantum Hall transition
- Scattering formula for the topological quantum number of a disordered multi-mode wire
- Quasiparticle localization in superconductors with spin-orbit scattering
- Scattering theory of topological insulators and superconductors
- Random Network Models and Quantum Phase Transitions in Two Dimensions
- Majorana bound states without vortices in topological superconductors with electrostatic defects
- Critical exponent for the quantum Hall transition
- Topological field theory and thermal responses of interacting topological superconductors
- Quantum Hall plateau transitions in disordered superconductors
- Cross-Correlated Responses of Topological Superconductors and Superfluids
- Thermal metal in network models of a disordered two-dimensional superconductor
- Topologically stable gapless phases of time-reversal invariant superconductors
- Criticality in the two-dimensional random-bond Ising model
- Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
- Quantum and classical localisation, the spin quantum Hall effect and generalisations
- Numerical estimation of the -function in 2D systems with spin-orbit coupling
- Helical Dirac-Majorana interferometer in a superconductor-topological insulator sandwich structure
- Disorder-induced Majorana metal in interacting non-Abelian anyon systems
- Effective mass and tricritical point for lattice fermions localized by a random mass
- Absence of a metallic phase in charge-neutral graphene with a random gap
- Critical regime of two dimensional Ando model: relation between critical conductance and fractal dimension of electronic eigenstates
- Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect
- Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions
- Majorana fermions on a disordered triangular lattice
- The Z_2 network model for the quantum spin Hall effect: two-dimensional Dirac fermions, topological quantum numbers, and corner multifractality
- Metal--topological-insulator transition in the quantum kicked rotator with Z2 symmetry
- Universal critical exponent in class D superconductors
Cited by in corpus (22)
- Chiral anomaly and transport in Weyl metals
- Phase tunable second-order topological superconductor
- Learning Disordered Topological Phases by Statistical Recovery of Symmetry
- Theory of Disordered Quantum Thermal Hall State: Emergent Symmetry and Phase Diagram
- Unifying the Anderson Transitions in Hermitian and Non-Hermitian Systems
- Anderson localization and the topology of classifying spaces
- Quantum phase transition of chiral Majorana fermion in the presence of disorder
- Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
- Coherent error threshold for surface codes from Majorana delocalization
- Bimodal conductance distribution of Kitaev edge modes in topological superconductors
- Extended topological group structure due to average reflection symmetry
- Topology and localization of a periodically driven Kitaev model
- Quantum criticality at the Chern-to-normal insulator transition
- Surface codes, quantum circuits, and entanglement phases
- Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes
- Density of states at disorder-induced phase transitions in a multichannel Majorana wire
- Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
- Network model for higher-order topological phases
- Detrimental effects of disorder in two-dimensional time-reversal invariant topological superconductors
- 3D Network Model for Strong Topological Insulator Transitions
- Network model for magnetic higher-order topological phases
- Generalized multifractality at the spin quantum Hall transition: Percolation mapping and pure-scaling observables