Quasiparticle localization in superconductors with spin-orbit scattering

We develop a theory of quasiparticle localization in superconductors in situations without spin rotation invariance. We discuss the existence and properties of superconducting phases with localized/delocalized quasiparticle excitations in such systems in various dimensionalities. Implications for a variety of experimental systems, and to the properties of random Ising models in two dimensions, are briefly discussed.

• Publication year

  1999

• Venue

  Physical Review B

• Publication date

  1999-06-17

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevB.61.9690arXiv cond-mat/9906290
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Quasiparticle density of states in dirty high-Tc superconductors

  1998cited by this paper

• Spin quantum Hall transition on random networks: exact critical exponents via quantum gravity

  2026cites this paper
• Bulk-edge correspondence at the spin-to-integer quantum Hall effect crossover in topological superconductors

  2025cites this paper
• Transient localization from fractionalization: vanishingly small heat conductivity in gapless quantum magnets

  2025cites this paper
• Diffusive metal in a percolating Chern insulator

  2025cites this paper
• Doping lattice non-Abelian quantum Hall states

  2025cites this paper
• Emergent quantum Majorana metal from a chiral spin liquid

  2024influential citation
• Fractionalization signatures in the dynamics of quantum spin liquids

  2024cites this paper
• Superconducting tunnel junctions with layered superconductors

  2024cites this paper
• Majorana-metal transition in a disordered superconductor: percolation in a landscape of topological domain walls

  2024cites this paper
• Instanton analysis for the spin quantum Hall symmetry class: Nonperturbative corrections to physical observables and generalized multifractal spectrum

  2024cites this paper
• Genuine Topological Anderson Insulator from Impurity Induced Chirality Reversal.

  2024cites this paper
• A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system

  2024cites this paper
• Tangent Fermions: Dirac or Majorana Fermions on a Lattice Without Fermion Doubling

  2023cites this paper
• Quantized thermal and spin transports of dirty planar topological superconductors

  2023cites this paper
• Topological band inversion and chiral Majorana mode in hcp thallium

  2023cites this paper
• Nonlinear Sigma Models for Monitored Dynamics of Free Fermions

  2023influential citation
• Generalized multifractality at metal-insulator transitions and in metallic phases of two-dimensional disordered systems

  2022cites this paper
• Anderson transition of in-gap quasiparticles in a quasi-two-dimensional disordered superconductor

  2022cites this paper
• Direct determination of the topological thermal conductance via local power measurement

  2022cites this paper
• Effects of electron-electron interactions in the Yu-Shiba-Rusinov lattice model

  2022cites this paper
• Multicriticality of two-dimensional class-D disordered topological superconductors

  2021influential citation
• Identifying Chern numbers of superconductors from local measurements

  2021cites this paper
• Renormalization group analysis of Dirac fermions with a random mass

  2021cites this paper
• How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all the way down

  2021cites this paper
• Majorana bound states in semiconducting nanostructures

  2021cites this paper
• Analyticity of the energy in an Ising spin glass with correlated disorder

  2021cites this paper
• Topological superconductivity in spin-orbit-coupled semiconducting nanowires

  2021cites this paper
• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors

  2021cites this paper
• Temperature Enhancement of Thermal Hall Conductance Quantization.

  2020cites this paper
• Experimental review on Majorana zero-modes in hybrid nanowires

  2020cites this paper
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium

  2020cites this paper
• Emergent vortex Majorana zero mode in iron-based superconductors

  2020cites this paper
• Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor

  2020cites this paper
• Three-terminal nonlocal conductance in Majorana nanowires: Distinguishing topological and trivial in realistic systems with disorder and inhomogeneous potential

  2020cites this paper
• L2 localization landscape for highly excited states

  2020cites this paper
• Universal quantized thermal conductance in graphene

  2019cites this paper
• Spectrum-Wide Quantum Criticality at the Surface of Class AIII Topological Phases: An “Energy Stack” of Integer Quantum Hall Plateau Transitions

  2019cites this paper
• Criticality across the energy spectrum from random artificial gravitational lensing in two-dimensional Dirac superconductors

  2019cites this paper
• Tuning topological superconductivity in phase-controlled Josephson junctions with Rashba and Dresselhaus spin-orbit coupling

  2019cites this paper
• Stability of disordered topological superconducting phases in magnet-superconductor hybrid systems

  2019cites this paper
• Theory of the disordered $\nu = \frac{5}{2}$ quantum thermal Hall state: Emergent symmetry and phase diagram

  2018cites this paper
• Emergence of a new symmetry class for Bogoliubov–de Gennes (BdG) Hamiltonians: expanding 10-fold symmetry classes

  2018cites this paper
• ac conductivity crossover in localized superconductors

  2018cites this paper
• Time-reversal symmetry and topology in one-dimensional Josephson junctions

  2018cites this paper
• Nodal arc of disordered Dirac fermions and non-Hermitian band theory

  2018cites this paper
• Signatures of Topological Superconductivity in Bulk-Insulating Topological Insulator BiSbTe1.25Se1.75 in Proximity with Superconducting NbSe2.

  2018cites this paper
• Universal Majorana thermoelectric noise

  2018cites this paper
• Emergence of a new symmetry class in Kitaev model with interaction : Expanding more than ten fold way of symmetry class

  2018cites this paper
• Disorder-induced half-integer quantized conductance plateau in quantum anomalous Hall insulator-superconductor structures

  2017cites this paper
• Topological order from disorder and the quantized Hall thermal metal: Possible applications to the ν=5/2 state

  2017cites this paper
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance.

  2017cites this paper
• The non-commutative topology of two-dimensional dirty superconductors

  2017cites this paper
• Manipulating Andreev and Majorana Resonances in Nanowires

  2017cites this paper
• Hybrid superconductor-semiconductor nanowire junctions as useful platforms to study Majorana bound states

  2017cites this paper
• Numerical Methods for Time-Resolved Quantum Nanoelectronics

  2017cites this paper
• Topological superconductivity of spin- 3/2 carriers in a three-dimensional doped Luttinger semimetal

  2017cites this paper
• Quantum phase transition of chiral Majorana fermions in the presence of disorder

  2017cites this paper
• Superuniversality of topological quantum phase transition and global phase diagram of dirty topological systems in three dimensions

  2016cites this paper
• Mechanism, symmetry and topology of ordered phases in correlated systems = Mechanismus, Symmetrie und Topologie geordneter Phasen in korrelierten Systemen

  2016cites this paper
• A road to reality with topological superconductors

  2016influential citation
• Wiedemann-Franz-type relation between shot noise and thermal conduction of Majorana surface states in a three-dimensional topological superconductor

  2016cites this paper
• Majorana Fermions in Particle Physics, Solid State and Quantum Information

  2016cites this paper
• More on the Non-linear σ-Model

  2016cites this paper
• Spin-orbit interactions and magnetic phase transitions

  2016cites this paper
• Random-matrix theory of Majorana fermions and topological superconductors

  2014cites this paper
• Andreev-Majorana bound states in superfluids

  2014cites this paper
• Control of edge currents at a ferromagnet–triplet superconductor interface by multiple helical modes

  2014cites this paper
• Extended topological group structure due to average reflection symmetry

  2014cites this paper
• Bimodal conductance distribution of Kitaev edge modes in topological superconductors

  2014cites this paper
• SNS junctions in nanowires with spin-orbit coupling: Role of confinement and helicity on the subgap spectrum

  2014cites this paper
• Topological Superconductors and Superfluids

  2012cites this paper
• Dynamical symmetry breaking in a 2D electron gas with a spectral node

  2012cites this paper
• Topological Properties of Interacting Fermionic Systems

  2012cites this paper
• Quantum Hall transitions: An exact theory based on conformal restriction

  2012cites this paper
• Search for Majorana Fermions in Superconductors

  2011cites this paper
• Majorana fermions on a disordered triangular lattice

  2011cites this paper
• Quantizing Majorana fermions in a superconductor

  2010cites this paper
• Random-matrix theory of thermal conduction in superconducting quantum dots

  2010cites this paper
• Counting Majorana zero modes in superconductors

  2010cites this paper
• Topological insulators and superconductors: tenfold way and dimensional hierarchy

  2009cites this paper
• 0 41 10 40 v 1 1 0 N ov 2 00 4 SYMMETRY CLASSES OF DISORDERED FERMIONS by

  2008cites this paper
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions

  2008cites this paper
• Classification of topological insulators and superconductors in three spatial dimensions

  2008cites this paper
• Graphene via large N : A renormalization group study

  2008cites this paper
• Quantum Hall effects in normal and superconducting systems: localization and multifractality

  2008cites this paper
• Metal-insulator transition from combined disorder and interaction effects in Hubbard-like electronic lattice models with random hopping

  2007cites this paper
• Numerical Studies of Disordered Tight-Binding Hamiltonians

  2007cites this paper
• Anderson Transitions

  2007influential citation
• Topological order, dimerization, and spinon deconfinement in frustrated spin ladders

  2007cites this paper
• Topological insulators with inversion symmetry

  2006cites this paper
• Conductance fluctuations in disordered superconductors with broken time-reversal symmetry near two dimensions

  2006cites this paper
• Communications in Mathematical Physics Symmetry Classes of Disordered Fermions

  2005cites this paper
• Interaction effects on two-dimensional fermions with random hopping

  2005cites this paper
• Griffiths phase in the thermal quantum Hall effect

  2005cites this paper
• Symmetry Classes of Disordered Fermions

  2004cites this paper
• Impurity-induced states in conventional and unconventional superconductors

  2004cites this paper
• Random network models and quantum phase transitions in two dimensions

  2004cites this paper
• The critical temperature of the two-dimensional ±J Ising spin glass

  2003cites this paper
• The 4-loop β-function in the 2D non-Abelian Thirring model, and comparison with its conjectured “exact” form

  2002cites this paper
• PHASE COHERENCE PHENOMENA IN DISORDERED SUPERCONDUCTORS

  2002cites this paper