Topological Superconductivity and Superfluidity

Abstract

We construct time reversal invariant topological superconductors and superfluids in two and three dimensions which are analogous to the recently discovered quantum spin Hall and three-d $Z_2$ topological insulators respectively. These states have a full pairing gap in the bulk, gapless counter-propagating Majorana states at the boundary, and a pair of Majorana zero modes associated with each vortex. We show that the time reversal symmetry naturally emerges as a supersymmetry, which changes the parity of the fermion number associated with each time-reversal invariant vortex. In the presence of external T-breaking fields, non-local topological correlation is established among these fields, which is an experimentally observable manifestation of the emergent supersymmetry.

5 pages, 3 figures

References in corpus (8)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological invariants of time-reversal-invariant band structures
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Spin-charge Separated Solitons in a Topological Band Insulator
• Spin Charge Separation in the Quantum Spin Hall State

Cited by in corpus (488)

• Topological Insulators
• Topological insulators and superconductors
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Topological Crystalline Insulators
• Colloquium: Topological Band Theory
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Topological Origin of Non-Hermitian Skin Effects
• Zoo of quantum-topological phases of matter
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Experimental demonstration of the topological surface states protected by the time-reversal symmetry
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• Chiral superconductivity from repulsive interactions in doped graphene
• Spin-polarized supercurrents for spintronics: a review of current progress
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• The Coexistence of Superconductivity and Topological Order in the Bi2Se3 Thin Films
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• STM imaging of electronic waves on the surface of Bi${}_2$Te${}_3$: topologically protected surface states and hexagonal warping effects
• Topology of crystalline insulators and superconductors
• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Unconventional superconductivity on a topological insulator
• Pressure induced Superconductivity in Topological Compound Bi2Te3
• Electrically tunable surface-to-bulk coherent coupling in topological insulator thin films
• Topology of Andreev Bound States with Flat Dispersion
• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
• Majorana corner modes in a high-temperature platform
• Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
• Chiral P-Wave Order in Sr_2RuO_4
• Topological Superconductor Bi2Te3/NbSe2 heterostructures
• Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
• Topological odd-parity superconductors
• Topological superconductivity on the surface of Fe-based superconductors
• Topological phases and surface flat bands in superconductors without inversion symmetry
• Superconductivity with topological surface state in SrxBi2Se3
• Axion Electrodynamics in Topological Materials
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Topological Insulators in Random Lattices
• Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders
• Topological superconductivity in bilayer Rashba system
• Odd-Parity Pairing and Topological Superconductivity in a Strongly Spin-Orbit Coupled Semiconductor
• Observation of Single Dirac Cone Topological Surface State in Compounds TlBiTe2 and TlBiSe2 from a New Topological Insulator Family
• Topological Aspect and Quantum Magnetoresistance of $\beta$-Ag${}_2$Te
• Weak-Pairing Higher Order Topological Superconductors
• Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Masses in graphene-like two-dimensional electronic systems: topological defects in order parameters and their fractional exchange statistics
• d+id' Chiral Superconductivity in Bilayer Silicene
• Signature of Dispersing 1D Majorana Channels in an Iron-based Superconductor
• Two-dimensional surface charge transport in topological insulators
• Superconductivity from Valley Fluctuations and Approximate SO(4) Symmetry in a Weak Coupling Theory of Twisted Bilayer Graphene
• Superconductivity in the noncentrosymmetric half-Heusler compound LuPtBi : A possible topological superconductor
• Detecting the Majorana fermion surface state of ${}^3$He-B through spin relaxation
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Two-dimensional time-reversal-invariant topological superconductivity in a doped quantum spin Hall insulator
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Majorana Fermions and Exotic Surface Andreev Bound States in Topological Superconductors: Application to CuxBi2Se3
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Experimental Discovery of the First Nonsymmorphic Topological Insulator KHgSb
• Superconductivity in Topological Insulator Sb2Te3 Induced by Pressure
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Momentum space imaging of Cooper pairing in a half-Dirac-gas topological superconductor (a helical 2D topological superconductor)
• Topological electronic structure and Weyl semimetal in the TlBiSe${}_2$ class of semiconductors
• Helical Hinge Majoranas in Iron-Based Superconductors
• Inducing time reversal invariant topological superconductivity and fermion parity pumping in quantum wires
• Theoretical Prediction of Topological Insulators in Thallium-based III-V-VI${}_2$ Ternary Chalcogenides
• Topological insulators in three dimensions from spontaneous symmetry breaking
• Majorana bound states without vortices in topological superconductors with electrostatic defects
• Superconductivity in Weyl metals
• Types of topological surface states in nodal noncentrosymmetric superconductors
• Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4
• Resonant and crossover phenomena in a multiband superconductor tuning the chemical potential near a band edge
• Conductance and noise signatures of Majorana backscattering
• Topological Crystalline Materials - General Formulation, Module Structure, and Wallpaper Groups -
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Interplay between Superconductivity and Ferromagnetism on a Topological Insulator
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Weak Antilocalization Effect and Noncentrosymmetric Superconductivity in a Topologically Nontrivial Semimetal LuPdBi
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Theory of Twist Liquids: Gauging an Anyonic Symmetry
• Electrochemical synthesis and superconducting phase diagram of Cu_xBi2Se3
• Topological field theory and thermal responses of interacting topological superconductors
• Majorana-time-reversal symmetries: a fundamental principle for sign-problem-free quantum Monte Carlo simulations
• Tunneling Conductance and Surface States Transition in Superconducting Topological Insulators
• Symmetry protected topological phases in non-interacting fermion systems
• Superconductivity in the doped topological insulator Cu${}_x$Bi${}_2$Se${}_3$ under high pressure
• Vortices and Other Topological Solitons in Dense Quark Matter
• Majorana modes in time-reversal invariant s-wave topological superconductors
• Majorana nanowires for topological quantum computation
• Tunneling of anyonic Majorana excitations in topological superconductors
• Time-Reversal Invariant Topological Superconductivity Induced by Repulsive Interactions in Quantum Wires
• Atomic line defects and zero-energy end states in monolayer Fe(Te,Se) high-temperature superconductors
• Topological Dirac States and Pairing Correlations in the Non-Centrosymmetric Superconductor PbTaSe2
• Superconductivity of topological insulator Bi2Se3 at high pressures
• Observation of an edge supercurrent in the Weyl superconductor MoTe${}_2$
• Topologically stable gapless phases of time-reversal invariant superconductors
• Axion topological field theory of topological superconductors
• Experimental Observation of Topological Superconductivity and Majorana Zero Modes on beta-Bi2Pd Thin Films
• Phase Diagram of Pressure-induced Superconductivity and its Relation to Hall Coefficient in Bi2Te3 Single Crystal
• Particle-vortex duality in topological insulators and superconductors
• Exploration and prediction of topological electronic materials based on first-principles calculations
• Fermiology of Strongly Spin-Orbit Coupled Superconductor Sn1-xInxTe and its Implication to Topological Superconductivity
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Localized Majorana-like modes in a number conserving setting: An exactly solvable model
• Correlation and transport phenomena in topological nodal-loop semimetals
• Non-Abelian Majorana Doublets in Time-Reversal Invariant Topological Superconductor
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Surface spectral function in the superconducting state of a topological insulator
• All Majorana Models with Translation Symmetry are Supersymmetric
• Spin-helical transport in normal and superconducting topological insulators
• Symmetry-protected topological invariants of symmetry-protected topological phases of interacting bosons and fermions
• Evidence from Tunneling Spectroscopy for a Quasi-One Dimensional Origin of Superconductivity in Sr2RuO4
• Superconductivity in Tl_{0.6}Bi_{2}Te_{3} Derived from a Topological Insulator
• Robustness of odd-parity superconductivity with spin-orbit locking against disorder
• Strong Anisotropy in Spin Suceptibility of Superfluid 3He-B Film Caused by Surface Bound States
• Power-Law Decay of Standing Waves on the Surface of Topological Insulators
• Topological Odd-Parity Superconductivity at Type-II 2D Van Hove Singularities
• Layer construction of 3D topological states and string braiding statistics
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Global Anomalies on the Hilbert Space
• Topological insulators from the Perspective of first-principles calculations
• The Dirac-Weyl semimetal: Coexistence of Dirac and Weyl fermions in polar hexagonal $ABC$ crystals
• Hidden-Symmetry-Protected Topological Semimetals on a Square Lattice
• Conventional Superconductivity in Type II Dirac Semimetal PdTe${}_2$
• Classification of Symmetry-Protected Phases for Interacting Fermions in Two Dimensions
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• Competition between d-wave and topological p-wave superconductivity in the doped Kitaev-Heisenberg model
• Surface Majorana Cone of the Superfluid ${}^3$He B Phase
• Composite Dirac liquids: parent states for symmetric surface topological order
• Turning a Band Insulator Into an Exotic Superconductor
• Patterns of Electro-magnetic Response in Topological Semi-metals
• Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
• Induced unconventional superconductivity on the surface states of Bi${}_2$Te${}_3$ topological insulator
• Absence of zero-energy surface bound states in CuxBi2Se3 via a study of Andreev reflection spectroscopy
• Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions
• Electronic structure of a superconducting topological insulator Sr-doped Bi2Se3
• Topological magnetic crystalline insulators and co-representation theory
• Superconductivity on the surface of topological insulators and in two-dimensional noncentrosymmetric materials
• Classification of Crystalline Topological Insulators and Superconductors with Point Group Symmetries
• Classification of (2+1)D invertible fermionic topological phases with symmetry
• Low carrier concentration crystals of the topological insulator Bi${}_{2-x}$Sb${}_x$Te${}_{3-y}$Se${}_y$: a magnetotransport study
• Majorana zero modes in dislocations of Sr${}_2$RuO${}_4$
• Helical Dirac-Majorana interferometer in a superconductor-topological insulator sandwich structure
• Intrinsic Time-reversal-invariant Topological Superconductivity in Thin Films of Iron-based Superconductors
• Majorana surface states of superfluid 3He A- and B-phases in a slab
• Approaching the Type-II Dirac Point and Concomitant Superconductivity in Pt-doping Stabilized Metastable 1T-phase IrTe2
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors
• Quantum impurity spin in Majorana edge fermions
• Chiral transport along magnetic domain walls in the quantum anomalous Hall effect
• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects
• Spin current and spin accumulation near a Josephson junction between a singlet and triplet superconductor
• Crystalline symmetry protected helical Majorana modes in the iron pnictides
• Probe of Three-Dimensional Chiral Topological Insulators in an Optical Lattice
• Time-reversal anomaly and Josephson effect in time-reversal invariant topological superconductors
• Topological phase transitions in superradiance lattices
• Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
• Topological superconductivity in doped magnetic moiré semiconductors
• Andreev spectroscopy and surface density of states for a three-dimensional time-reversal invariant topological superconductor
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Majorana Excitations, Spin- and Mass Currents on the Surface of Topological Superfluid ${}^3$He-B
• Spontaneous currents in a superconductor with s+is symmetry
• Scaling Theory of Topological Phase Transitions
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Edge quantum criticality and emergent supersymmetry in topological phases
• Topological Crystalline Insulator Nanostructures
• Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO${}_3$
• Scattering theory of chiral Majorana fermion interferometry
• Topological insulators with SU(2) Landau levels
• STM imaging of a bound state along a step on the surface of the topological insulator Bi${}_2$Te${}_3$
• Edge currents as a signature of flat bands in topological superconductors
• Unusual non saturating Giant Magneto-resistance in single crystalline Bi2Te3 topological insulator
• Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
• Search for superconducting proximity effect in a topological insulator and high temperature superconductor heterostructure Bi2Se3/Bi2Sr2CaCu2O8+
• Fermionized parafermions and symmetry-enriched Majorana modes
• Coupled wire model of symmetric Majorana surfaces of topological superconductors
• Interacting two helical edge modes in quantum spin Hall systems
• Electronic structure near an impurity and terrace on the surface of a 3-dimensional topological insulator
• Superconducting doped topological materials
• Kramers pairs of Majorana corner states in a topological insulator bilayer
• BCS-like superconductivity in the noncentrosymmetric compounds Nb${}_x$Re${}_{1-x}$
• Stanene: A Good Platform for Topological Insulator and Topological Superconductor
• Is a color superconductor topological?
• Dependence of superconductivity in CuxBi2Se3 on quenching conditions
• Topological invariant for generic 1D time reversal symmetric superconductors in class DIII
• Anomalous suppression of the superfluid density in the CuxBi2Se3 superconductor upon progressive Cu intercalation
• Double helix nodal line superconductor
• Nanocalorimetric Evidence for Nematic Superconductivity in the Doped Topological Insulator Sr${}_{0.1}$Bi${}_2$Se${}_3$
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum
• Nematic and chiral superconductivity induced by odd-parity fluctuations
• Multiple signatures of topological transitions for interacting fermions in chain lattices
• Engineering electronic structure of a 2D topological insulator Bi(111) bilayer on Sb nanofilms by quantum confinement effect
• Pairing state at an interface of Sr${}_2$RuO${}_4$: parity-mixing, restored time-reversal symmetry, and topological superconductivity
• Majorana surface modes of nodal topological pairings in spin-$\frac{3}{2}$ semi-metals
• Symmetry-protected non-Abelian braiding of Majorana Kramers' pairs
• Majorana corner flat bands in two-dimensional second-order topological superconductors
• Topological superconducting states in monolayer FeSe/SrTiO${}_3$
• Pressure-induced superconductivity in topological semimetal NbAs2
• Topological Nonsymmorphic Crystalline Superconductors
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Topological Insulators and Quantum Spin Liquids
• Non-Abelian Majorana modes protected by an emergent second Chern number
• No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
• Bridging Fermionic and Bosonic Short Range Entangled States
• Electrically tunable topological superconductivity and Majorana fermions in two dimensions
• Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
• Classification of pair symmetries in superconductors with unconventional magnetism
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Superfluid 3He in a restricted geometry with a perpendicular magnetic field
• Indium substitution effect on the topological crystalline insulator family (Pb${}_{1-x}$Sn${}_x$)${}_{1-y}$In${}_y$Te: Topological and superconducting properties
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• Theory of quasiparticle scattering interference on the surface of topological superconductors
• Multiband s-wave topological superconductors: role of dimensionality and magnetic field response
• Transport through a quantum dot coupled to two Majorana bound states
• Tunneling spectroscopy of topological superconductors
• Demonstrating Lattice-Symmetry-Protection in Topological Crystalline Superconductors
• Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
• Complete homotopy invariants for translation invariant symmetric quantum walks on a chain
• Classification of spin liquids on the square lattice with strong spin-orbit coupling
• Algebra of Majorana Doubling
• Topological p+ip superconductivity in doped graphene-like single-sheet materials BC${}_3$
• Thermal metal-insulator transition in a helical topological superconductor
• Interaction-driven topological superconductivity in one dimension
• Evolution of Edge States and Critical Phenomena in the Rashba Superconductor with Magnetization
• Systematic Construction of tight-binding Hamiltonians for Topological Insulators and Superconductors
• Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries $G_f$ and in any dimensions
• Detecting Majorana fermions in quasi-one-dimensional topological phases using nonlocal order parameters
• Unification of topological invariants in Dirac models
• Single full gap with mixed type-I and type-II superconductivity on surface of the type-II Dirac semimetal PdTe2 by point-contact spectroscopy
• Surface states scattering from a step defect in topological insulator Bi_{2}Te_{3}
• Spontaneous time-reversal symmetry breaking in the boundary Majorana flat bands
• Highly tunable time-reversal-invariant topological superconductivity in topological insulator thin films
• Symmetry and topology of two-dimensional noncentrosymmetric superconductors
• Dissipationless Spin Current between Two Coupled Ferromagnets
• Embedded Topological Insulators
• Chiral d-wave superfluid in periodically driven lattices
• Interface currents in topological superconductor-ferromagnet heterostructures
• Tunneling between Two Helical Superconductors via Majorana Edge Channels
• Quantum Atmospherics for Materials Diagnosis
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Symmetry-protected Nodal Points and Nodal Lines in Magnetic Materials
• Mixed type I and type II superconductivity due to intrinsic electronic inhomogeneities in the type II Dirac semimetal PdTe2
• Zeeman field induced topological phase transitions in triplet superconductors
• Random Spin-orbit Coupling in Spin Triplet Superconductors: Stacking Faults in Sr_2RuO_4 and CePt_3Si
• Josephson Effect in Noncentrosymmetric Superconductor Junctions
• Sub-gap in the Edge States of 2-D Chiral Superconductor with Rough Surface
• Chiral Majorana fermions in graphene from proximity-induced superconductivity
• Interaction effects on proximity-induced superconductivity in semiconducting nanowires
• Non-perturbative constraints from symmetry and chirality on Majorana zero modes and defect quantum numbers in (2+1)D
• Multiple Chiral Majorana Fermion Modes and Quantum Transport
• Fractional vortex lattice structures in spin triplet superconductors
• Topological Majorana Two-Channel Kondo Effect
• Quantum oscillations and a non-trivial Berry phase in the noncentrosymmetric superconductor BiPd
• Majorana edge modes of superfluid 3He A-phase in a slab
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Majorana edge modes of topological exciton condensate with superconductors
• Time-reversal-invariant topological superconductivity in n-doped BiH
• $\beta$-RhPb${}_2$, a topological superconductor candidate
• Evidence for spin-triplet odd-parity superconductivity close to type-II van Hove singularities
• Fermions with cubic and quartic spectrum
• Electromagnetic and thermal responses in topological matter: topological terms, quantum anomalies and D-branes
• Transport evidence for three dimensional topological superconductivity in doped $\beta$-PdBi${}_2$
• Theory of tunneling spectroscopy for chiral topological superconductors
• Evidence for Unconventional Superconductivity and Nontrivial Topology in PdTe
• From Dirac semimetals to topological phases in three dimensions: a coupled wire construction
• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• Topological D+p-wave superconductivity in Rashba systems
• Topological superconductivity in Dirac honeycomb systems
• Zero Energy Modes and Statistics of Vortices in Spinful Chiral p-Wave Superfluids
• Topological phases and fractional excitations of the exciton condensate in a special class of bilayer systems
• Atomic line defects and topological superconductivity in unconventional superconductors
• Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
• Topological Magnons in a One-dimensional Itinerant Flatband Ferromagnet
• Time-reversal invariant topological superfluids in Bose-Fermi mixtures
• Cooperon condensation and intra-valley pairing states in honeycomb Dirac systems
• Majorana Zero-Modes in a Two-Dimensional $p$-Wave Superconductor
• Josephson effect in a multi-orbital model for Sr${}_2$RuO${}_4$
• Majorana zero modes bound to a vortex line in a topological superconductor
• Impact of topology on the impurity effects in extended $s$-wave superconductors with spin-orbit coupling
• Rashba Sandwiches with Topological Superconducting Phases
• Finite-Scale Emergence of 2+1D Supersymmetry at First-Order Quantum Phase Transition
• Low-energy excitations and non-BCS superconductivity in Nb${}_x$-Bi${}_2$Se${}_3$
• Electron and hole contributions to normal-state transport in the superconducting system Sn${}_{1-x}$In${}_x$Te
• Dirac State in a Centrosymmetric Superconductor alpha-PdBi2
• Exactly Solvable Model for Two Dimensional Topological Superconductor
• Majorana Kramers pair in a nematic vortex
• Surface Majorana fermions and bulk collective modes in superfluid 3He-B
• Topological insulators and topological non-linear sigma models
• Hybrid-order topological odd-parity superconductors via Floquet engineering
• Fully Gapped s-wave-like Superconducting State and Electronic Structures in the Ir0.95Pd0.05Te2 Single Crystals with Strong Spin-orbital Coupling
• Quantum impurity coupled to Majorana edge fermions
• Non-Hermitian second-order topological superconductors
• Shape resonance at a Lifshitz transition for high temperature superconductivity in multiband superconductors
• Study of superfluid ${}^3$He under nanoscale confinement. A new approach to the investigation of superfluid ${}^3$He films
• Topological phase transitions of Thouless charge pumping realized in helical organic molecules with long-range hoppings
• Momentum-Space Spin Texture in a Topological Superconductor
• Surface states and local spin susceptibility in doped three-dimensional topological insulators with odd-parity superconducting pairing symmetry
• Itinerant Ferromagnetism and $p+i{p}^{\prime }$ Superconductivity in Doped Bilayer Silicene
• Emergent superconductivity by Re doping in type -II Weyl semimetal NiTe2
• Topological semimetallic phase in PbO${}_2$ promoted by temperature
• Phase-locked magnetoconductance oscillations as a probe of Majorana edge states
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Controlling spin-orbit coupling to tailor type-II Dirac bands
• Andreev spectroscopy of doped HgTe quantum wells
• Signatures of the Helical Phase in the Critical Fields at Twin Boundaries of Non-Centrosymmetric Superconductors
• Dislocation Majorana zero modes in perovskite oxide 2DEG
• Weyl semimetals in optical lattices: moving and merging of Weyl points, and hidden symmetry at Weyl points
• Power-law Temperature Dependence of the Penetration Depth in a Topological Superconductor due to Surface States
• Ground state angular momentum, spectral asymmetry, and topology in chiral superfluids and superconductors
• Embedded Topological Semimetals
• Dynamically characterizing topological phases by high-order topological charges
• Helical Majorana edge mode in a superconducting antiferromagnetic quantum spin Hall insulator
• Helical Majorana surface states of strongly disordered topological superconductors with time-reversal symmetry
• Z${}_2$ index theorem for Majorana zero modes in a class D topological superconductor
• Superconducting proximity effect in $d$-wave cuprate/ graphene heterostructures
• Discovery of parity-violating Majorana fermions in a chiral superconductor Sr2RuO4
• Proximity induced time-reversal topological superconductivity in Bi2Se3 films without phase tuning
• Chemical Principles of Intrinsic Topological Superconductors
• Exact solutions in two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking
• Massive suppression of proximity pairing in topological (Bi${}_{1-x}$Sb${}_x{)}_2$Te${}_3$ films on niobium
• Majorana fermions manifested as interface-states in semiconductor hybrid structures
• Stability of Topological character of Weyl Semi-metal, and Topological Dipole in Holography
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Quarter-quantized thermal Hall effect with parity anomaly
• Majorana Doublets, Flat Bands, and Dirac Nodes in s-Wave Superfluids
• Internal pressure in superconducting Cu intercalated Bi${}_2$Se${}_3$
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Thermodynamic transitions and topology of spin-triplet superconductivity: Application to UTe${}_2$
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Triangular pair density wave in confined superfluid ${}^3$He
• Thermoelectric detection of Andreev states in unconventional superconductors
• Translation invariant topological superconductors on lattice
• Review: Observation of Majorana Bound States at a Free Surface of ${}^3$He-B
• Nonlocal conductance reveals helical superconductors
• Supersymmetry in Closed Chains of Coupled Majorana Modes
• Boundary supersymmetry of 1+1 d fermionic SPT phases
• Multipolar superconductivity in Luttinger semimetals
• Fulde-Ferrell-Larkin-Ovchinnikov state to topological superfluidity transition in bilayer spin-orbit coupled degenerate Fermi gas
• Topological superconductivity mediated by magnons of helical magnetic states
• Single branch of chiral Majorana modes from doubly degenerate Fermi surfaces
• Curvature function renormalisation, topological phase transitions and multicriticality
• Skyrmion spin texture in ferromagnetic semiconductor-superconductor heterostructures
• Quantum transport in topological insulator hybrid structures -- A combination of topological insulator and superconductor
• Fermiology of possible topological superconductor Tl0.5Bi2Te3 derived from hole-doped topological insulator
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Helical Majorana fermions at the interface of Weyl semimetal and d-wave superconductor: Application to Iridates and high-Tc Cuprates
• Magnetic Order in 3D Topological Insulators -- Wishful Thinking or Gateway to Emergent Quantum Effects?
• Unified approach to topological quantum computation with anyons: From qubit encoding to Toffoli gate
• Effective low energy theory for surface Andreev bound states of superconducting phases in generalized Bernevig-Hughes-Zhang models
• Time-reversal-invariant topological superconductivity
• Topological quantum phase transitions and edge states in spin-orbital coupled Fermi gases
• Inherited topological superconductivity in two-dimensional Dirac semimetals
• Symmetry-protected topological invariant and Majorana impurity states in time-reversal-invariant superconductors
• Dynamics of a Vortex Dipole in a Holographic Superfluid
• Superfluidity and spin superfluidity in spinor Bose gases
• Spontaneous magnetization in unitary superconductors with time reversal symmetry breaking
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes
• Zero-Energy Modes on Superconducting Bismuth Islands Deposited on Fe(Te,Se)
• Higher Chern numbers in multilayer ($\mathcal{N}\ge 2$) Lieb lattices: Topological transitions and quadratic band crossing lines
• Effective Long-Range Pairing and Hopping in Topological Nanowires Weakly Coupled to $s$-Wave Superconductors
• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Modelling of vorticity, sound and their interaction in two-dimensional superfluids
• Time-Reversal Invariant Topological Superconductivity in Planar Josephson Bijunction
• Higher-order topological superconductivity in a topological metal 1T${}^{\prime }$-MoTe${}_2$
• Spontaneous Josephson $\pi$ Junctions with Topological Superconductors
• Spin-Nernst Effect in Time-Reversal-Invariant Topological Superconductors
• Two-dimensional topological superconducting phases emerged from d-wave superconductors in proximity to antiferromagnets
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Weyl point immersed in a continuous spectrum: an example from superconducting nanostructures
• Supercurrent Reversal in Two-Dimensional Topological Insulators
• Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Phase Transition in IrTe${}_2$ induced by spin-orbit coupling
• Chiral f-wave Topological Superuid in Triangular Optical Lattices
• SPT 2-Channel Kondo Model in the Structure of Normal Metal/Quantum Dot/DIII-class Topological Superconductor
• Topological Quantum Criticality in Superfluids and Superconductors: Surface criticality, Thermal properties, and Lifshitz Majorana fields
• Control of Edge Currents at a Ferromagnet - Triplet Superconductor Interface by Multiple Helical Majorana Modes
• Intrinsic topological superconductivity with exactly flat surface bands in the quasi-one-dimensional A${}_2$Cr${}_3$As${}_3$ (A=Na, K, Rb, Cs) superconductors
• Metallic states beyond Tomonaga-Luttinger liquids in one dimension
• Distribution of Conductances in Chiral Topological Superconductor Junctions
• Magnetic tilting and emergent Majorana spin connection in topological superconductors
• Hybridization mechanism of the dual proximity effect in superconductor-topological insulator interfaces
• Supersymmetric boundaries of one-dimensional phases of fermions beyond symmetry-protected topological states
• Ferromagnetic Impurity Induced Majorana Zero Mode in Iron-Based Superconductor
• Accessing topological superconductivity via a combined STM and renormalization group analysis
• Effects on the Non-Relativistic Dynamics of a Charged Particle Interacting with a Chern-Simons Potential
• Impurity Effects on Superconductivity on Surfaces of Topological Insulators
• Topological spinon bands and vison excitations in spin-orbit coupled quantum spin liquids
• Charge conservation protected topological phases
• Topological superconductivity from transverse optical phonons in oxide heterostructures
• Chiral to helical Majorana fermion transition in a $p$-wave superconductor
• Directly Detecting the Edge Current in a $p_x+i{p}_y$ Topological Superfluid
• A Hamiltonian Approach for Obtaining Irreducible Projective Representations and the $k\cdot p$ Perturbation for Anti-unitary Symmetry Groups
• Andreev spectroscopy of the triplet superconductivity state in Bi/Ni bilayer system
• Impurity-induced bound states in superconductors with topological order
• Symmetry analysis of transport properties in helical superconductor junctions
• Topology from Triviality
• Edge states and local electronic structure around an adsorbed impurity in a topological superconductor
• Quantum Monte Carlo simulation of a two-dimensional Majorana lattice model
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Spin conductance in SNN junctions with non-centrosymmetric superconductors
• Tunable ground states in helical $p$-wave Josephson junctions
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Exotic Haldane Superfluid Phase of Soft-Core Bosons in Optical Lattices
• Prediction and description of a chiral pseudogap phase
• Braiding Induced by Finite-Size Effect in One-Dimensional Topological Superconductors
• Superfluid phase transition of nanoscale-confined helium-3
• Three-dimensional symmetry breaking topological matters
• Nonlinear Hall Effect in Antiferromagnetic Half-Heusler Materials
• Fractionalized time reversal, parity and charge conjugation symmetry in topological superconductor: a possible origin of three generations of neutrinos and mass mixing
• Electrostatic effects of the MnBi2Te4-superconductor hetero-structures in chiral Majorana search
• Non-Quantized Edge Channel Conductance and Zero Conductance Fluctuation in Non-Hermitian Chern Insulators
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• Competing interactions in population-imbalanced two-component Bose-Einstein condensates
• Majorana multipole response with magnetic point group symmetry
• Marginally localized edges of time-reversal symmetric topological superconductors
• Some results on topological currents in field theory
• Surface Spectral Function of Momentum-dependent Pairing Potentials in a Topological Insulator: Application to Cu${}_x$Bi${}_2$Se${}_3$
• Superconductive proximity in a Topological Insulator slab and excitations bound to an axial vortex
• Topological Superfluid in one-dimensional Ultracold Atomic System with Spin-Orbit Coupling
• Superconductivity in Bi based Bi2PdPt
• Mixed-parity superconductivity near Lifshitz transitions in strongly spin-orbit-coupled metals
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• The cohomology invariant for class DIII topological insulators
• Representation-protected topology of spin-singlet $s$-wave superconductors
• Topological strings linking with quasi-particle exchange in superconducting Dirac semimetals
• Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
• Signatures of surface Majorana modes in the magnetic response of topological superconductors
• Fully suspended nano-beams for quantum fluids
• Experimental realization of Majorana hinge and corner modes in intrinsic organic topological superconductor without magnetic field at room temperature
• Topological phase in a $d_{x^2-y^2}+(p+ip)$ superconductor in presence of spin-density-wave
• Hinge Majorana Flat Band in Type-II Dirac Semimetals
• Tunneling between helical Majorana modes and helical Luttinger liquids
• Dynamical detection of mean-field topological phases in an interacting Chern insulator
• Subgap in the surface bound states spectrum of Superfluid ${}^3$He-B with Rough Surface
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
• Tunable zero-energy Dirac and Luttinger nodes in a two-dimensional topological superconductor
• Bulk-boundary correspondence in Josephson Junctions
• Inductance Due to Spin Current
• Inducing ${\mathbb{Z}}_2$ Topology in Twisted Nodal Superconductors
• Designing ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ topological orders in networks of Majorana bound states
• Multi-locational Majorana Zero Modes
• Combining quantum spin hall effect and superconductivity in few-layer stanene
• Anisotropic differential conductance of a mixed parity superconductor/ferromagnet structure
• Majorana edge states and topological properties in 1D/2D Rashba semiconductor proximity coupled to iron-based superconductor
• ${}^3$He-R: A Topological $s^{\pm }$ Superfluid with Triplet Pairing
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Rotating Majorana Zero Modes in a disk geometry
• Fermi Surface Topology and Magneto-transport Properties of Superconducting Pd${}_3$Bi${}_2$Se${}_2$
• Fusion Rules of Majorana-Kramer-Pairs in Time-Reversal-Invariant Topological Superconductors
• Measuring the Spin Polarization of a Ferromagnet: an Application of Time-Reversal Invariant Topological Superconductor
• Possible Electric-Field-Induced Superconducting States in Doped Silicene
• Majorana edge states in s-wave kagome superconductors with Rashba interaction
• Generic Weyl phase in the vortex state of quasi-two-dimensional chiral superconductors
• Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
• Robust quantized thermal conductance of Majorana floating edge bands in d-wave superconductors
• Multiple phases in K2Cr3As3: a playground for manipulating topological superconductivity
• Solving two-dimensional non-relativistic electronic and muonic atoms governed by Chern-Simon potential
• Majorana Zero Modes and Topological Nature in Bi2Ta3S6-family Superconductors
• Possible Chiral Topological Superconductivity in CrO${}_2$ bilayers
• Majorana fermions, supersymmetry and thermofield dynamics
• Euler band topology in superfluids and superconductors
• Electronic structures and stability investigation of the new class of large band gap topological insulators MTl${}_4$Te${}_3$ (M = Cd, Hg)
• Fermi-surface diagnosis for topological superconductivity with $s$-wave-like pairing symmetries
• Changes of Kondo effect in the junction with DIII-class topological and $s$-wave superconductors
• Hydrodynamic theory of surface excitations of three-dimensional topological insulators
• Chiral Majorana Fermions in two dimensional square lattice antiferromagnet with proximity-induced superconductivity
• Topological Properties and Characterizations
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
• To See a World in a Grain of Sand -- The Scientific Life of Shoucheng Zhang
• From D=3 to D=2 dimensions: a note on topological order
• Influence of Magnetic Field on Surface Andreev Bound States in Superfluid ${}^3$He-B Studied by Mobility of Electron Bubble
• Magnetically tuned topological phase in graphene nanoribbon heterojunctions
• Multigap nodeless superconductivity in Dirac semimetal PdTe
• Equivalence class of Emergent Single Weyl fermion lattice models in 3 dimensions: gapless superconductors and superfluids versus chiral fermions