Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials

Abstract

In this review, we discuss recent progress in the explorations of topological materials beyond topological insulators; specifically, we focus on topological crystalline insulators and bulk topological superconductors. The basic concepts, model Hamiltonians, and novel electronic properties of these new topological materials are explained. The key role of symmetries that underlie their topological properties is elucidated. Key issues in their materials realizations are also discussed.

27 pages, 5 figures, 150 references; invited review article to be published in Annual Review of Condensed Matter Physics, Volume 6

References in corpus (35)

• The electronic properties of graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological Crystalline Insulators
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Antiferromagnetic topological insulators
• The space group classification of topological band insulators
• Topology of crystalline insulators and superconductors
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Observation of Dirac Holes and Electrons in a Topological Insulator
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Strain-induced partially flat band, helical snake states, and interface superconductivity in topological crystalline insulators
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Local Measurements of the Superconducting Pairing Symmetry in CuxBi2Se3
• Odd-Parity Pairing and Topological Superconductivity in a Strongly Spin-Orbit Coupled Semiconductor
• Time-reversal invariant topological superconductivity in doped Weyl semimetals
• Majorana Fermions in Nodal Superconductors: Gapless Topological Phase
• Axion topological field theory of topological superconductors
• Surface spectral function in the superconducting state of a topological insulator
• Topological zero modes and Dirac points protected by spatial symmetry and chiral symmetry
• A new superconductor derived from topological insulator heterostructure
• Non-magnetic impurity effects in a three-dimensional topological superconductor: From p- to s-wave behaviors
• Novel anisotropic spin singlet pairings in Cu${}_x$Bi${}_2$Se${}_3$ and Bi${}_2$Te${}_3$
• Unveiling a crystalline topological insulator in a Weyl semimetal with time-reversal symmetry
• Triplet superconductivity in 3D Dirac semimetal due to exchange interaction

Cited by in corpus (393)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Classification of topological quantum matter with symmetries
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological superconductors: a review
• Topological phases of non-Hermitian systems
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Towards ideal topological materials: Comprehensive database searches using symmetry indicators
• Electronic and optical properties of strained graphene and other strained 2D materials: a review
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Interacting topological insulators: a review
• Three-dimensional topological photonic crystal with a single surface Dirac cone
• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Fracton-Elasticity Duality
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• A fractional corner anomaly reveals higher-order topology
• Möbius Insulator and Higher-Order Topology in MnBi${}_{2n}$Te${}_{3n+1}$
• Efficient Topological Materials Discovery Using Symmetry Indicators
• Topological quantum materials from the viewpoint of chemistry
• Second-order topological non-Hermitian skin effects
• Topological phases protected by point group symmetry
• Superconducting Topological Surface States in Non-centrosymmetric Bulk Superconductor PbTaSe2
• Building crystalline topological phases from lower-dimensional states
• Engineering Corner States from Two-Dimensional Topological Insulators
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Fractional disclination charge in two-dimensional $C_n-$symmetric topological crystalline insulators
• Experimental observation of non-Abelian topological charges and bulk-edge correspondence
• Dimensional Crossover of Topological Edge States in Su-Schrieffer-Heeger Model
• Rotation Anomaly and Topological Crystalline Insulators
• Symmetry Enforced Chiral Hinge States and Surface Quantum Anomalous Hall Effect in Magnetic Axion Insulator ${\text{Bi}}_{2-x}{\text{Sm}}_x{\text{Se}}_3$
• Symmetry and Quantum Kinetics of the Non-linear Hall Effect
• Floquet second-order topological insulators from nonsymmorphic space-time symmetries
• Possible topologically non-trivial superconducting order parameter in type-II Weyl semimetal T_d-MoTe_2
• Topological switch between second-order topological insulators and topological crystalline insulators
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Odd-parity superconductivity in the vicinity of inversion symmetry breaking in spin-orbit-coupled systems
• Nonsymmorphic symmetry-required band crossings in topological semimetals
• First Principles Calculations for Topological Quantum Materials
• Band Representations and Topological Quantum Chemistry
• Fractional corner charges in spin-orbit coupled crystals
• Probing quantum devices with radio-frequency reflectometry
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Theory of interacting topological crystalline insulators
• Higher order symmetry-protected topological states for interacting bosons and fermions
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Odd-parity superconductors with two-component order parameters: nematic and chiral, full gap and Majorana node
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Refined symmetry indicators for topological superconductors in all space groups
• Topological states from topological crystals
• Symmetry representation approach to topological invariants in $C_{2z}T$-symmetric systems
• Quantized conductance of Majorana zero mode in the vortex of the topological superconductor (Li0.84Fe0.16)OHFeSe
• Square-root higher-order topological insulator on a decorated honeycomb lattice
• Multipolar Topological Field Theories: Bridging Higher Order Topological Insulators and Fractons
• Superconductivity in Tl_{0.6}Bi_{2}Te_{3} Derived from a Topological Insulator
• Topological Entanglement-Spectrum Crossing in Quench Dynamics
• Higher-Order topological insulator in a dodecagonal quasicrystal
• Crystal-to-Fracton Tensor Gauge Theory Dualities
• Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms
• A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
• Mixed topological semimetals driven by orbital complexity in two-dimensional ferromagnets
• A comprehensive review on topological superconducting materials and interfaces
• Identification of nematic superconductivity from the upper critical field
• Evidence of nodes in the order parameter of the superconducting doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ via penetration depth measurements
• Strong Room-Temperature Bulk Nonlinear Hall Effect in a Spin-Valley Locked Dirac Material
• Majorana qubits in topological insulator nanoribbon architecture
• Weyl fermions with arbitrary monopole in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering
• ${\mathbb{Z}}_Q$ Berry Phase for Higher-Order Symmetry-Protected Topological Phases
• Symmetry indicators of band topology
• Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
• Exploring Topological Superconductivity in Topological Materials
• Exotic Superconducting Properties in Topological Nodal Semimetal PbTaSe${}_2$
• Lorentz violation in Dirac and Weyl semimetals
• Higher-order topological band structures
• Classification of Crystalline Topological Insulators and Superconductors with Point Group Symmetries
• Floquet higher-order topological insulators and superconductors with space-time symmetries
• Robust odd-parity superconductivity in the doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$
• Direct observation and temperature control of the surface Dirac gap in the topological crystalline insulator (Pb,Sn)Se
• Topological Materials Discovery By Large-order symmetry indicators
• Classification of topological crystalline insulators based on representation theory
• Nanowires: A route to efficient thermoelectric devices
• Revealing puddles of electrons and holes in compensated topological insulators
• Topological states in quasicrystals
• Three-dimensional superconductors with hybrid higher order topology
• Exhaustive constructions of effective models in 1651 magnetic space groups
• Majorana bound states in semiconducting nanostructures
• Bulk invariants and topological response in insulators and superconductors with nonsymmorphic symmetries
• Unconventional topological phase transition in two-dimensional systems with space-time inversion symmetry
• Splitting the hinge mode of higher-order topological insulators
• Higher order topological superconductors as generators of quantum codes
• Topological Dirac line nodes and superconductivity coexist in SnSe at high pressure
• Four-band non-Abelian topological insulator and its experimental realization
• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Two-dimensional topological nodal line semimetal in layered $X_{2}Y$ ($X$ = Ca, Sr, and Ba; $Y$ = As, Sb, and Bi)
• Topological phase transitions in multi-component superconductors
• Weyl and Dirac Loop Superconductors
• Magnus Nernst and thermal Hall effect
• Dislocation charges reveal two-dimensional topological crystalline invariants
• Qsymm: Algorithmic symmetry finding and symmetric Hamiltonian generation
• Type-II Dirac surface states in topological crystalline insulators
• Computation of topological phase diagram of disordered Pb${}_{1-x}$Sn${}_x$Te using the kernel polynomial method
• Multiple nodeless superconducting gaps in noncentrosymmetric superconductor PbTaSe2 with topological bulk nodal lines
• Testing Topological Protection of Edge States in Hexagonal Quantum Spin Hall Candidate Materials
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Excess charges as a probe of one-dimensional topological crystalline insulating phases
• Topological superconductivity in quasicrystals
• Hourglass Fermion Surface States in Stacked Topological Insulators with Nonsymmorphic Symmetry
• Robust Dual Topological Character with Spin-Valley Polarization in a Monolayer of the Dirac Semimetal Na${}_3$Bi
• Generic coexistence of Fermi arcs and Dirac cones on the surface of time-reversal invariant Weyl semimetals
• Kane-Mele with a twist: Quasicrystalline higher-order topological insulators with fractional mass kinks
• Spin-triplet superconductivity from interband effect in doped insulators
• Semiconductor materials stacks for quantum dot spin qubits
• Anomalous Crystal Symmetry Fractionalization on the Surface of Topological Crystalline Insulators
• Helical Liquids in Semiconductors
• Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
• Topological space-time crystal
• Hybridization-Induced Gapped and Gapless States on the Surfaces of Magnetic Topological Insulators
• Nodeless Superconductivity and its Evolution with Pressure in the Layered Dirac Semimetal 2M-WS_2
• Unusual non saturating Giant Magneto-resistance in single crystalline Bi2Te3 topological insulator
• Ni${}_2$Mo${}_3$O${}_8$: zig-zag antiferromagnetic order an integer spin non-centrosymmetric honeycomb lattice
• Comprehensive scan for nonmagnetic Weyl semimetals with nonlinear optical response
• In-situ strain tuning of the Dirac surface states in Bi2Se3 films
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Dirac parameters and topological phase diagram of Pb1-xSnxSe from magneto-spectroscopy
• Two-dimensional topological materials discovery by symmetry-indicator method
• Pairing Obstructions in Topological Superconductors
• Evidence for nematic superconductivity of topological surface states in PbTaSe2
• Dependence of superconductivity in CuxBi2Se3 on quenching conditions
• Hourglass semimetals with nonsymmorphic symmetries in three dimensions
• New quantum critical points of $j=3/2$ Dirac electrons in antiperovskite topological crystalline insulators
• Exhaustive List of Topological Hourglass Band Crossings in 230 Space Groups
• Boundary Modes from Periodic Magnetic and Pseudomagnetic Fields in Graphene
• Spin-polarization control driven by a Rashba-type effect breaking the mirror symmetry in two-dimensional dual topological insulators
• Symmetry analysis of translational symmetry broken density waves: application to hexagonal lattices in two dimensions
• Axion coupling in the hybrid Wannier representation
• Smooth gauge and Wannier functions for topological band structures in arbitrary dimensions
• Emergence of Topologically Non-trivial Spin-polarized States in a Segmented Linear Chain
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquids
• Quantum many-body topology of quasicrystals
• Interaction effects on the classification of crystalline topological insulators and superconductors
• Unsupervised learning using topological data augmentation
• Tunable Dirac interface states in topological superlattices
• Mechanism, time-reversal symmetry and topology of superconductivity in noncentrosymmetric systems
• Experimental evidence for topological surface states wrapping around bulk SnTe crystal
• Designing 3D topological insulators by 2D-Xene (X = Ge, Sn) sheet functionalization in the GaGeTe-type structures
• Topological phase transition in a stretchable photonic crystal
• Faithful derivation of symmetry indicators: A case study for topological superconductors with time-reversal and inversion symmetries
• Observation of surface states on heavily indium doped SnTe(111), a superconducting topological crystalline insulator
• Quantum oscillations in metallic Sb2Te2Se topological insulator
• Flux-fusion anomaly test and bosonic topological crystalline insulators
• Electronic correlations in the van der Waals ferromagnet Fe${}_3$GeTe${}_2$ revealed by its charge dynamics
• Symmetry-enforced topological band crossings in orthorhombic crystals: Classification and materials discovery
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Floquet engineering of individual band gaps in an optical lattice using a two-tone drive
• Higher-Order Entanglement and Many-Body Invariants for Higher-Order Topological Phases
• Quantum oscillations in the non-centrosymmetric superconductor and topological nodal-line semimetal PbTaSe${}_2$
• Dimensional crossover and topological nature of the thin films of a three-dimensional topological insulator by band gap engineering
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Weak antilocalization effect due to topological surface states in Bi${}_2$Se${}_{2.1}$Te${}_{0.9}$
• Anisotropic magnetic responses of topological crystalline superconductors
• Observation of sub-kelvin superconductivity in Cd${}_3$As${}_2$ thin films
• Nearly triple nodal point topological phase in half-metallic GdN
• Calculated magnetic exchange interactions in Dirac magnon material Cu3TeO6
• Experimental Evidence of the Topological Surface States in Mg3Bi2 Films Grown by Molecular Beam Epitaxy
• Electronic properties of SnTe-class topological crystalline insulator materials
• Unexpected superconductivity at nanoscale junctions made on the topological crystalline insulator Pb${}_{0.6}$Sn${}_{0.4}$Te
• Single full gap with mixed type-I and type-II superconductivity on surface of the type-II Dirac semimetal PdTe2 by point-contact spectroscopy
• Symmetry-enforced Band Nodes in 230 Space Groups
• Fragility of surface states in topological superfluid ${}^3$He
• Proximity-induced superconductivity and quantum interference in topological crystalline insulator SnTe thin film devices
• Interacting Dirac fermions under spatially alternating pseudo-magnetic field: Realization of spontaneous quantum Hall effect
• Asymptotic behavior of impurity-induced bound states in low-dimensional topological superconductors
• Strain tuned topology in the Haldane and the modified Haldane models
• Generation of higher-order topological insulators using periodic driving
• Multiple band-crossings and Fermi surface topology: role of double nonsymmorphic symmetries in MnP-type crystal structures
• Dissipative topological systems
• Probing the superconducting gap structure in the noncentrosymmetric topological superconductor ZrRuAs
• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Perovskite ThTaN3: a Large Thermopower Topological Crystalline Insulator
• Tunable Magnonic Chern Bands and Chiral Spin Currents in Magnetic Multilayers
• Nematic Superconductivity in Cu1.5(PbSe)5(Bi2Se3)6
• Evolution of the topologically protected surface states in superconductor $\beta$-Bi${}_2$Pd from the three-dimensional to the two-dimensional limit
• High-Pressure Synthesis and Superconductivity of Ag-doped Topological Crystalline Insulator SnTe (Sn1-xAgxTe with x = 0-0.5)
• Ferroic Berry Curvature Dipole in a Topological Crystalline Insulator at Room Temperature
• Mirror-symmetry-protected dynamical quantum phase transitions in topological crystalline insulators
• Probing topology in nonlinear topological materials using numerical $K$-theory
• Possible Experimental Realization of a Basic Z2 Topological Semimetal
• Josephson Diode Effect in Topological Superconductor
• Topological Crystalline Insulators with $C_2$ Rotation Anomaly
• Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way
• Dual Topological Insulator Device with Disorder Robustness
• Time-reversal invariant and fully gapped unconventional superconducting state in the bulk of the topological Nb0.25Bi2Se3
• Quantum Valley Hall effect without Berry curvature
• Synthetic Flux Attachment
• Topological phases and Anderson localization in off-diagonal mosaic lattices
• Evidence for Unconventional Superconductivity and Nontrivial Topology in PdTe
• Observation of Ultrahigh Mobility Surface States in a Topological Crystalline Insulator by Infrared Spectroscopy
• Tailoring band-structure and band-filling in a simple cubic (IV, III) - VI superconductor
• Superconductivity, pairing symmetry, and disorder in the doped topological insulator Sn${}_{1-x}$In${}_x$Te for x $\ge$ 0.10
• Topological Crystalline Superconductivity in Dirac Semimetal Phase of Iron-based Superconductors
• Multiplicative topological phases
• Quantization of Topological Invariants under Symmetry-Breaking Disorder
• Majorana Zero-Modes in a Two-Dimensional $p$-Wave Superconductor
• Discovering two-dimensional magnetic topological insulators by machine learning
• New types of topological superconductors under local magnetic symmetries
• Topological Crystalline Magnets: Symmetry-Protected Topological Phases of Fermions
• Interplay between boundary conditions and Wilson's mass in Dirac-like Hamiltonians
• Surface Magnetism in Topological Crystalline Insulators
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Spin-singlet superconductivity in doped topological crystalline insulator Sn_{0.96}In_{0.04}Te
• Tight-binding Piezoelectric Theory and Electromechanical Coupling Correlations for Transition Metal Dichalcogenide Monolayers
• Topological corner modes in a brick lattice with nonsymmorphic symmetry
• Spin- and angle-resolved photoemission on the topological Kondo Insulator candidate: SmB6
• Probing the topological surface states in superconducting Sn4Au single crystal: A magneto transport study
• Novel topological insulators from crystalline symmetries
• Dynamically characterizing topological phases by high-order topological charges
• Topological interface states induced by incident angle in the 1D elastic wave system
• Twofold symmetry of proximity-induced superconductivity in Bi${}_2$Te${}_3$/Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ heterostructures revealed by scanning tunneling microscopy
• Ferromagnetic phase transition in topological crystalline insulator thin films: interplay of anomalous Hall angle and magnetic anisotropy
• Fragility of surface states in non-Wigner Dyson topological insulators
• Characterization and classification of interacting (2+1)D topological crystalline insulators with orientation-preserving wallpaper groups
• Anomalous Floquet topological crystalline insulators
• Majorana multipole response: General theory and application to wallpaper groups
• Surface field theories of point group symmetry protected topological phases
• Topological superconductor in quasi-one-dimensional Tl2-xMo6Se6
• Effective field theories of topological crystalline insulators and topological crystals
• Topological crystalline insulators from stacked graphene layers
• Glide-symmetric topological crystalline insulator phase in a nonprimitive lattice
• Topological nature of step edge states on the surface of topological crystalline insulator Pb${}_{0.7}$Sn${}_{0.3}$Se
• Twisted nodal wires and three-dimensional quantum spin Hall effect in distorted square-net compounds
• Topological Properties of SnSe/EuS and SnTe/CaTe Interfaces
• Topological phonon analysis of the 2D buckled honeycomb lattice: an application to real materials
• Topological Nonsymmorphic Ribbons out of Symmorphic Bulk
• Antisymmetry: Fundamentals and Applications
• Topological classification of intrinsic 3D superconductors using anomalous surface construction
• Transport Induced Dimer State from Topological Corner States
• Multicriticality in a one-dimensional topological band insulator
• Anyonic Topological Order in Twisted Equivariant Differential (TED) K-Theory
• Orbital shift-induced boundary obstructed topological materials with a large energy gap
• Observation of Weyl and Dirac fermions at smooth topological Volkov-Pankratov heterojunctions
• Large magnetoresistance and Fermi surface study of Sb${}_2$Se${}_2$Te single crystal
• Topological Edge and Corner States in Biphenylene Network
• Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry
• The FKMM-invariant in low dimension
• Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
• Structure, physical properties, and magnetically tunable topological phases in topological semimetal EuCuBi
• Solitonic in-gap modes in a superconductor-quantum antiferromagnet interface
• The effect of interorbital scattering on superconductivity in doped Dirac materials
• Anisotropic non-linear optical response of nodal loop materials
• Single branch of chiral Majorana modes from doubly degenerate Fermi surfaces
• Large spin to charge conversion in topological superconductor \b{eta}-PdBi2 at room temperature
• Proximity-Induced Mixed Odd and Even Frequency Pairings in Monolayer NbSe${}_2$
• Unusual phonon density of states and response to the superconducting transition in the In-doped topological crystalline insulator Pb${}_{0.5}$Sn${}_{0.5}$Te
• Quantum Criticalities with Infinite Anisotropy in Topological Phase Transitions between Dirac and Weyl Semi-metals
• Topologically distinct atomic insulators
• Network model for higher-order topological phases
• Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology
• Magnetic hourglass fermions: from exhaustive symmetry conditions to high-throughput materials predictions
• Linear Response in Topological Materials
• On the K-theoretic classification of dynamically stable systems
• Topological chiral currents in the Gross-Neveu model extension
• Uniaxial Strain Induced Topological Phase Transition in Bismuth-Tellurohalide-Graphene Heterostructures
• Time-reversal invariant finite-size topology
• Unconventional pressure dependence of the superfluid density in the nodeless topological superconductor $\alpha$-PdBi${}_2$
• Higher Chern numbers in multilayer ($\mathcal{N}\ge 2$) Lieb lattices: Topological transitions and quadratic band crossing lines
• Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Interaction effects in a 1D flat band at a topological crystalline step edge
• Photocurrent-driven transient symmetry breaking in the Weyl semimetal TaAs
• Observation of anisotropic Dirac cones in the topological material Ti2Te2P
• Localized surfaces of three dimensional topological insulators
• DFT2kp: effective kp models from ab-initio data
• Superconducting properties and gap structure of the topological superconductor candidate Ti_(3)Sb
• Visualization by scanning SQUID microscopy of the intermediate state in the superconducting Dirac semimetal PdTe${}_2$
• Transverse profile and 3D spin canting of a Majorana state in carbon nanotubes
• Discovery of Ĉ${}_2$ rotation anomaly in topological crystalline insulator SrPb
• Pseudo topological insulators
• Persistence of symmetry-protected Dirac points at the surface of the topological crystalline insulator SnTe upon impurity doping
• Wannier band transitions in disordered $\pi$-flux ladders
• Interaction between interface and massive states in multivalley topological heterostructures
• Electron-phonon coupling and superconductivity in the doped topological-crystalline insulator (Pb${}_{0.5}$Sn${}_{0.5}$)${}_{1-x}$In${}_x$Te
• Surface states in Dirac metals and topological crystalline insulators
• Spin-polarization of topological crystalline and normal insulator Pb${}_{1-x}$Sn${}_x$Se (111) epilayers probed by photoelectron spectroscopy
• Graphene with Rashba spin-orbit interaction and coupling to a magnetic layer: Electron states localized at the domain wall
• A modular point contact spectroscopy probe for sub-Kelvin applications
• Robust Bulk States
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Observability of superconductivity in Sr-doped Bi2Se3 at the surface using scanning tunneling microscope
• Miniband engineering and topological phase transitions in topological - normal insulator superlattices
• Structural Phase Transition and Carrier Density Tuning in SnSexTe1-x Nanoplates for Topological Crystalline Insulators
• Low temperature and high magnetic field performance of a commercial piezo-actuator probed $via$ laser interferometry
• Simulating Higher-Order Topological Insulators in Density Wave Insulators
• Stacking-Induced Symmetry-Protected Topological Phase Transitions
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
• Magnetic tilting and emergent Majorana spin connection in topological superconductors
• Enhanced left/right asymmetry in reflection and transmission due to a periodic multilayer of a topological insulator and an anisotropic dielectric material
• Evidence for conventional superconductivity in Sr0.1Bi2Se3 from high pressure studies
• Interfacial-state coupling induced topological phase transitions in SnTe (110) thin film
• Origin of Suppression of Proximity Induced Superconductivity in Bi/Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Heterostructure
• Nonlinearity and Topology
• 4D beyond-cohomology topological phase protected by $C_2$ symmetry and its boundary theories
• XFe4Ge2 (X = Y, Lu) and Mn3Pt: Filling-enforced magnetic topological metals
• Topological Critical Materials of Ternary Compounds
• Topology from Triviality
• Symmetry analysis of transport properties in helical superconductor junctions
• Quasi-localized Impurity State in Doped Topological Crystalline Insulator Sn${}_{0.9}$In${}_{0.1}$Te Probed by ${}^{125}$Te-NMR
• Bi Substitution Effects on Superconductivity of Valence-Skip superconductor AgSnSe2
• Distinct Floquet topological classifications from color-decorated frequency lattices with space-time symmetries
• Specific Heat and Electrical Transport Properties of Sn0.8Ag0.2Te Superconductor
• Nernst-Ettingshausen effect at the trivial-nontrivial band ordering in topological crystalline insulator Pb1-xSnxSe
• Tip-induced Superconductivity
• Superconductivity and weak anti-localization in nodal-line semimetal SnTaS_2
• Experimental and first-principles studies of superconductivity in topological nodal line semimetal SnTaS${}_2$
• Self-consistent study of topological superconductivity in two-dimensional quasicrystals
• Majorana-Weyl cones in ferroelectric superconductors
• Nontrivial gapless electronic states at the stacking faults of weak topological insulators
• Pressure induced topological quantum phase transition in Weyl semimetal T_d-MoTe_2
• Dual topological insulator with mirror symmetry protected helical edge states
• A coupled wire description of surface $ADE$ topological orders
• Topological Degeneracy Induced by Twisting
• Design of spin-orbital-textures in ferromagnetic/topological insulator interfaces
• Synthesizing Weyl semimetals in weak topological insulator and topological crystalline insulator multilayers
• Higher-order topological superconductor phases in a multilayer system
• Electronic Transport Studies of Ag-doped Bi2Se3 Topological Insulator
• Topological electronic structure of twin boundaries and twinning superlattices in the SnTe material class
• Kitaev Building-block Construction for Inversion-Protected Higher-order Topological Superconductors
• Emergence of Topological Superconductivity in Doped Topological Dirac Semimetals under Symmetry-Lowering Lattice Distortions
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Alloy theory with atomic resolution for Rashba or topological systems
• Josephson effect of superconductors with $J=3/2$ electrons
• Marginally localized edges of time-reversal symmetric topological superconductors
• Stability against contact interactions of a topological superconductor in two-dimensional space protected by time-reversal and reflection symmetries
• Electronic switching of topology in LaSbTe
• Strain-induced two-dimensional topological crystalline insulator
• Mirror Chern numbers in the hybrid Wannier representation
• Probing chiral symmetry with a topological domain wall sensor
• Quantized thermal and spin transports of dirty planar topological superconductors
• From orthosymplectic structure to super topological matter
• Enhanced zero-bias conductance peak and splitting at mesoscopic interfaces between an $s$-wave superconductor and a 3D Dirac semimetal
• Higher-order topology in honeycomb lattice with Y-Kekulé distortions
• Theory of surface spectroscopy for noncentrosymmetric superconductors
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Electric polarization and discrete shift from boundary and corner charge in crystalline Chern insulators
• Bilinear planar Hall effect in topological insulators due to spin-momentum locking inhomogeneity
• Boundary states in the chiral symmetric systems with a spatial symmetry
• Robust midgap states in band-inverted junctions under electric and magnetic fields
• Large surface conductance and two-dimensional superconductivity in microstructured crystalline topological insulators
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Hybrid symmetry class topological insulators
• Dynamical detection of mean-field topological phases in an interacting Chern insulator
• Signatures of surface Majorana modes in the magnetic response of topological superconductors
• Topologically protected states in $\delta$-doped junctions with band inversion
• Crystalline invariants of fractional Chern insulators
• Mapping rules from nodal line semimetal to topological crystalline insulator in face centered cubic lattice
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Symmetry-Protected Solitons and Bulk-Boundary Correspondence in Generalized Jackiw-Rebbi Models
• Enhancement of the Thermoelectric Figure of Merit in the Dirac Semimetal Cd${}_3$As${}_2$ by Band-Structure and -Filling Control
• Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case
• Correlated electrons in a Crystalline Topological insulator
• Topological Mott transition in a two band model of spinless fermions with on-site Coulomb repulsion
• Persistent current in 2D topological superconductors
• Artificial oxide heterostructures with non-trivial topology
• Interacting Crystalline Topological Insulators in two-dimensions with Time-Reversal Symmetry
• Realization of Hopf-link structure in phonon spectra: Symmetry guidance and High-throughput investigation
• Realizing tunable Fermi level in SnTe by defect control
• Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
• Optical and Raman selection rules for odd-parity clean superconductors
• Disclinations, dislocations, and emanant flux at Dirac criticality
• Surface chiral superconductivity in odd-parity nematic superconductors with magnetic impurities
• Engineering Helical Superconductors with Multiple Majorana Kramers Pairs via Higher-Order Rashba Spin-Orbit Coupling
• Theory of Topological Superconductivity in Doped IV-VI Semiconductors
• Efficient Berry Phase Calculation via Adaptive Variational Quantum Computing Approach
• Hikami-Larkin-Nagaoka (HLN) Fitting of Magneto Transport of Bi2Se3 Single Crystal in Different Magnetic Field Ranges
• SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the electron's EDM
• Spacetime symmetry indicators for two-dimensional Floquet topological insulators
• Unconventional superconductivity from electronic dipole fluctuations
• Anomalous behavior of the $E_u^1$ infrared-active phonon mode in a Bi${}_{2-x}$Sr${}_x$Se${}_3$ crystal
• Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry
• Crystalline finite-size topology
• Fermi surface topology and non-trivial Berry phase in the flat-band semimetal Pd${}_3$Pb
• A new light on the FKMM invariant and its consequences
• Superconductivity in the pressure-amorphized topological insulator CrP${}_4$
• Three-nodal surface phonons in solid-state materials: Theory and material realization
• Topological properties of domain walls in antiferromagnetic topological insulators
• Proximity-Induced Superconductivity in a Topological Crystalline Insulator
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Crystalline topological states at a topological insulator junction
• Topological Invariants of a Filling-Enforced Quantum Band Insulator
• The Non-collinear Path to Topological Superconductivity