Surface spectral function in the superconducting state of a topological insulator

Abstract

We discuss the surface spectral function of superconductors realized from a topological insulator, such as the copper-intercalated Bi${}_2$Se${}_3$. These functions are calculated by projecting bulk states to the surface for two different models proposed previously for the topological insulator. Dependence of the surface spectra on the symmetry of the bulk pairing order parameter is discussed with particular emphasis on the odd-parity pairing. Exotic spectra like an Andreev bound state connected to the topological surface states are presented.

12 pages, 9 figures, 1 table

References in corpus (39)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators in Three Dimensions
• 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 invariants of time-reversal-invariant band structures
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• The quantum spin Hall effect and topological insulators
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Model Hamiltonian for Topological Insulators
• Majorana Fermion Induced Resonant Andreev Reflection
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Topological Superconductivity and Superfluidity
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• Probing Neutral Majorana Fermion Edge Modes with Charge Transport
• Oscillatory crossover from two dimensional to three dimensional topological insulators
• STM imaging of electronic waves on the surface of Bi${}_2$Te${}_3$: topologically protected surface states and hexagonal warping effects
• Dynamical Axion Field in Topological Magnetic Insulators
• Observation of topological order in a Superconducting doped topological insulator (based on the Bi2Se3 class)
• Unconventional superconductivity on a topological insulator
• Effective continuous model for surface states and thin films of three dimensional topological insulators
• Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
• Topological odd-parity superconductors
• Robustness of Majorana fermions in 2D topological superconductors
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Theoretical Prediction of Topological Insulators in Thallium-based III-V-VI${}_2$ Ternary Chalcogenides
• Oscillatory angular dependence of the magnetoresistance in a topological insulator Bi_{1-x}Sb_{x}
• Superconductivity on the surface of topological insulators and in two-dimensional noncentrosymmetric materials
• Electronic structure near an impurity and terrace on the surface of a 3-dimensional topological insulator

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• Topological Insulator Materials
• Topological superconductors: a review
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• Topological Superconductivity in CuxBi2Se3
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Topology of crystalline insulators and superconductors
• Majorana Fermions and Topology in Superconductors
• Dirac and Weyl Superconductors in Three Dimensions
• Topological superconductivity in bilayer Rashba system
• Odd-Parity Pairing and Topological Superconductivity in a Strongly Spin-Orbit Coupled Semiconductor
• Superconducting Topological Surface States in Non-centrosymmetric Bulk Superconductor PbTaSe2
• Majorana Fermions and Exotic Surface Andreev Bound States in Topological Superconductors: Application to CuxBi2Se3
• Unusual nature of fully-gapped superconductivity in In-doped SnTe
• Tunneling Conductance and Surface States Transition in Superconducting Topological Insulators
• Proximity-induced unconventional superconductivity in topological insulators
• Experimental Observation of Topological Superconductivity and Majorana Zero Modes on beta-Bi2Pd Thin Films
• Proximity induced superconductivity by Bi in topological $B{i}_{2}T{e}_{2}Se$ and $B{i}_{2}S{e}_3$ films: Evidence for a robust zero energy bound state possibly due to Majorana Fermions
• Identification of nematic superconductivity from the upper critical field
• Superconductivity in doped Dirac semimetals
• Evidence of nodes in the order parameter of the superconducting doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ via penetration depth measurements
• Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators
• Bulk electronic state of superconducting topological insulator
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Models of Superconducting Cu:Bi2Se3: single versus two-band description
• Superconducting doped topological materials
• Rotational Isotropy Breaking as Proof for Spin-polarized Cooper Pairs in the Topological Superconductor CuxBi2Se3
• Anomalous suppression of the superfluid density in the CuxBi2Se3 superconductor upon progressive Cu intercalation
• Inter-orbital topological superconductivity in spin-orbit coupled superconductors with inversion symmetry breaking
• Paramagnetically induced gapful topological superconductors
• Surface electronic state of superconducting topological crystalline insulator
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Non-fragile superconductivity with nodes in the superconducting topological insulator CuxBi2Se3: Zeeman orbital field and non-magnetic impurities
• Signatures of Topological Superconductivity in Bulk Insulating Topological Insulator BiSbTe${}_{1.25}$Se${}_{1.75}$ in Proximity with Superconducting NbSe${}_2$
• Spin-polarized Majorana Bound States inside a Vortex Core in Topological Superconductors
• Zero energy bound states in tunneling conductance spectra at the interface of an s-wave superconductor and a topological insulator in NbN-$B{i}_{2}S{e}_3$-Au thin film junctions
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Non-magnetic impurity effects in a three-dimensional topological superconductor: From p- to s-wave behaviors
• Chiral Higgs Mode in Nematic Superconductors
• Magnetically robust topological edge states and flat bands
• Quasi-classical theory of tunneling spectroscopy in superconducting topological insulator
• Tunneling magnetoresistance devices based on topological insulators: Ferromagnet/insulator/topological-insulator junctions employing Bi${}_2$Se${}_3$
• Anomalous Josephson current in superconducting topological insulator
• Theory of tunneling spectroscopy for chiral topological superconductors
• Novel anisotropic spin singlet pairings in Cu${}_x$Bi${}_2$Se${}_3$ and Bi${}_2$Te${}_3$
• Quasiclassical Treatment and Odd-parity/Triplet Correspondence in Topological Superconductors
• Surface states and local spin susceptibility in doped three-dimensional topological insulators with odd-parity superconducting pairing symmetry
• Nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$: The surface Andreev bound states
• Topological Phase Transitions and a Two-Dimensional Weyl Superconductor in a Half-Metal/Superconductor Heterostructure
• Topological insulator ribbon: Surface states and dynamical response
• Thermoelectric detection of Andreev states in unconventional superconductors
• Searching for two-dimensional Weyl superconductors in heterostructures
• Field-angle-dependent low-energy excitations around a vortex in the superconducting topological insulator CuxBi2Se3
• Effective low energy theory for surface Andreev bound states of superconducting phases in generalized Bernevig-Hughes-Zhang models
• Appearance of flat surface bands in three-dimensional topological insulators in a ferromagnetic exchange field
• Edge superconducting state in attractive U Kane-Mele-Hubbard model
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Surface Spectral Function of Momentum-dependent Pairing Potentials in a Topological Insulator: Application to Cu${}_x$Bi${}_2$Se${}_3$
• Visualizing Pairing Symmetry in Nematic Superconductors using spin-polarized spectroscopy of magnetic impurities
• Two-dimensional flat band on the (011) surface of UTe${}_2$: Implication for STM measurements with a superconducting tip
• Magnetic torque oscillations from warped helical surface states in topological insulators
• Possible two-component pairings in electron-doped Bi${}_2$Se${}_3$ based on a tight-binding model
• Theory of tunneling spectroscopy in a superconducting topological insulator
• Theoretical investigation of the applicability of the Meservey-Tedrow technique to the surface states of topological insulators
• Superconducting Gap Structures in Wallpaper Fermion Systems
• Determination of Out-of-plane Spin Polarization of Topological Surface States by Spin Hall Effect Tunneling Spectroscopy
• Double-twisted surface spectrum from hybridized Majorana Kramers pairs and wallpaper fermions
• Theory of low-energy behaviors in topological $s$-wave pairing superconductors