Surface electronic state of superconducting topological crystalline insulator

Abstract

We study the surface state of a doped topological crystalline insulator in the superconducting state. Motivated by Sn${}_{1-x}$In${}_x$Te, we consider fully gapped pair potentials and calculate the surface spectral function. It is found that mirror-protected zero-energy Andreev bound states appear at the (001) surface and that these states can move along the mirror symmetric line on the surface Brillouin zone. We also show that the surface Andreev bound state changes systematically with doping due to the presence of the Dirac surface state in the normal state.

8 pages, 8 figures

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• Topology of nonsymmorphic crystalline insulators and superconductors
• Superconductivity in doped Dirac semimetals
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Majorana multipole response of topological superconductors
• Proximity-induced superconductivity and quantum interference in topological crystalline insulator SnTe thin film devices
• Tailoring band-structure and band-filling in a simple cubic (IV, III) - VI superconductor
• Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
• Spin-singlet superconductivity in doped topological crystalline insulator Sn_{0.96}In_{0.04}Te
• Majorana multipole response: General theory and application to wallpaper groups
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Thermoelectric detection of Andreev states in unconventional superconductors
• Magnetic Response of Majorana Kramers Pairs Protected by Z2 Invariants
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• Electric Multipoles of Double Majorana Kramers Pairs
• Molecular beam epitaxy of superconducting Sn${}_{1-x}$In${}_x$Te thin films
• Quasi-localized Impurity State in Doped Topological Crystalline Insulator Sn${}_{0.9}$In${}_{0.1}$Te Probed by ${}^{125}$Te-NMR
• Representation-protected topology of spin-singlet $s$-wave superconductors
• Theory of Topological Superconductivity in Doped IV-VI Semiconductors
• Superconducting Gap Structures in Wallpaper Fermion Systems
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Double-twisted surface spectrum from hybridized Majorana Kramers pairs and wallpaper fermions
• Proximity-Induced Superconductivity in a Topological Crystalline Insulator