Quasi-classical theory of tunneling spectroscopy in superconducting topological insulator

Abstract

We develop a theory of tunneling spectroscopy in superconducting topological insulator (STI), i.e. superconducting state of a carrier-doped topological insulator. Based on the quasi-classical approximation, we obtain an analytical expression of the energy dispersion of surface Andreev bound states (ABSs) and a compact formula for tunneling conductance of normal metal/STI junctions. The obtained compact formula of tunneling conductance makes the analysis of experimental data easy. As an application of our theory, we study tunneling conductance in Cu${}_x$Bi${}_2$Se${}_3$. We reveal that our theory reproduces the previous results by Yamakage {\it et al} [Phys. Rev. B 85, 180509(R) (2012)]. We further study magneto-tunneling spectroscopy in the presence of external magnetic fields, where the energy of quasiparticles is shifted by the Doppler effect. By rotating magnetic fields in the basal plane, we can distinguish between two different topological superconducting states with and without point nodes, in their magneto-tunneling spectra.

12 pages, 14 figures

References in corpus (17)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Theory of the proximity effect in junctions with unconventional superconductors
• Topological spin-current in non-centrosymmetric superconductors
• Local Measurements of the Superconducting Pairing Symmetry in CuxBi2Se3
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• Surface spectral function in the superconducting state of a topological insulator
• Anomalous Josephson current in superconducting topological insulator
• Surface states and local spin susceptibility in doped three-dimensional topological insulators with odd-parity superconducting pairing symmetry

Cited by in corpus (19)

• Topological superconductors: a review
• Majorana Fermions and Topology in Superconductors
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Unconventional Superconductivity at Mesoscopic Point-contacts on the 3-Dimensional Dirac Semi-metal Cd${}_3$As${}_2$
• Crossed surface flat bands of Weyl semimetal superconductors
• Superconductivity in doped Dirac semimetals
• Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators
• Conductance spectroscopy of topological superconductor wire junctions
• Superconducting doped topological materials
• Surface electronic state of superconducting topological crystalline insulator
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Effect of Fermi surface evolution on superconducting gap in superconducting topological insulator
• Novel anisotropic spin singlet pairings in Cu${}_x$Bi${}_2$Se${}_3$ and Bi${}_2$Te${}_3$
• Nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$: The surface Andreev bound states
• Boundary-Induced Topological and Mid-Gap States in Charge Conserving One-Dimensional Superconductors
• Effective low energy theory for surface Andreev bound states of superconducting phases in generalized Bernevig-Hughes-Zhang models
• Tip-induced Superconductivity
• Possible two-component pairings in electron-doped Bi${}_2$Se${}_3$ based on a tight-binding model
• Theory of Tunneling Effect in 1D AIII-class Topological Insulator (Nanowire) Proximity Coupled with a Superconductor