Surface states around a vortex in topological superconductors: Intersection of a surface and a vortex

Abstract

We numerically show that the zero-energy Majorana surface states are suppressed around a vortex in the three-dimensional topological superconductors such as Cu${}_x$Bi${}_2$Se${}_3$ and Sn${}_{1-x}$In${}_x$Te. On the other hand, the zero-energy Majorana bound states along the vortex line are robust against cut by the surface. The suppression of the surface bound states is similar to that with a magnetic impurity on the surface of the topological insulator. The suppression of the surface-bound states around a vortex can be observed as the unconventional energy dependence of imaging of the scanning tunneling microscopy/spectroscopy.

arXiv comment4 pages, 4 figures, Accepted for publication in J. Phys. Soc. Jpn

References in corpus (32)

• Topological Insulators
• 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
• Topological Insulators in Three Dimensions
• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological invariants of time-reversal-invariant band structures
• Topological Crystalline Insulators in the SnTe Material Class
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Topological Superconductivity in CuxBi2Se3
• Magnetic impurities on the surface of a topological insulator
• Observation of topological order in a Superconducting doped topological insulator (based on the Bi2Se3 class)
• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Direct Evidence for the Dirac-Cone Topological Surface States in Ternary Chalcogenide TlBiSe2
• Local Measurements of the Superconducting Pairing Symmetry in CuxBi2Se3
• 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
• Direct mapping of the spin-filtered surface bands of a three-dimensional quantum spin Hall insulator
• Majorana Fermions and Non-Abelian Statistics in Three Dimensions
• Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity
• Unconventional superconductivity in CuxBi2Se3
• UPt${}_3$ as a Topological Crystalline Superconductor
• Vortex Charging Effect in a Chiral $p_x\pm i{p}_y$-Wave Superconductor
• Efficient Numerical Self-consistent Mean-field Approach for Fermionic Many-body Systems by Polynomial Expansion on Spectral Density
• Vortex structure in chiral p-wave superconductors
• Rotational Isotropy Breaking as Proof for Spin-polarized Cooper Pairs in the Topological Superconductor CuxBi2Se3
• Is a color superconductor topological?
• Spin-polarized Majorana Bound States inside a Vortex Core in Topological Superconductors
• Direct Numerical Demonstration of Sign-preserving Quasiparticle Interference via Impurity inside Vortex Core in Unconventional Superconductors

Cited by in corpus (1)

• Surface electronic state of superconducting topological crystalline insulator