Self-consistent study of Abelian and non-Abelian order in a two-dimensional topological superconductor

Abstract

We perform self-consistent studies of two-dimensional (2D) $s$-wave topological superconductivity (TSC) with Rashba spin-orbit coupling and Zeeman field by solving the Bogoliubov-de Gennes equations. In particular, we examine the effects of a nonmagnetic impurity in detail and show that the nature of the spin-polarised midgap bound state varies significantly depending on the material parameters. Most notably, a nonmagnetic impurity in a 2D $s$-wave topological superconductor can act like a magnetic impurity in a conventional $s$-wave superconductor, leading to phase transitions of the ground state as the impurity potential is varied. Furthermore, by solving for the spin-dependent Hartree potential self-consistently along with the superconducting order parameter, we demonstrate that topological charge density waves can coexist with TSC at half filling just as in a conventional $s$-wave superconductor.

11 pages, 11 figures

References in corpus (31)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• 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
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• The Kernel Polynomial Method
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Fermi surface nesting and the origin of Charge Density Waves in metals
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Controlling many-body states by the electric-field effect in a two-dimensional material
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Observation of half-height magnetization steps in Sr2RuO4
• Two energy gaps and Fermi surface 'arcs' in NbSe2
• Direct Evidence for the Dirac-Cone Topological Surface States in Ternary Chalcogenide TlBiSe2
• Proximity effect at the superconductor - topological insulator interface
• Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials
• Electrochemical synthesis and superconducting phase diagram of Cu_xBi2Se3
• Topological superconductivity and unconventional pairing in oxide interfaces
• Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity
• Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors
• Universal impurity-induced bound state in topological superfluids
• Discovery of several large families of Topological Insulator classes with backscattering-suppressed spin-polarized single-Dirac-cone on the surface
• Orbital angular momentum in a nonchiral topological superconductor
• Electronic structure and spontaneous internal field around non-magnetic impurities in spin-triplet chiral p-wave superconductors
• Topological s-wave pairing superconductivity with spatial inhomogeneity: Mid-gap-state appearance and robustness of superconductivity

Cited by in corpus (4)

• Yu-Shiba-Rusinov states of impurities in a triangular lattice of NbSe${}_2$ with spin orbit coupling
• Ultracold atoms in a square lattice with spin-orbit coupling: Charge order, superfluidity, and topological signatures
• Self-consistent study of topological superconductivity in two-dimensional quasicrystals
• Gapless superconductivity and its real-space topology in quasicrystals