Orbital angular momentum in a nonchiral topological superconductor

Abstract

We investigate the bulk orbital angular momentum in a two-dimensional time-reversal broken topological superconductor with the Rashba spin-orbit interaction, the Zeeman interaction, and the $s$-wave pairing potential. Prior to the topological phase transition, we find the crossover from $s$ wave to $p$ wave. For the large spin-orbit interaction, even in the topological phase, $L_z/N$ does not reach $-1/2$, which is the intrinsic value in chiral $p$-wave superconductors. Here $L_z$ and $N$ are the bulk orbital angular momentum and the total number of electrons at zero temperature, respectively. Finally, we discuss the effects of nonmagnetic impurities.

arXiv comment7 pages, 5 figures, 1 table

References in corpus (30)

• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana fermions in a tunable semiconductor device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Chiral Topological Superconductor From the Quantum Hall State
• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
• Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids
• Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance
• Vanishing edge currents in non-$p$-wave topological chiral superconductors
• Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids
• Universal impurity-induced bound state in topological superfluids
• Vortex structures and zero energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases
• Abelian Chern-Simons Term in Superfluid 3He-A
• Edge mass current and roles of Majorana Fermions in superfluid 3He A-phase
• Orbital momentum of chiral superfluids and spectral asymmetry of edge states
• Bulk angular momentum and Hall viscosity in chiral superconductors
• Impurity effects in a two-dimensional topological superconductor: A link of Tc-robustness with a topological number
• Topological s-wave pairing superconductivity with spatial inhomogeneity: Mid-gap-state appearance and robustness of superconductivity

Cited by in corpus (10)

• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Probing topological superconductors with emergent gravity
• Manifestation of chirality in the vortex lattice in a two-dimensional topological superconductor
• Self-consistent study of Abelian and non-Abelian order in a two-dimensional topological superconductor
• Ground state angular momentum, spectral asymmetry, and topology in chiral superfluids and superconductors
• Critical Temperature Enhancement of Topological Superconductors: A Dynamical Mean Field Study
• Robust zero-energy bound states around a pair-density-wave vortex core in locally noncentrosymmetric superconductors
• Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases
• Geometric and computational aspects of chiral topological quantum matter
• Orbital angular momentum in a topological superconductor with Chern number higher than $1$