Effect of thermal fluctuations in topological p-wave superconductors

Abstract

We study the effect of thermal fluctuations on the topological stability of chiral p-wave superconductors. We consider two models of superconductors: spinless and spinful with a focus on topological properties and Majorana zero-energy modes. We show that proliferation of vortex-antivortex pairs above the Kosterlitz-Thouless temperature T_KT drives the transition from a thermal Quantum Hall insulator to a thermal metal/insulator, and dramatically modifies the ground-state degeneracy splitting. Therefore, in order to utilize 2D chiral p-wave superconductors for topological quantum computing, the temperature should be much smaller than T_KT. Within the spinful chiral p-wave model, we also investigate the interplay between half-quantum vortices carrying Majorana zero-energy modes and full-quantum vortices having trivial topological charge, and discuss topological properties of half-quantum vortices in the background of proliferating full-quantum vortices.

arXiv comment7 pages, 9 figures, to appear in PRB

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• Perturbed vortex lattices and the stability of nucleated topological phases
• Majorana bands, Berry curvature, and thermal Hall conductivity in the vortex state of a chiral p-wave superconductor
• Fluctuation and strain effects in a chiral $p$-wave superconductor
• Kitaev spin models from topological nanowire networks
• Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
• Surface Majorana fermions and bulk collective modes in superfluid 3He-B
• Induced topological order at the boundary of 3D topological superconductors
• Enhancing the Thermal Stability of Majorana Fermions with Redundancy Using Dipoles in Optical Lattices