# Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors

### Submission summary

 As Contributors: Henrik Røising Arxiv Link: https://arxiv.org/abs/1901.09933v1 Date submitted: 2019-02-06 Submitted by: Røising, Henrik Submitted to: SciPost Physics Domain(s): Theor. & Comp. Subject area: Quantum Physics

### Abstract

We study Majorana fermions bound to vortex cores in a chiral $p$-wave superconductor at temperatures non-negligible compared to the superconducting gap. Thermal occupation of Caroli de Gennes-Matricon states, below the full gap, causes the free energy difference between the two fermionic parity sectors to decay algebraically with increasing temperature. The power law acquires an additional factor of $T^{-1}$ for each bound state thermally excited. The zero-temperature result is exponentially recovered well below the minigap (lowest-lying CdGM level). Our results suggest that temperatures larger than the minigap may not be disastrous for topological quantum computation.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1901.09933v1 (6 February 2019)