通过自发的Z₂(f)对称性破缺在超导体上的磁链中实现拓扑简并（马约拉纳零模）和1 + 1维费米子拓扑序。

Topological degeneracy (Majorana zero-mode) and 1 + 1D fermionic topological order in a magnetic chain on superconductor via spontaneous Z₂(f) symmetry breaking.

作者信息

Klassen Joel, Wen Xiao-Gang

机构信息

Department of Physics, University of Guelph, 50 Stone Road East, Guelph, Ontario, Canada. Institute for Quantum Computing, 200 University Avenue West, Waterloo, Ontario, Canada.

出版信息

J Phys Condens Matter. 2015 Oct 14;27(40):405601. doi: 10.1088/0953-8984/27/40/405601. Epub 2015 Sep 24.

DOI:10.1088/0953-8984/27/40/405601

PMID:26401725

Abstract

We study a chain of ferromagnetic sites, ie nano-particles, molecules or atoms, on a substrate of fully gapped superconductors. We find that under quite realistic conditions, the fermion-number-parity symmetry Z₂(f) can spontaneously break. In other words, such a chain can realize a 1 + 1D fermionic topologically ordered state and the corresponding two-fold topological degeneracy on an open chain. Such a topological degeneracy becomes the so called Majorana zero mode in the non-interacting limit.

摘要

我们研究了完全能隙超导体衬底上的铁磁位点链，即纳米粒子、分子或原子。我们发现，在相当现实的条件下，费米子数宇称对称性(Z₂(f))会自发破缺。换句话说，这样的链可以在开放链上实现一维加一维的费米子拓扑有序态以及相应的两重拓扑简并。在非相互作用极限下，这种拓扑简并就变成了所谓的马约拉纳零模。