Spontaneous breaking of time-reversal symmetry in topological superconductors

Abstract

We study the behavior of spinless fermions in superconducting state, in which the phases of the superconducting order parameter depend on the direction of the link. We find that the energy of the superconductor depends on the phase differences of the superconducting order parameter. The solutions for the phases corresponding to the energy minimuma, lead to a topological superconducting state with the nontrivial Chern numbers. We focus our quantitative analysis on the properties of topological states of superconductors with different crystalline symmetry and show that the phase transition in the topological superconducting state is result of spontaneous breaking of time-reversal symmetry in the superconducting state. The peculiarities in the chiral gapless edge modes behavior are studied, the Chern numbers are calculated.

10 pages, 7 figures

References in corpus (6)

• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Axion topological field theory of topological superconductors
• Topological indices, defects and Majorana fermion in chiral superconductors
• Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
• Bimodal conductance distribution of Kitaev edge modes in topological superconductors
• Spontaneous breaking of time-reversal symmetry in topological insulators

Cited by in corpus (7)

• Mott transition in two-band fermion model with on-site Coulomb repulsion
• Electron liquid state in the symmetric Anderson lattice
• Edge modes in the Hofstadter model of interacting electrons
• Chern insulator with large Chern numbers. Chiral Majorana fermion liquid
• The quantum Hall effect at a weak magnetic field
• Topological Phase Transition in Superconductors with Mirror Symmetry
• Electron pairing in the Hubbard model as a result of on-site repulsion fluctuations