Topological Phase Transition in Superconductors with Mirror Symmetry

Abstract

We provide analytical and numerical evidence that the attractive two-dimensional Kitaev model on a lattice with mirror symmetry demonstrates unusual 'intrinsic' phase at half filling. This phase emerges in the phase diagram at the boundary separating two topological superconductors with opposite Chern numbers and exists due to condensation of non-zero momentum Cooper pairs. Unlike Fulde-Ferrell-Larkin-Ovchinnikov superconductivity, the Cooper pairs momenta are lying along two lines in the Brillouin zone meaning simultaneous condensation of a continuum of Cooper pairs.

arXiv comment6 pages, 5 figures

References in corpus (14)

• Unpaired Majorana fermions in quantum wires
• Conventional superconductivity at 203 K at high pressures
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Spectroscopy of H${}_3$S: evidence of a new energy scale for superconductivity
• Nodeless pairing in superconducting copper-oxide monolayer films on Bi2Sr2CaCu2O8+δ
• p-wave triggered superconductivity in single layer graphene on an electron-doped oxide superconductor
• Fully gapped $d$-wave superconductivity in CeCu${}_2$Si${}_2$
• The c-axis transport in naturally-grown Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ cross-whisker junctions
• Atomic Scale Imaging and Spectroscopy of a CuO_2 Plane at the Surface of Bi_2Sr_2CaCu_2O_{8+delta}
• Full-gap superconductivity robust against disorder in heavy-fermion CeCu2Si2
• $d$-wave superconducting gap observed in protect-annealed electron-doped cuprate superconductors Pr${}_{1.3-x}$La${}_{0.7}$Ce${}_x$CuO${}_4$
• Spontaneous breaking of time-reversal symmetry in topological superconductors
• Triplet FFLO Superconductivity in the doped Kitaev-Heisenberg Honeycomb Model

Cited by in corpus (1)

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