Spontaneous time-reversal symmetry breaking in the boundary Majorana flat bands

Abstract

We study the boundary Majorana modes for the single component p-wave weak topological superconductors or superfluids, which form zero energy flat bands protected by time-reversal symmetry in the orbital channel. However, due to the divergence of density of states, the band flatness of the edge Majorana modes is unstable under spontaneously generated spatial variations of Cooper pairing phases. Staggered current loops appear near the boundary and thus time-reversal symmetry is spontaneously broken in the orbital channel. This effect can appear in both condensed matter and ultra-cold atom systems.

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• Topological Superconducting Phases of Weakly Coupled Quantum Wires
• Momentum-space structure of surface states in a topological semimetal with a nexus point of Dirac lines
• Majorana Fermions and Multiple Topological Phase Transition in Kitaev Ladder Topological Superconductors
• The fate and heir of Majorana zero modes in a quantum wire array
• Majorana surface modes of nodal topological pairings in spin-$\frac{3}{2}$ semi-metals
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Stability of flat-band edge states in topological superconductors without inversion center
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Kitaev spin models from topological nanowire networks
• Spontaneous particle-hole symmetry breaking of correlated fermions on the Lieb lattice
• Majorana Kramers pair in a nematic vortex
• Majorana Doublets, Flat Bands, and Dirac Nodes in s-Wave Superfluids
• Edge instabilities of topological superconductors
• Single branch of chiral Majorana modes from doubly degenerate Fermi surfaces
• Collective amplitude mode fluctuations in a flat band superconductor
• Orbital-Active Dirac Materials from the Symmetry Principle
• 1D topological chains with Majorana fermions in 2D non-topological optical lattices
• Embedded Majorana Islands
• Impurity strength-temperature phase diagram with phase crystals and competing time-reversal symmetry breaking states in nodal $d$-wave superconductors