The fate and heir of Majorana zero modes in a quantum wire array

Abstract

Experimental signatures of Majorana zero modes in a single superconducting quantum wire with spin-orbit coupling have been reported as zero bias peaks in the tunneling spectroscopy. We study whether these zero modes can persist in an array of coupled wires, and if not, what their remnant could be. The bulk exhibits topologically distinct gapped phases and an intervening gapless phase. Even though the bulk pairing structure is topological, the interaction between Majorana zero modes and superfluid phases leads to spontaneous time-reversal symmetry breaking. Consequently, edge supercurrent loops emerge and edge Majorana fermions are in general gapped out except when the number of chains is odd, in which case one Majorana fermion survives.

6 pages, 4 figures

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• Flat Majorana bands in 2-d lattices with inhomogeneous magnetic fields: topology and stability
• Odd frequency pairing of interacting Majorana fermions
• On the bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors
• Full proximity treatment of topological superconductors in Josephson-junction architectures
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Bimodal conductance distribution of Kitaev edge modes in topological superconductors
• Topologically protected charge transfer along the edge of a chiral $\text{p}$-wave superconductor
• Formation of Majorana fermions in finite-size graphene strips
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
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• Majoranas with and without a 'character': hybridization, braiding and Majorana number
• Majorana Doublets, Flat Bands, and Dirac Nodes in s-Wave Superfluids
• Majorana fermions in quasi-1D and higher dimensional ultracold fermionic optical lattices
• Quantum Phase Transitions in Proximitized Josephson Junctions
• Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
• 1D topological chains with Majorana fermions in 2D non-topological optical lattices
• Quantized Thermal Hall Conductance and the Topological Phase Diagram of a Superconducting Bismuth Bilayer
• Polarity of the fermionic condensation in the $p$-wave Kitaev model on a square lattice
• Impurity strength-temperature phase diagram with phase crystals and competing time-reversal symmetry breaking states in nodal $d$-wave superconductors