Single branch of chiral Majorana modes from doubly degenerate Fermi surfaces

Abstract

Majorana fermions are often proposed to be realized by first singling out one Fermi surface without spin degeneracy via spin-orbit coupling, and then imposing boundaries or defects. In this work, we take a different route starting with two degenerate Fermi surfaces without spin-orbit coupling, and show that by the method of "kink on boundary", the dispersive chiral Majorana fermions can be realized in superconducting systems with $p\pm is$ pairings. The surfaces of these systems develop spontaneous magnetizations whose directions are determined by the boundary orientations and the phase difference between the $p$ and $s$-component gap functions. Along the magnetic domain walls on the surface, there exist chiral Majorana fermions propagating unidirectionally, which can be conveniently dragged and controlled by external magnetic fields. Furthermore, the surface magnetization is shown to be a magnetoelectric effect based on a Ginzburg-Landau free energy analysis. We also discuss how to use the proximity effects to realize chiral Majorana fermions by performing the "kink on boundary" method.

19 pages, 10 figures

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Cited by in corpus (10)

• Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing
• Quantum-geometry-induced anapole superconductivity
• Signature of PT-symmetric non-Hermitian superconductivity in angle-resolved photoelectron fluctuation spectroscopy
• Superconducting Diode Effect in Multiphase Superconductors
• High-order Time-Reversal Symmetry Breaking Normal State
• Spontaneous magnetization in unitary superconductors with time reversal symmetry breaking
• Degeneracy between even- and odd-parity superconductivity in the quasi-1D Hubbard model and implications for Sr2RuO4
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Planar magnetic texture on the surface of a topological insulator
• Many-body wave function and edge magnetization of an open $p+is$ superconducting chain