Majorana Zero-Modes in a Two-Dimensional $p$-Wave Superconductor

Abstract

We analyze the formation of Majorana zero-modes at the edge of a two-dimensional topological superconductor. In particular, we study a time-reversal-invariant triplet phase that is likely to exist in doped Bi${}_2$Se${}_3$. Upon the introduction of an in-plane magnetic field to the superconductor, a gap is opened in the surface modes, which induces localized Majorana modes. The position of these modes can be simply manipulated by changing the orientation of the applied field, yielding novel methods for braiding these states with possible applications to topological quantum computation.

18 pages, 15 figures; updated discussion on projected Hamiltonian and added a table of realistic parameters

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Cited by in corpus (13)

• Majorana bound states in semiconducting nanostructures
• Topological phase transitions in multi-component superconductors
• Geometry -- dependent effects in Majorana nanowires
• Bulk superconductivity and non-trivial band topology analysis of Pb2Pd
• Directly probing the chirality of Majorana edge states
• Majorana corner pairs in a two-dimensional $s$-wave cold atomic superfluid
• Higher-order topological superconductors characterized by Fermi level crossings
• Effects of spin orbit coupling on proximity induced superconductivity
• Perfectly localized Majorana corner modes in fermionic lattices
• Rotating Majorana Zero Modes in a disk geometry
• Quantifying the non-Abelian property of Andreev bound states in inhomogeneous Majorana nanowires
• Majorana bound states with chiral magnetic textures
• Monte Carlo studies of modified scalable designs for quantum computation