Signatures of surface Majorana modes in the magnetic response of topological superconductors

Abstract

We study the magnetic susceptibility of a two-dimensional cone of Majorana modes localised at the surface of a three-dimensional time-reversal invariant topological superconductor belonging to class DIII. A field parallel to the surface tilts the surface Majorana cone along the supercurrent direction. For fields larger than a critical threshold field $H^{\ast }$, $H>H^{\ast }$, a transition from type I to type II Dirac cone occurs and a finite current carried by the Majorana modes start to flow, leading to an additional diamagnetic contribution to the surface magnetization. On a curved surface interband transitions are promoted by the Majorana spin connection that couples to the external field, giving rise to a finite frequency magnetic susceptibility.

7 pages: 5 main text, 2 Supp. Mat, 2 figures

References in corpus (8)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Classification of topological insulators and superconductors in three spatial dimensions
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Spin connection and boundary states in a topological insulator
• Magnetic tilting and emergent Majorana spin connection in topological superconductors

Cited by in corpus (3)

• Power-law Temperature Dependence of the Penetration Depth in a Topological Superconductor due to Surface States
• Topological multiband s-wave superconductivity in coupled multifold fermions
• Surface chiral superconductivity in odd-parity nematic superconductors with magnetic impurities