Majorana edge modes of superfluid 3He A-phase in a slab

Abstract

Motivated by a recent experiment on the superfluid 3He A-phase with a chiral p-wave pairing confined in a thin slab, we propose designing a concrete experimental setup for observing the Majorana edge modes that appear around the circumference edge region. We solve the quasi-classical Eilenberger equation, which is quantitatively reliable, to evaluate several observables. To derive the property inherent to the Majorana edge state, the full quantum mechanical Bogoliubov-de Gennes equation is solved in this setting. On the basis of the results obtained, we perform decisive experiments to check the Majorana nature.

5 pages, 5 figures

References in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance
• Surface Specific Heat of ${}^3$He and Andreev Bound States
• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices

Cited by in corpus (8)

• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Majorana surface states of superfluid 3He A- and B-phases in a slab
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Edge Current due to Majorana Fermions in Superfluid ${}^3$He A- and B-Phases
• Superfluid 3He in a restricted geometry with a perpendicular magnetic field
• Non-unitary triplet superconductivity tuned by field-controlled magnetization --URhGe, UCoGe and UTe${}_2$--
• Surface State Dissipation in Confined 3He-A
• The Heat Capacity of ${}^3$He-B in Silica Aerogel