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.

arXiv comment5 pages, 5 figures

References in corpus (18)

• Non-Abelian Anyons and Topological Quantum Computation
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Topological Superconductivity and Superfluidity
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Unconventional superconductivity on a topological insulator
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Detecting the Majorana fermion surface state of ${}^3$He-B through spin relaxation
• Spontaneous Hall effect in chiral p-wave superconductor
• Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance
• Strong Anisotropy in Spin Suceptibility of Superfluid 3He-B Film Caused by Surface Bound States
• Vortices in chiral, spin-triplet superconductors and superfluids
• Local density of states in the vortex lattice in a type II superconductor
• The effect of nonmagnetic impurities on the local density of states in s-wave superconductors
• Vortex structures and zero energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases
• 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
• Field dependence of the vortex structure in chiral p-wave superconductors
• Singular and Half-Quantum Vortices and Associated Majorana Particles in Superfluid 3He-A between Parallel Plates

Cited by in corpus (17)

• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Weyl and Dirac semimetals with Z_2 topological charge
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Majorana surface states of superfluid 3He A- and B-phases in a slab
• A Spin Triplet Superconductor UPt${}_3$
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Edge Current due to Majorana Fermions in Superfluid ${}^3$He A- and B-Phases
• Edge mass current and roles of Majorana Fermions in superfluid 3He A-phase
• Superfluid 3He in a restricted geometry with a perpendicular magnetic field
• Non-unitary triplet superconductivity tuned by field-controlled magnetization --URhGe, UCoGe and UTe${}_2$--
• Mirror Majorana zero modes in spinful superconductors/superfluids -Non-Abelian braiding of integer quantum vortices-
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Zero Energy Modes and Statistics of Vortices in Spinful Chiral p-Wave Superfluids
• Surface State Dissipation in Confined 3He-A
• Directly Detecting the Edge Current in a $p_x+i{p}_y$ Topological Superfluid
• The Heat Capacity of ${}^3$He-B in Silica Aerogel