Majorana bound state in rotating superfluid 3He-A between parallel plates

Abstract

A concrete and experimentally feasible example for testing the putative Majorana zero energy state bound in a vortex is theoretically proposed for a parallel plate geometry of superfluid ${}^3$He-A phase. We examine the experimental setup in connection with ongoing rotating cryostat experiments. The theoretical analysis is based on the well-established Ginzburg--Landau functional, supplemented by microscopic calculations of the Bogoliubov--de Gennes equation, both of which allow the precise location of the parameter regions of the Majorana state to be found in realistic situations.

5 pages, 4 figures

References in corpus (7)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Fermion zero modes on vortices in chiral superconductors
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors
• Vortex Charging Effect in a Chiral $p_x\pm i{p}_y$-Wave Superconductor
• Unconventional Vortices and Phase Transitions in Rapidly Rotating Superfluid ^{3}He

Cited by in corpus (31)

• Majorana fermions in a tunable semiconductor device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Unconventional superconductivity on a topological insulator
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Projective non-Abelian Statistics of Dislocation Defects in a Z_N Rotor Model
• Majorana Fermions in Nodal Superconductors: Gapless Topological Phase
• Tunneling of anyonic Majorana excitations in topological superconductors
• Majorana fermions of a two-dimensional Px+iPy superconductor
• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Tilting of the magnetic field in Majorana nanowires: critical angle and zero-energy differential conductance
• Edge mass current and roles of Majorana Fermions in superfluid 3He A-phase
• Braiding and fusion of non-Abelian vortex anyons
• Stability of half quantum vortex in rotating superfluid 3He-A between parallel plates
• Finite Temperature Casimir Effect for Massless Majorana Fermions in a Magnetic Field
• Zero Energy Modes and Statistics of Vortices in Spinful Chiral p-Wave Superfluids
• Slab Bag Fermionic Casimir effect, Chiral Boundaries and Vector Boson - Majorana Fermion Pistons
• Geometric Induction in Chiral Superfluids
• The Casimir effect for parallel plates involving massless Majorana fermions at finite temperature
• Singular and Half-Quantum Vortices and Associated Majorana Particles in Superfluid 3He-A between Parallel Plates
• Spontaneous mass current and textures of p-wave superfluids of trapped Fermionic atom gases at rest and under rotation
• Vortices in p-Wave Superfluids of Trapped Fermionic Atom Gases
• Singular Vortex in Narrow Cylinders of Superfluid 3He-A Phase
• Dominant Majorana bound energy and critical current enhancement in ferromagnetic-superconducting topological insulator
• Stability of the singular vortex and associated Majorana zero modes in trapped p-wave resonant superfluids of neutral cold atoms
• Chiral Majorana edge states in the vortex core of a $p+ip$ Fermi superfluid
• A New Non-Abelian Topological Phase of Cold Fermi Gases in Anisotropic and Spin-Dependent Optical Lattices
• Majorana modes in a triple-terminal Josephson junction with embedded parallel-coupled double quantum dots
• 3D Non-Abelian Anyons: Degeneracy Splitting and Detection by Adiabatic Cooling
• Topological superfluid of spinless Fermi gases in p-band honeycomb optical lattices with on-site rotation