Majorana surface states of superfluid 3He A- and B-phases in a slab

Abstract

Motivated by experiments on the superfluid 3He confined in a thin slab, we design a concrete experimental setup for observing the Majorana surface states. We solve the quasi-classical Eilenberger equation, which is quantitatively reliable, to evaluate several quantities, such as local density of states (LDOS), mass current for the A-phase, and spin current for the B-phase. In connection with realistic slab samples, we consider the upper and lower surfaces and the side edges including the corners with several thicknesses. Consequently the influence on the Majorana zero modes from the spatial variation of l-vector for the A-phase in thick slabs and the energy splitting of the zero-energy quasi-particles for the B-phase confined in thin slabs are demonstrated. The corner of slabs in the B-phase is accompanied by the unique zero-energy LDOS of corner modes. On the basis of the quantitative calculation, we propose several feasible and verifiable experiments to check the existence of the Majorana surface states, such as the measurement of specific heat, edge current, and anisotropic spin susceptibility.

13 pages, 10 figures, published version

References in corpus (11)

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• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
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• Crystalline order in superfluid 3He films
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Cited by in corpus (15)

• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Topological Fermi arcs in superfluid ${}^3$He
• 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${}_2$--
• Theory of tunneling spectroscopy for chiral topological superconductors
• Symmetry protected vortex bound state in superfluid ${}^3$He B-phase
• Surface Majorana fermions and bulk collective modes in superfluid 3He-B
• Odd-Parity Quasiparticle Interference in the Superconductive Surface State of UTe2
• Path-Dependent Supercooling of the ${}^3$He Superfluid A-B transition
• Locally gauge-invariant spin response of ${}^3$He-$B$ films with Majorana surface states
• Surface Bound States and Spontaneous Current in Cyclic d-Wave Superconductors
• Visualizing the Odd-parity Superconducting Order Parameter and its Quasiparticle Surface Band in UTe2