Majorana states and longitudinal NMR absorption in ${}^3$He-B film

Abstract

The topological superfluid ${}^3$He-B supports massless Dirac spectrum of surface bound states which can be described in terms of the self-conjugated Majorana field operators. We discuss here the possible signature of surface bound states in nuclear magnetic resonance absorption spectrum in a ${}^3$He-B film. It is shown that transitions between different branches of the surface states spectrum lead to the non-zero absorption signal in longitudinal NMR scheme when the frequency is larger than the Larmour one.

References in corpus (8)

• Detecting the Majorana fermion surface state of ${}^3$He-B through spin relaxation
• Fermion zero modes at the boundary of superfluid 3He-B
• Topological invariant for superfluid 3He-B and quantum phase transitions
• Strong Anisotropy in Spin Suceptibility of Superfluid 3He-B Film Caused by Surface Bound States
• Majorana surface states of superfluid 3He A- and B-phases in a slab
• Surface Specific Heat of ${}^3$He and Andreev Bound States
• Anomalous Attenuation of Transverse Sound in 3He
• Flow of hypermagnetic helicity in the embryo of a new phase in the electroweak phase transition

Cited by in corpus (12)

• Topology of crystalline insulators and superconductors
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Superfluid 3He in a restricted geometry with a perpendicular magnetic field
• Anisotropic magnetic responses of topological crystalline superconductors
• Review: Observation of Majorana Bound States at a Free Surface of ${}^3$He-B
• Locally gauge-invariant spin response of ${}^3$He-$B$ films with Majorana surface states
• NMR-like effect on Anisotropic Magnetic Moment of Surface Bound States in Topological Superfluid ${}^3$He-B
• Subgap in the surface bound states spectrum of Superfluid ${}^3$He-B with Rough Surface
• Quasiclassical theory of spin dynamics in superfluid ${}^3$He: kinetic equations in the bulk and spin response of surface Majorana states
• Shrinking of fluctuation region in a two-band superconductor