Hard domain walls in superfluid 3He-B

Abstract

We study theoretically planar interfaces between two domains of superfluid 3He-B. The structure of the B-B walls is determined on the scale of the superfluid condensation energy, and thus the domain walls have thickness on the order of the Ginzburg-Landau coherence length. We study the stability and decay schemes of five inequivalent structures of such domain walls using one-dimensional Ginzburg-Landau simulation. We find that only one of the structures is stable against small perturbations. We also argue that B-B interfaces could result from adiabatic A to B transition and study textures at B-B interfaces. The B-B interface has a strong orienting effect on spin-orbit rotation producing textures similar as caused by external walls. We study the B-B interface in a parallel-plate geometry and find that the conservation of spin current sets an essential condition on the structure. The stable B-B interface gives rise to half-quantum circulation.

arXiv comment14 pages, 10 figures, updated to the published version including one more figure, discussion of excitation spectrum, more references and some clarifications

References in corpus (8)

• Crystalline order in superfluid 3He films
• Majorana Excitations, Spin- and Mass Currents on the Surface of 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
• Pinhole calculations of the Josephson effect in 3He-B
• Domain Walls in Superfluid 3He-B
• Calculation of NMR Properties of Solitons in Superfluid 3He-A

Cited by in corpus (13)

• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Half-quantum vortices and walls bounded by strings in the polar-distorted phases of topological superfluid ${}^3$He
• Anderson's considerations on the flow of superfluid helium: some offshoots
• Evidence for a Spatially-Modulated Superfluid Phase of ${}^3$He under Confinement
• Stabilized Pair Density Wave via Nanoscale Confinement of Superfluid ${}^3$He
• Andreev Bound States in Superconducting Films and Confined Superfluid He-3
• Triangular pair density wave in confined superfluid ${}^3$He
• A-B transition in superfluid ${}^3$He and cosmological phase transitions
• Weyl Fermions and Broken Symmetry Phases of Laterally Confined ${}^3$He Films
• Vortex-bound solitons in topological superfluid ${}^3$He
• Strong-coupling corrections to hard domain walls in superfluid 3He-B
• Superfluid phase transition of nanoscale-confined helium-3
• Vortex-mediated relaxation of magnon BEC into light Higgs quasiparticles