Lifshitz transition in the double-core vortex in 3He-B

Abstract

We study the spectrum of fermion states localized within the vortex core of a weak-coupling p-wave superfluid. The low energy spectrum consists of two anomalous branches that cross the Fermi level as functions of the impact parameter, and generate large density of states at the locations of the half cores of the vortex. Fermi liquid interactions significantly change the vortex structure, which leads to Lifshitz transition in the effective Fermi surface of the vortex core fermions. We apply the results to revise the interpretation of an experiment on rotational dynamics of vortices in superfluid 3He-B.

11 pages, 6 figures, updated to the published version

References in corpus (4)

• Topological superfluid ${}^3$He-B: fermion zero modes on interfaces and in the vortex core
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Specific heat and low-lying excitations in the mixed state for a type II superconductor
• Symmetry protected vortex bound state in superfluid ${}^3$He B-phase

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• Phases of Attractive Fermi Gases in Synthetic Dimensions
• The Vortex Phase Diagram of Rotating Superfluid ${}^3$He-B
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• Mutual friction in superfluid ${}^3$He-B in the low-temperature regime
• Interaction-driven Lifshitz transition with dipolar fermions in optical lattices
• Topology of chiral superfluid: skyrmions, Weyl fermions and chiral anomaly
• Half-Quantum Vortex Pair in Polar-distorted B Phase of Superfluid 3He in Aerogels
• Skyrmions formation due to unconventional magnetic modes in anisotropic multi-band superconductors
• Modelling of vorticity, sound and their interaction in two-dimensional superfluids
• SuperConga: an open-source framework for mesoscopic superconductivity
• One dimensional nexus objects, network of Kibble-Lazarides-Shafi string walls, and their spin dynamic response in polar distorted B-phase of ${}^3$He
• Effects of a magnetic field on vortex states in superfluid ${}^3$He-B
• Spin wave radiation from vortices in ${}^3$He-B
• Observation of Persistent Zero Modes and Superconducting Vortex Doublets in UTe${}_2$
• Vortex-mediated relaxation of magnon BEC into light Higgs quasiparticles
• Calculation of Leggett-Takagi relaxation in vortices of superfluid 3He-B
• Effect of Dipole Energy on Half-Quantum Vortex in Superfluid Polar Phase
• Emergence of Non-Axisymmetric Vortex in Strong-Coupling Chiral p-Wave Superconductor
• Condensation of fermion zero modes in the vortex in nodal superfluids/superconductors
• Is the diagonal part of the self-energy negligible within an isolated vortex in weak-coupling superconductors?