title: Lifshitz Transition in the Double-Core Vortex in ^{3}He-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 generate a large density of states at the locations of the half cores of the vortex. Fermi liquid interactions significantly stretch the vortex structure, which leads to a Lifshitz transition in the effective Fermi surface of the vortex core fermions. We apply the results to the rotational dynamics of vortices in superfluid ^{3}He-B and find an explanation for the observed slow mode.
authors.affiliation: Department of Theoretical Physics, KTH-Royal Institute of Technology, SE-10691 Stockholm, Sweden.
authors.forename: M A
authors.initials: MA
authors.lastname: Silaev
authors.affiliation: Department of Physics, University of Oulu, FI-90014 Oulu, Finland.
authors.forename: E V
authors.initials: EV
authors.lastname: Thuneberg
authors.affiliation: Department of Microtechnology and Nanoscience, Chalmers, SE-41296 Göteborg, Sweden.
authors.forename: M
authors.initials: M
authors.lastname: Fogelström