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Lifshitz Transition in the Double-Core Vortex in ^{3}He-B.

M A Silaev1, E V Thuneberg2, M Fogelström3

  • 1Department of Theoretical Physics, KTH-Royal Institute of Technology, SE-10691 Stockholm, Sweden.

Physical Review Letters
|December 20, 2015
PubMed
Summary
This summary is machine-generated.

We found anomalous fermion states in p-wave superfluids, leading to a Lifshitz transition. This explains the slow rotational mode observed in superfluid Helium-3 B.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Fluids

Background:

  • P-wave superfluids host unique fermionic states within vortex cores.
  • Understanding these states is crucial for explaining exotic phenomena in quantum systems.

Purpose of the Study:

  • To investigate the low-energy spectrum of fermion states in a weak-coupling p-wave superfluid vortex core.
  • To explore the impact of Fermi liquid interactions on vortex structure and fermion behavior.
  • To apply these findings to explain experimental observations in superfluid Helium-3 B.

Main Methods:

  • Theoretical analysis of the fermion state spectrum.
  • Modeling the influence of Fermi liquid interactions on vortex core structure.
  • Connecting theoretical predictions to experimental data on superfluid dynamics.

Main Results:

  • Identified two anomalous low-energy fermion branches in the vortex core.
  • Observed a large density of states at half-vortex core locations.
  • Demonstrated that Fermi liquid interactions induce a Lifshitz transition in the vortex core fermion Fermi surface.
  • Provided a theoretical explanation for the slow rotational mode in superfluid Helium-3 B.

Conclusions:

  • The study elucidates the complex behavior of fermion states in p-wave superfluid vortices.
  • The findings offer a mechanism for the observed slow mode in superfluid Helium-3 B, linking vortex structure to fermionic properties.