Nambu-Goldstone modes propagating along topological defects: Kelvin and ripple modes from small to large systems

Daisuke A. Takahashi, Michikazu Kobayashi, Muneto Nitta

Research output: Contribution to journalArticle

14 Citations (Scopus)


Nambu-Goldstone modes associated with (topological) defects such as vortices and domain walls in (super)fluids are known to possess quadratic/noninteger dispersion relations in finite/infinite-size systems. Here, we report interpolating formulas connecting the dispersion relations in finite- and infinite-size systems for Kelvin modes along a quantum vortex and ripplons on a domain wall in superfluids. Our method can provide not only the dispersion relations but also the explicit forms of quasiparticle wave functions (u,v). We find a complete agreement between the analytical formulas and numerical simulations. All these formulas are derived in a fully analytical way, and hence not empirical ones. We also discuss common structures in the derivation of these formulas and speculate on the general procedure.

Original languageEnglish
Article number184501
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number18
Publication statusPublished - 2015 May 4


ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

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