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

Daisuke A. Takahashi, Michikazu Kobayashi, Muneto Nitta

研究成果: Article査読

17 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号184501
ジャーナルPhysical Review B - Condensed Matter and Materials Physics
91
18
DOI
出版ステータスPublished - 2015 5 4

ASJC Scopus subject areas

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学

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