Effective Lagrangian and Topological Interactions in Supersolids

2005/01/31 by D. Son, D. T. Son · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.other #hep-ph

paper · pdf · doi:10.1103/physrevlett.94.175301

published as Phys.Rev.Lett. 94 (2005) 175301 · 10 pages, 1 figure; one reference added

arxiv created 2005/05/04 · openalex publication_date 2005/05/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a low-energy effective Lagrangian describing zero temperature supersolids. Galilean invariance imposes strict constraints on the form of the effective Lagrangian. We identify a topological term in the Lagrangian that couples superfluid and crystalline modes. For small superfluid fractions, this interaction term is dominant in problems involving defects. As an illustration, we compute the differential cross section of scatterings of low-energy transverse elastic phonons by a superfluid vortex. The result is model independent.

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