Effective lagrangian and topological interactions in supersolids

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 fractio...

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Bibliographic Details
Published in:Physical review letters 2005-05, Vol.94 (17), p.175301.1-175301.4, Article 175301
Main Author: SON, D. T
Format: Article
Language:English
Subjects:
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Condensed matter: structure, mechanical and thermal properties
DIFFERENTIAL CROSS SECTIONS
Exact sciences and technology
LAGRANGIAN FUNCTION
Other topics in quantum fluids and solids
liquid and solid helium
PHONONS
Physics
Quantum fluids and solids
liquid and solid helium
SCATTERING
SOLIDS
SUPERFLUIDITY
TOPOLOGY
VORTICES
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.94.175301