Hydrodynamic theory of supersolids: Variational principle and effective Lagrangian

Details Hydrodynamic theory of supersolids: Variational principle and effective Lagrangian Hydrodynamic theory of supersolids: Variational principle and effective Lagrangian

2010-01-05

arxiv.org/abs/1001.0621v1

Phys. Rev. B 81, 134518 (2010)

Physics

Condensed Matter

Other Condensed Matter

12 pages, 2 figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.81.134518

We develop an effective low-energy, long-wavelength theory of a bulk supersolid--a putative phase of matter with simultaneous crystallinity and Bose condensation. Using conservation laws and general symmetry arguments we derive an effective action that correctly describes the coupling between the Bose condensation and the elasticity of the solid. We use our effective action to calculate the correlation and response functions for the supersolid, and we show that the onset of supersolidity produces peaks in the response function, corresponding to propagating second sound modes in the solid. Throughout our work we make connections to existing work on effective theories of superfluids and normal solids, and we underscore the importance of conservation laws and symmetries in determining the number and character of the collective modes.

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