A Wave Function Describing Superfluidity in a Perfect Crystal

Details A Wave Function Describing Superfluidity in a Perfect Crystal A Wave Function Describing Superfluidity in a Perfect Crystal

2005-01-13

arxiv.org/abs/cond-mat/0501309v4

J. Stat. Mech. (2005) P07003

Physics

Condensed Matter

Statistical Mechanics

final version to be published in Journal of Statistical Mechanics: Theory and Experiment

Scientific paper

10.1088/1742-5468/2005/07/P07003

We propose a many-body wave function that exhibits both diagonal and off-diagonal long-range order. Incorporating short-range correlations due to interatomic repulsion, this wave function is shown to allow condensation of zero-point lattice vibrations and phase rigidity. In the presence of an external velocity field, such a perfect crystal will develop non-classical rotational inertia, exhibiting the supersolid behavior. In a sample calculation we show that the superfluid fraction in this state can be as large as of order 0.01 in a reasonable range of microscopic parameters. The relevance to the recent experimental evidence of a supersolid state by Chan and Kim is discussed.

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