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A Wave Function Describing Superfluidity in a Perfect Crystal

Hui Zhai·Yong-Shi Wu
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Abstract

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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Hui Zhai, Yong-Shi Wu. 2005-06-26. A Wave Function Describing Superfluidity in a Perfect Crystal. https://doi.org/10.1088/1742-5468%2F2005%2F07%2Fp07003

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