Thermodynamics of an incommensurate quantum crystal

Details Thermodynamics of an incommensurate quantum crystal Thermodynamics of an incommensurate quantum crystal

2005-07-27

arxiv.org/abs/cond-mat/0507654v3

Science 310, 1164-1166 (2005).

Physics

Condensed Matter

Materials Science

revised, new title, somewhat expanded

Scientific paper

10.1126/science.1118625

We present a simple theory of the thermodynamics of an incommensurate quantum solid. The ground state of the solid is assumed to be an incommensurate crystal, with quantum zero-point vacancies and interstitials and thus a non-integer number of atoms per unit cell. We show that the low temperature variation of the net vacancy concentration should be as $T^4$, and that the first correction to the specific heat due to this varies as $T^7$; these are quite consistent with experiments on solid $^4$He. We also make some observations about the recent experimental reports of ``supersolidity'' in solid $^4$He that motivate a renewed interest in quantum crystals.

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