Path Integral Calculations of exchange in solid 4He

Details Path Integral Calculations of exchange in solid 4He Path Integral Calculations of exchange in solid 4He

2005-02-20

arxiv.org/abs/cond-mat/0502486v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1016/j.jpcs.2005.05.033

Recently there have been experimental indications that solid 4He might be a supersolid. We discuss the relation of supersolid behavior to ring exchange. The tunnelling frequencies for ring exchanges in quantum solids are calculated using Path Integral Monte Carlo by finding the free energy for making a path that begins with the atoms in one configuration and ends with a permutation of those positions. We find that the exchange frequencies in solid 4He are described by a simple lattice model which does not show supersolid behavior. Thus, the PIMC calculations constrain the mechanism for the supersolid behavior. We also look at the characteristics of very long exchanges needed for macroscopic mass transport.

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