## Abstract

The Debye-Waller factor and the mean-squared displacement from lattice sites for solid ^{3}He and ^{4}He were calculated with path-integral Monte Carlo at temperatures between 5 and 35 K, and densities between 38 and 67 nm^{-3}. It was found that the mean-squared displacement exhibits finite-size scaling consistent with a crossover between the quantum and classical limits of N^{-2/3} and N^{-1/3}, respectively. The temperature dependence appears to be T^{3}, different than expected from harmonic theory. An anisotropic k^{4} term was also observed in the Debye-Waller factor, indicating the presence of non-Gaussian corrections to the density distribution around lattice sites. Our results, extrapolated to the thermodynamic limit, agree well with recent values from scattering experiments.

Original language | English (US) |
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Pages (from-to) | 12094-12100 |

Number of pages | 7 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 61 |

Issue number | 18 |

DOIs | |

State | Published - 2000 |

## ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics