Debye-Waller factor in solid 3He and 4He

E. W. Draeger, D. M. Ceperley

Research output: Contribution to journalArticlepeer-review


The Debye-Waller factor and the mean-squared displacement from lattice sites for solid 3He and 4He 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 T3, different than expected from harmonic theory. An anisotropic k4 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 languageEnglish (US)
Pages (from-to)12094-12100
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number18
StatePublished - 2000

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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