Path Integral Monte Carlo calculation of momentum distribution in solid \^4\He

Abstract

We perform calculations of the momentum distribution n(k) in solid \^4\He by means of path integral Monte Carlo methods. We see that, in perfect crystal, n(k) does not depend on temperature T and that is different from the classical Gaussian shape of Maxwell-Boltzmann distribution, even though these discrepancies decrease when the density of the system increases. In crystal presenting vacancies, we see that for T \ge 0.75K, n(k) presents the same behavior as in the perfect crystal, but, at lower T, it presents a peak when k\to0.

8 pages, 5 figures

References in corpus (8)

• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Disorder and the Supersolid State of Solid ${}^4$He
• Oscillation Frequency Dependence of Non-Classical Rotation Inertia of Solid ${}^4$He
• Ring exchanges and the supersolid phase of 4He
• Observation of non-classical rotational inertia in bulk solid 4He
• Bose-Einstein Quantum Statistics and the Ground State of Solid 4He
• Bose Einstein Condensation of incommensurate solid 4He
• Bose-Einstein Condensate in Solid Helium

Cited by in corpus (8)

• Supersolids: what and where are they ?
• Simulation and understanding of quantum crystals
• Bose-Einstein Condensation in liquid ${}^4$He near the liquid-solid transition line
• Path-integral Monte Carlo worm algorithm for Bose systems with periodic boundary conditions
• Onset temperature of Bose-Einstein condensation in incommensurate solid 4He
• Condensate fraction in liquid 4He at zero temperature
• A microscopic description of vacancies in solid 4He
• Combining Harmonic Sampling with the Worm Algorithm to Improve the Efficiency of Path Integral Monte Carlo