The elastic constants of solid 4He under pressure: a diffusion Monte Carlo study
arXiv:1106.1520 · doi:10.1103/PhysRevB.85.024101
Abstract
We study the elasticity of perfect 4He at zero-temperature using the diffusion Monte Carlo method and a realistic semi-empirical pairwise potential to describe the He-He interactions. Specifically, we calculate the value of the elastic constants of hcp helium C_{ij} as a function of pressure up to 110 bar. It is found that the pressure dependence of all five non-zero C_{ij} is linear and we provide accurate parametrization of each of them. Our elastic constants results are compared to previous variational calculations and low-temperature measurements and in general notably good agreement is found among them. Furthermore, we report T = 0 results for the Gruneisen parameters, sound velocities and Debye temperature of hcp 4He. This work represents the first of a series of computational studies aimed at thoroughly characterizing the response of solid helium to external stress-strain.
21 pages, 7 figures
References in corpus (11)
- Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
- Bose-Einstein Quantum Statistics and the Ground State of Solid 4He
- Non-linear Elastic Response in Solid Helium: critical velocity or strain
- Supersolidity in quantum films adsorbed on graphene and graphite
- Comment on 'Molybdenum at High Pressure and Temperature: Melting from Another Solid Phase'
- Dislocation Mobility in a Quantum Crystal: the Case of Solid 4He
- Properties of Vacancy Formation in He-4 hcp Crystals at Zero Temperature and Fixed Pressure
- Atomic kinetic energy, momentum distribution and structure of solid neon at zero-temperature
- Two-dimensional molecular para-hydrogen and ortho-deuterium at zero temperature
- Ground-state properties and superfluidity of two- and quasi two-dimensional solid 4He
- Elastic constants of hcp He: Path-integral Monte Carlo results versus experiment