Abstract
Elastic constants for hcp 4He are investigated at zero temperature, from close to the melting pressure up to 14 MPa approximately. Well known relations of these quantities are used to analyze the results. A reliable model wave function is used in the calculations. We show that the linear compressibility has a non-isotropic character in a range of densities rather than the expected isotropic behavior. A fact that suggests that the relation among elastic constants that depends on a constant value of the structure parameters ratio c/a for hcp quantum crystals should not be used to extract an elastic constant from experimental data.
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Acknowledgements
We thank Norbert Mulders for comments on an earlier draft of the manuscript and valuable suggestions. The authors acknowledge financial support from the Brazilian agencies FAPESP, CNPq and CAPES. Part of the computations were performed at the CENAPAD high-performance computing facility at Universidade Estadual de Campinas and at the laboratory of scientific computation of Universidade Federal de Goiás.
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Pessoa, R., de Koning, M. & Vitiello, S.A. Elastic Anomalies of Crystalline 4He at T=0. J Low Temp Phys 173, 143–151 (2013). https://doi.org/10.1007/s10909-013-0886-6
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DOI: https://doi.org/10.1007/s10909-013-0886-6