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Journal of Low Temperature Physics

, Volume 187, Issue 5–6, pp 468–474 | Cite as

Hexagonal Close-Packed \(^4\hbox {He}\) as Crystalline Multilayered Polytype: An Alternative for ‘Supersolid’ or ‘Glassy-Like’ Phase

  • K. A. Chishko
  • T. N. Antsygina
  • M. I. Poltavskaya
Article

Abstract

We apply the model of a crystalline polytype built of close-packed 2D monoatomic basal planes with triangular lattice to interpret the anomalous thermodynamical and mechanical properties of solid hexagonal close-packed (HCP) \(^4\hbox {He}\). The polytype is a 3D stack of the basal planes, and its structure can be built from the simplest periodic packing (HCP, FCC, 4H, 5H, 6R, \(\ldots \) etc.) up to random stacking fault system (RSFS) totally aperiodic in only c-direction perpendicular to the basal planes. RSFS is a crystal without microscopic translation symmetry along c-axis, i.e., entirely disordered in only one spatial direction. Despite of packing disorder, c-direction remains the crystallographic axis of third order at arbitrary sequence of the 2D plates in the whole stack. In a long-wave limit the HCP polytype can be treated as 3D anisotropic continuum, as a result its phonon spectrum and Helmholtz free energy have been calculated. The temperature dependence of the phonon pressure is calculated theoretically and compared with experimental data. A quantitative agreement between the theory and the experiment is achieved. Mechanical properties of \(^4\hbox {He}\) crystals in the framework of the polytype model are briefly discussed.

Keywords

Solid helium Chaotic (random) stacking faults Phonon pressure 

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  • K. A. Chishko
    • 1
  • T. N. Antsygina
    • 1
  • M. I. Poltavskaya
    • 1
  1. 1.B.Verkin Institute for Low Temperature Physics and EngineeringKharkivUkraine

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