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Journal of Low Temperature Physics

, Volume 159, Issue 3–4, pp 431–440 | Cite as

A Glassy Contribution to the Heat Capacity of hcp 4He Solids

  • Jung-Jung Su
  • Matthias J. Graf
  • Alexander V. Balatsky
Article

Abstract

We model the low-temperature specific heat of solid 4He in the hexagonal closed packed structure by invoking two-level tunneling states in addition to the usual phonon contribution of a Debye crystal for temperatures far below the Debye temperature, T<Θ D /50. By introducing a cutoff energy in the two-level tunneling density of states, we can describe the excess specific heat observed in solid hcp 4He, as well as the low-temperature linear term in the specific heat. Agreement is found with recent measurements of the temperature behavior of both specific heat and pressure. These results suggest the presence of a very small fraction, at the parts-per-million (ppm) level, of two-level tunneling systems in solid 4He, irrespective of the existence of supersolidity.

Keywords

Solid 4He Glass Supersolid Quantum phase transition 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Jung-Jung Su
    • 1
  • Matthias J. Graf
    • 1
  • Alexander V. Balatsky
    • 1
    • 2
  1. 1.Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA
  2. 2.Center for Integrated NanotechnologyLos Alamos National LaboratoryLos AlamosUSA

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