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

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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.

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Authors and Affiliations

  1. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    Jung-Jung Su, Matthias J. Graf & Alexander V. Balatsky

  2. Center for Integrated Nanotechnology, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    Alexander V. Balatsky

Authors
  1. Jung-Jung Su
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  2. Matthias J. Graf
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  3. Alexander V. Balatsky
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Correspondence to Jung-Jung Su.

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Su, JJ., Graf, M.J. & Balatsky, A.V. A Glassy Contribution to the Heat Capacity of hcp 4He Solids. J Low Temp Phys 159, 431–440 (2010). https://doi.org/10.1007/s10909-010-0163-x

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  • DOI: https://doi.org/10.1007/s10909-010-0163-x

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