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Specific heat of the quantum Bragg Glass

Gregory Schehr·Thierry Giamarchi·Pierre Le Doussal
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Abstract

We study the thermodynamics of the vibrational modes of a lattice pinned by impurity disorder in the absence of topological defects (Bragg glass phase). Using a replica variational method we compute the specific heat $C_v$ in the quantum regime and find $C_v \propto T^3$ at low temperatures in dimension three and two. The prefactor is controlled by the pinning length. The non trivial cancellation of the linear term in $C_v$ arises from the so-called marginality condition and has important consequences for other mean field models.

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Gregory Schehr, Thierry Giamarchi, Pierre Le Doussal. 2003-06-18. Specific heat of the quantum Bragg Glass. https://doi.org/10.1209/epl%2Fi2003-10232-x

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