Specific heat of the quantum Bragg glassG. Schehr1, T. Giamarchi2 and P. Le Doussal1
1 LPTENS CNRS UMR 8549 - 24 rue Lhomond, 75231 Paris Cedex 05, France
2 DPMC, University of Geneva - 24 quai Ernest-Ansermet CH-1211 Geneva, Switzerland
(Received 28 November 2003; accepted 2 March 2004)
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 Cv in the quantum regime and find 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 Cv arises from the so-called marginality condition and has important consequences for other mean-field models.
65.60.+a - Thermal properties of amorphous solids and glasses: heat capacity, thermal expansion, etc.
63.50.+x - Vibrational states in disordered systems.
78.55.Qr - Amorphous materials; glasses and other disordered solids.
© EDP Sciences 2004