Specific heat of the quantum Bragg Glass

Details Specific heat of the quantum Bragg Glass Specific heat of the quantum Bragg Glass

2002-12-12

arxiv.org/abs/cond-mat/0212300v3

Europhys. Lett. 66 (2004) 538-544

Physics

Condensed Matter

5 pages, RevTex, strongly revised version

Scientific paper

10.1209/epl/i2003-10232-x

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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