Specific heat of the quantum Bragg Glass

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.

arXiv comment5 pages, RevTex, strongly revised version

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Cited by in corpus (5)

• Impact of jamming criticality on low-temperature anomalies in structural glasses
• Low-temperature properties of some disordered systems from the statistical properties of nearly degenerate two-level excitations
• Energy relaxation in disordered charge and spin density waves
• Two-level systems and harmonic excitations in a mean-field anharmonic quantum glass
• Specific Heat of Quantum Elastic Systems Pinned by Disorder