Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-11-16
Phys. Rev. B 71, 184204 (2005)
Physics
Condensed Matter
Disordered Systems and Neural Networks
13 pages
Scientific paper
10.1103/PhysRevB.71.184204
We investigate analytically the low temperature behavior of the specific heat $C_v(T)$ for a large class of quantum disordered models within Mean Field approximation. This includes the vibrational modes of a lattice pinned by impurity disorder in the quantum regime, the quantum spherical $p$-spin-glass and a quantum Heisenberg spin glass. We exhibit a general mechanism, common to all these models, arising from the so-called marginality condition, responsible for the cancellation of the linear and quadratic contributions in $T$ in the specific heat. We thus find for all these models the Mean Field result $C_v(T) \propto T^3$.
Schehr Gregory
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