Theory of the phase transition from a disordered cubic crystal to a glass

J. M. Yanez; M. I. Molina; D. C. Mattis

paper

Theory of the phase transition from a disordered cubic crystal to a glass

arXiv:cond-mat/0104400

Abstract

We calculate thermodynamic properties of a disordered model insulator, starting from the ideal simple-cubic lattice ( $g = 0$ ) and increasing the disorder parameter $g$ to $≫ 1/2$ . As in the earlier Einstein- and Debye- approximations, the ground state energy is discontinuous at $g_{c} = 1/2$ . For $g < g_{c}$ the low-T heat-capacity $C \sim T^{3}$ whereas for $g > g_{c}$ , $C \sim T$ . The van Hove singularities disappear at {\em any} finite magnitude $g$ of the disorder. For $g > 1/2$ we discover novel {\em fixed points} in the self-energy and spectral density of this model glass.

arXiv commentsubmitted to PRL (9 pages, 4 figures)