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

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

2001-04-20

arxiv.org/abs/cond-mat/0104400v1

Physics

Condensed Matter

Statistical Mechanics

submitted to PRL (9 pages, 4 figures)

Scientific paper

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 $\gg 1/2$. As in the earlier Einstein- and Debye- approximations, the ground state energy is discontinuous at $g_{c} = 1/2$. For $gg_{c}$, $C \sim T$. 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.

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