From Disordered Crystal to Glass: Exact Theory

Details From Disordered Crystal to Glass: Exact Theory From Disordered Crystal to Glass: Exact Theory

2001-02-16

arxiv.org/abs/cond-mat/0102309v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Submitted to Phys. Rev. Lett., 8 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 earlier Einstein- and Debye- approximations, there is a phase transition at $g_{c} = 1/2$. For $gg_{c}$, $C \sim T$. The van Hove singularities disappear at {\em any finite $g$}. 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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