From Disordered Crystal to Glass: Exact Theory

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

From Disordered Crystal to Glass: Exact Theory

Authors

Yanez, J. M.

Molina, M. I.

Mattis, D. C.

Description

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 $g<g_{c}$ 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 $g$}. For $g>1/2$ we discover novel {\em fixed points} in the self-energy and spectral density of this model glass.
Submitted to Phys. Rev. Lett., 8 pages, 4 figures