2001/02/16 by J. M. Yanez, Yanez, J. M., M. I. Molina +3
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0102309
Submitted to Phys. Rev. Lett., 8 pages, 4 figures
arxiv created 2001/02/16 · arxiv updated 2009/11/30
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 earlier Einstein- and Debye- approximations, there is a phase transition at gc = 1/2. For g<gc the low-T heat-capacity C ∼ T3 whereas for g>gc, C ∼ 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.