Effects of Quenched Randomness on Classical and Quantum Phase Transitions
Statistical Mechanics
2010-06-02 v1 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Quantum Physics
Abstract
This dissertation describes the effect of quenched randomness on first order phase transitions in lattice systems, classical and quantum. It is proven that a large class of quantum lattice systems in low dimension (d <= 2 or, with suitable continuous symmetry, d <= 4) cannot exhibit first-order phase transitions in the presence of suitable ("direct") quenched disorder.
Keywords
Cite
@article{arxiv.1006.0151,
title = {Effects of Quenched Randomness on Classical and Quantum Phase Transitions},
author = {Rafael L. Greenblatt},
journal= {arXiv preprint arXiv:1006.0151},
year = {2010}
}
Comments
100 pages LaTeX (with included style files), 3 EPS figures. Doctoral dissertation