A unifying model for several two-dimensional phase transitions
Mesoscale and Nanoscale Physics
2009-11-10 v2 Disordered Systems and Neural Networks
Abstract
A relatively simple and physically transparent model based on quantum percolation and dephasing is employed to construct a global phase diagram which encodes and unifies the critical physics of the quantum Hall, "two-dimensional metal-insulator", classical percolation and, to some extent, superconductor-insulator transitions. Using real space renormalization group techniques, crossover functions between critical points are calculated. The critical behavior around each fixed point is analyzed and some experimentally relevant puzzles are addressed.
Cite
@article{arxiv.cond-mat/0409759,
title = {A unifying model for several two-dimensional phase transitions},
author = {Yonatan Dubi and Yigal Meir and Yshai Avishai},
journal= {arXiv preprint arXiv:cond-mat/0409759},
year = {2009}
}
Comments
4 pages, including 3 figures