Metal-insulator transition in a 2D system of chiral unitary class
Disordered Systems and Neural Networks
2023-01-30 v1 Mesoscale and Nanoscale Physics
Abstract
We perform a numerical investigation of Anderson metal-insulator transition (MIT) in a twodimensional system of chiral symmetry class AIII by combining finite-size scaling, transport, density of states, and multifractality studies. The results are in agreement with the sigma-model renormalization-group theory, where MIT is driven by proliferation of vortices. We determine the phase diagram and find an apparent non-universality of several parameters on the critical line of MIT, which is consistent with the analytically predicted slow renormalization towards the ultimate fixed point of the MIT. The localization-length exponent is estimated as .
Keywords
Cite
@article{arxiv.2210.03131,
title = {Metal-insulator transition in a 2D system of chiral unitary class},
author = {Jonas F. Karcher and Ilya A. Gruzberg and Alexander D. Mirlin},
journal= {arXiv preprint arXiv:2210.03131},
year = {2023}
}
Comments
11 pages, 10 figures