English

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 ν\nu is estimated as ν=1.55±0.10\nu = 1.55 \pm 0.10.

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