Metal-insulator transition in a 2D system of chiral unitary class

Autor: Karcher, Jonas F., Gruzberg, Ilya A., Mirlin, Alexander D.
Rok vydání: 2022
Předmět:
Zdroj: PRB 107, L020201, Jan 2023
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.107.L020201
Popis: 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 $\nu$ is estimated as $\nu = 1.55 \pm 0.10$.
Comment: 11 pages, 10 figures
Databáze: arXiv