20.500.12556/RUL-144930 Localization challenges quantum chaos in the finite two-dimensional Anderson model It is believed that the two-dimensional (2D) Anderson model exhibits localization for any nonzero disorder in the thermodynamic limit and it is also well known that the finite-size effects are considerable in the weak disorder limit. Here we numerically study the quantum chaos to localization transition in the finite 2D Anderson model using standard indicators used in the modern literature such as the level spacing ratio, spectral form factor, variances of observable matrix elements, participation entropy, and the eigenstate entanglement entropy. We show that many features of these indicators may indicate emergence of robust single-particle quantum chaos at weak disorder. However, we argue that a careful numerical analysis is consistent with the single-parameter scaling theory and predicts the breakdown of quantum chaos at any nonzero disorder value in the thermodynamic limit. Among the hallmarks of this breakdown are the universal behavior of the spectral form factor at weak disorder, and the universal scaling of various indicators as a function of the parameter $u=(W \ \mathrm{ln}\ V)^{-1}$ where $W$ is the disorder strength and $V$ is the number of lattice sites. statistical physics quantum statistical mechanics condensed matter physics localization statistična fizika kvantna statistična mehanika fizika kondenzirane snovi lokalizacija true false true Angleški jezik Slovenski jezik Članek v reviji 2023-03-23 09:04:26 2023-03-23 09:04:27 2023-03-24 03:37:40 0000-00-00 00:00:00 2023 0 0 Str. 064205-1-064205-14 iss. 6 Vol. 107 2023 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 2023-01-01 536.93 2469-9950 10.1103/PhysRevB.107.064205 146127875 2212.10625.pdf 2212.10625.pdf 1 D9350BF0403E0555A4332E0C19220EFF d6cd8de7e4d1117463be6677b8af126c3940bfa89d09f3b4b733231f4134e364 709d93cc-c952-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=167498 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.107.064205 0 88e2cb38-c952-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=167499 Fakulteta za matematiko in fiziko 0 0 0