20.500.12556/RUL-118047 Ergodicity breaking transition in finite disordered spin chains We study disorder-induced ergodicity breaking transition in high-energy eigenstates of interacting spin-1/2 chains. Using exact diagonalization, we introduce a cost function approach to quantitatively compare different scenarios for the eigenstate transition. We study ergodicity indicators such as the eigenstate entanglement entropy and the spectral level spacing ratio, and we consistently find that an (infinite-order) Berezinskii-KosterlitzThouless transition yields a lower cost function when compared to a finite-order transition. Interestingly, we observe that the ergodicity breaking transition in systems studied by exact diagonalization (with around 20 lattice sites) takes place at disorder values lower than those reported in previous works. As a consequence, the crossing point in finite systems exhibits nearly thermal properties, i.e., ergodicity indicators at the transition are close to the random matrix theory predictions. quantum statistical mechanics kvantna statistična mehanika true false false Angleški jezik Slovenski jezik Neznano 2020-08-17 14:12:32 2020-08-17 14:12:33 2022-08-30 04:01:14 0000-00-00 00:00:00 2020 0 0 Str. 064207-1-064207-11 iss. 6 Vol. 102 2020 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.93 2469-9950 10.1103/PhysRevB.102.064207 25337091 2997348 RAZ_Suntajs_Jan_2020.pdf RAZ_Suntajs_Jan_2020.pdf 1 79EF7585452ABEA2547B385408DE1BC6 bb65876c3d61d24a5fff3ce71c250cea09e8a813061ad86ec066387a48cca885 4da55333-a1b9-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=131982 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.064207 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140145 Fakulteta za matematiko in fiziko 0 0 0