20.500.12556/RUL-121721 Preklopi med topološkima fazama v neurejenem Su-Schrieffer-Heegerjevem modelu Quenches Between Topological Phases in a Disordered Su-Schrieffer-Heeger Model V delu obravnavamo neurejen Su-Schrieffer-Heegerjev model. V takem sistemu lahko med topološkima fazama prehajamo tudi s spreminjanjem jakosti nereda. Kritična točka tega prehoda je zaznamovana z delokalizacijo stanja z energijo nič, v njeni okolici pa se nahaja široko območje brez energijske reže. Glavnina dela je posvečena proučevanju počasnih preklopov Hamiltonjana preko omenjene kritične točke. Med preklopom se pojavijo ekscitacije v prevodnem pasu, katerih število skalira kot potenčna funkcija hitrosti preklopa z logaritemskim popravkom. Potenčno odvisnost opazimo tudi pri skaliranju energij najvišje vzbujenih elektronov s hitrostjo preklopa. Pri dovolj počasnih preklopih se pojavi univerzalna časovna odvisnost števila ekscitacij od časa. Delo zaključimo s podrobnejšo analizo posameznih ekscitacij in ugotovimo, da preklopljeno stanje praviloma preide v le dve stanji v prevodnem pasu. We consider a disordered Su-Schrieffer-Heeger model. In such a system a transition between topological phases is also possible by changing the strength of the disorder. The critical point of this phase transition coincides with the delocalization of the zero energy state, while in its neighbourhood we observe a wide area without the energy gap. The main part of our work is devoted to the study of slow Hamiltonian quenches over the previously mentioned critical point. During the quench, excitations in the conduction band appear with their number scaling as a power law of the quench speed with a logarithmic correction. A power law scaling is also observed in the dependence of the highest excited electrons' energies on the quench speed. For slow enough quenches we find universal dependence of the number of excitations on time. We conclude with a detailed analysis of individual excitations and notice that the quenched state generally transitions to only two states in the conduction band. topološki izolator model SSH nered Andersonova lokalizacija preklop. topological insulator the SSH model disorder Anderson localization quench. true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2020-10-24 08:15:01 2020-10-24 08:15:05 2022-09-02 04:00:39 0000-00-00 00:00:00 2020 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 113790 34893315 1529.pdf 1529.pdf 1 023E08384D7FAFBF33F12A01BD41E0FC c1004c4919cbf605331633e95e2ec1fbc7b2faa69ca220fe638641567ef02028 f5b6ab6c-a1ba-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=136724 Fakulteta za matematiko in fiziko 0 0 0