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- W4221143150 abstract "A characterization of the Anderson phase transition has been introduced, based on the response of the system to the boundary conditions. We change the boundary conditions from periodic to anti-periodic and look for its effect on the eigenstate of the system. To characterize the effect we use overlap of the states. In particular, we numerically calculate the overlap between ground-state of the system with periodic and that with anti-periodic boundary conditions in one-dimensional models with delocalized-localized phase transitions. We observe that the overlap is close to $1$ in the localized phase and it gets tangibly smaller in the delocalized phase. In addition, to characterize the entire spectrum of the models with mobility edges, we calculate also the overlaps between single-particle eigenstate with periodic and anti-periodic boundary conditions, by which we are able to locate the mobility edges." @default.
- W4221143150 created "2022-04-03" @default.
- W4221143150 creator A5083464633 @default.
- W4221143150 date "2022-02-22" @default.
- W4221143150 modified "2023-09-29" @default.
- W4221143150 title "Characterizing Anderson delocalized-localized phase transition based on the response of the system to the boundary conditions" @default.
- W4221143150 doi "https://doi.org/10.48550/arxiv.2202.10737" @default.
- W4221143150 hasPublicationYear "2022" @default.
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