Many-body localization on finite generation fractal lattices

Autor:	Manna, Sourav, Jaworowski, Błażej, Nielsen, Anne E. B.
Rok vydání:	2021
Předmět:	Condensed Matter - Disordered Systems and Neural Networks
Zdroj:	J. Stat. Mech. (2024) 053301
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/ad4538
Popis:	We study many-body localization in a hardcore boson model in the presence of random disorder on finite generation fractal lattices with different Hausdorff dimensions and different local lattice structures. In particular, we consider the Vicsek, T-shaped, Sierpinski gasket, and modified Koch-curve fractal lattices. In the single-particle case, these systems display Anderson localization for arbitrary disorder strength if they are large enough. In the many-body case, the systems available to exact diagonalization exhibit a transition between a delocalized and localized regime, visible in the spectral and entanglement properties of these systems. The position of this transition depends on the Hausdorff dimension of the given fractal, as well as on its local structure. Comment: 15 pages, 8 figures, v2: Results added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.13516 Zobrazit plný text záznamu View this record from Arxiv