Work

Many-body localization on finite generation fractal lattices

Year: 2024

Type: article

Abstract: 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.

Source: Journal of Statistical Mechanics Theory and Experiment

DOI: 10.1088/1742-5468/ad4538

Authors: Sourav Manna, Błażej Jaworowski, Anne E B Nielsen

Institutions: Max Planck Institute for the Physics of Complex Systems, Weizmann Institute of Science, Aarhus University

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,135

Funders: Weizmann Institute of Science, Carlsbergfondet