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Single-particle Excitations Across the Localization and Many-body Localization Transition in Quasi-periodic Systems by Prasad, Yogeshwar; Garg, Arti is a scholarly article available to read on EtoBox.

What is Single-particle Excitations Across the Localization and Many-body Localization Transition in Quasi-periodic Systems about?

We study localization and many-body localization transition in one dimensional systems in the presence of deterministic quasi-periodic potential. We use single-particle excitations obtained through single-particle Green's function in real space to characterize the localization to delocalization transition. A single parameter scaling analysis of the ratio of the typical to average value of the local density of states (LDOS) of single particle excitations shows that the critical exponent with which the correlation length $\xi$ diverges at the transition point $\xi \sim |h-h_c|^{-\nu}$, coming from the localized side, satisfies the inequality $\nu \ge 1$ for the non-interacting Aubry-Andre (AA) model. For the interacting system with AA potential, we study single particle excitations produced in highly excited many-body eigenstates across the MBL transition and found that the critical exponent obtained from finite-size scaling of the ratio of the typical to average value of the LDOS satisfies $\nu \ge 1$ here as well. This analysis of local density of states shows that the localization and MBL transition in systems with quasi-periodic potential belong to a different universality class

Author

Prasad, Yogeshwar; Garg, Arti

Published

2023

Language

EN