Finite-size scaling of entanglement entropy at the Anderson transition with interactions


TitleFinite-size scaling of entanglement entropy at the Anderson transition with interactions
Publication TypeJournal Article
Year of Publication2013
AuthorsZhao, An, Chu Rui-Lin, and Shen Shun-Qing
JournalPhysical Review B
Volume87
Issue20
Start Page205140
Date Published05/2013
Abstract

We study the Anderson transition with interactions in one dimension from the perspective of quantum entanglement. Extensive numerical calculations of the entanglement entropy (EE) of the systems are carried out through the density matrix renormalization group algorithm. We demonstrate that the EE can be used for the finite-size scaling (FSS) to characterize the Anderson transition in both noninteracting and interacting systems. From the FSS analysis we can obtain a precise estimate of the critical parameters of the transition. The method can be applied to various one-dimensional models, either interacting or noninteracting, to quantitatively characterize the Anderson transitions.

URLhttp://prb.aps.org/abstract/PRB/v87/i20/e205140
DOI10.1103/PhysRevB.87.205140
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