Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Khan, N (Author) Other; Santos Pires, J (Author) FCUP; Viana Parente Lopes, J (Author) FCUP; Lopes dos Santos, JMBL (Author) FCUP

Journal

Title: EPJ Web of Conferences

Vol. 101

ISSN: 2101-6275

Publisher: EDP Sciences

Other information

Authenticus ID: P-00S-0P0

DOI: 10.1051/epjconf/202023305011

Abstract (EN): <jats:p>In this paper, we report numerical calculations of the localization length in a non-interacting one-dimensional tight-binding model at zero tem¬perature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial implementation of the Thouless formula for the inverse localization length of a general nearest-neighbor 1D tight-binding model with open boundaries. Our results confirm the delocalization of all eigenstates in de Moura-Lyra model for <jats:italic>¿</jats:italic> > 1 and a localization length which diverges as <jats:italic>¿ ¿</jats:italic> (1 ¿ <jats:italic>¿</jats:italic>)<jats:sup>¿1</jats:sup> for <jats:italic>¿</jats:italic> ¿ 1<jats:sup>¿</jats:sup>, at all energies in the weak disorder limit (as previously seen in [12]).</jats:p>

Language: English

Type (Professor's evaluation): Scientific