Real-space Mott-Anderson electron localization with long-range interactions

Antoine Marie; Derk P. Kooi; Juri Grossi; Michael Seidl; Ziad H. Musslimani; Klaas J.H. Giesbertz; Paola Gori-Giorgi

doi:10.1103/PhysRevResearch.4.043192

Real-space Mott-Anderson electron localization with long-range interactions

Antoine Marie, Derk P. Kooi, Juri Grossi, Michael Seidl, Ziad H. Musslimani, Klaas J.H. Giesbertz, Paola Gori-Giorgi

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Abstract

Real materials always contain, to some extent, randomness in the form of defects or irregularities. It is known since the seminal work of Anderson that randomness can drive a metallic phase to an insulating one, and the mechanism responsible for this transition is intrinsically different from the one of the interaction-induced transitions discovered by Mott. Lattice Hamiltonians, with their conceptual and computational advantages, permitted to investigate broadly the interplay of both mechanisms. However, a clear understanding of the differences (or not) with their real-space counterparts is lacking, especially in the presence of long-range Coulomb interactions. This work aims at shedding light on this challenging question by investigating a real-space one-dimensional model of interacting electrons in the presence of a disordered potential. The transition between delocalized and localized phases is characterized using two different indicators, namely, the single-particle occupation entropy and the position-space information entropy. In addition, the performance of density functional approximations to reproduce the exact ground-state densities of this many-body localization model are gauged.

Original language	English
Article number	043192
Pages (from-to)	1-13
Number of pages	13
Journal	Physical Review Research
Volume	4
Issue number	4
Early online date	15 Dec 2022
DOIs	https://doi.org/10.1103/PhysRevResearch.4.043192
Publication status	Published - Dec 2022

Bibliographical note

Funding Information:
This work was supported by the Netherlands Organisation for Scientific Research (NWO) under Vici Grant No. 724.017.001 and by the H2020/MSCA-IF “SCP-Disorder” [Grant No. 797247]. Juri Grossi wishes to acknowledge the U.S. Department of Energy, National Nuclear Security Administration, Minority Serving Institution Partnership Program, under Award No. DE-NA0003866.

Publisher Copyright:
© 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Funding

This work was supported by the Netherlands Organisation for Scientific Research (NWO) under Vici Grant No. 724.017.001 and by the H2020/MSCA-IF “SCP-Disorder” [Grant No. 797247]. Juri Grossi wishes to acknowledge the U.S. Department of Energy, National Nuclear Security Administration, Minority Serving Institution Partnership Program, under Award No. DE-NA0003866.

Funders	Funder number
U.S. Department of Energy
Horizon 2020 Framework Programme	797247
National Nuclear Security Administration, Minority Serving Institution	DE-NA0003866
Nederlandse Organisatie voor Wetenschappelijk Onderzoek	724.017.001

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abstract = "Real materials always contain, to some extent, randomness in the form of defects or irregularities. It is known since the seminal work of Anderson that randomness can drive a metallic phase to an insulating one, and the mechanism responsible for this transition is intrinsically different from the one of the interaction-induced transitions discovered by Mott. Lattice Hamiltonians, with their conceptual and computational advantages, permitted to investigate broadly the interplay of both mechanisms. However, a clear understanding of the differences (or not) with their real-space counterparts is lacking, especially in the presence of long-range Coulomb interactions. This work aims at shedding light on this challenging question by investigating a real-space one-dimensional model of interacting electrons in the presence of a disordered potential. The transition between delocalized and localized phases is characterized using two different indicators, namely, the single-particle occupation entropy and the position-space information entropy. In addition, the performance of density functional approximations to reproduce the exact ground-state densities of this many-body localization model are gauged.",

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Real-space Mott-Anderson electron localization with long-range interactions

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