Real space Mott-Anderson electron localization with long-range
interactions: exact and approximate descriptions
- URL: http://arxiv.org/abs/2208.14546v2
- Date: Tue, 11 Oct 2022 19:49:18 GMT
- Title: Real space Mott-Anderson electron localization with long-range
interactions: exact and approximate descriptions
- Authors: Antoine Marie, Derk P. Kooi, Juri Grossi, Michael Seidl, Ziad H.
Musslimani, Klaas Giesbertz and Paola Gori-Giorgi
- Abstract summary: This work investigates a real-space one-dimensional model of interacting electrons in the presence of a disordered potential.
The transition between delocalized and localized phases are characterized using two different indicators.
The performance of density functional approximations to reproduce the exact ground-state densities of this many-body localization model are gauged.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 are
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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