Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

G Rohringer, H Hafermann, A Toschi, AA Katanin… - Reviews of Modern …, 2018 - APS
Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …

Electronic phase separation: Recent progress in the old problem

MY Kagan, KI Kugel, AL Rakhmanov - Physics Reports, 2021 - Elsevier
We consider the nanoscale electronic phase separation in a wide class of different
materials, mostly in strongly correlated electron systems. The phase separation turns out to …

Anomalous phase separation in a correlated electron system: Machine-learning–enabled large-scale kinetic Monte Carlo simulations

S Zhang, P Zhang, GW Chern - Proceedings of the National …, 2022 - National Acad Sciences
Phase separation plays a central role in the emergence of unusual functionalities of
correlated electron materials. The structure of the mixed-phase states depends strongly on …

Interaction-tuned Anderson versus Mott localization

AE Antipov, Y Javanmard, P Ribeiro, S Kirchner - Physical Review Letters, 2016 - APS
Disorder or sufficiently strong interactions can render a metallic state unstable, causing it to
turn into an insulating one. Despite the fact that the interplay of these two routes to a …

Learning by confusion approach to identification of discontinuous phase transitions

M Richter-Laskowska, M Kurpas, MM Maśka - Physical Review E, 2023 - APS
Recently, the learning by confusion (LbC) approach has been proposed as a machine
learning tool to determine the critical temperature T c of phase transitions without any prior …

Thermodynamics of the two-dimensional Falicov-Kimball model: A classical Monte Carlo study

MM Maśka, K Czajka - Physical Review B—Condensed Matter and Materials …, 2006 - APS
The two-dimensional Falicov-Kimball (FK) model is analyzed using the Monte Carlo method.
In the case of concentrations of both itinerant and localized particles equal to 0.5 we …

Phase separation in Jahn-Teller systems with localized and itinerant electrons

KI Kugel, AL Rakhmanov, AO Sboychakov - Physical review letters, 2005 - APS
The phase diagram for doped manganites and related compounds is analyzed in terms of
the Kondo-lattice model taking into account an interplay between electrons localized due to …

Phase separation in a two-band model for strongly correlated electrons

AO Sboychakov, KI Kugel, AL Rakhmanov - Physical Review B—Condensed …, 2007 - APS
The two-band Hubbard model is used to analyze a possibility of a nonuniform charge
distribution in a strongly correlated electron system with two types of charge carriers. It is …

Exactly solvable Kondo lattice model in the anisotropic limit

WW Yang, J Zhao, HG Luo, Y Zhong - Physical Review B, 2019 - APS
In this paper we introduce an exactly solvable Kondo lattice model without any fine-tuning
local gauge symmetry. This model describes itinerant electrons interplaying with a localized …

Violation of Luttinger's theorem in the simplest doped Mott insulator: Falicov-Kimball model in the strong-correlation limit

WW Yang, Q Chen, HG Luo, Y Zhong - Physical Review B, 2022 - APS
Luttinger's theorem has long been taken as the key feature of Landau's Fermi liquid, which
signals the presence of quasiparticles. Here, by the unbiased Monte Carlo method, violation …