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We review our recent results on Anderson localization in systems of two interacting particles coupled by contact interactions. Based on an exact mapping to an effective single-particle problem, we numerically investigate the occurrence of…

Disordered Systems and Neural Networks · Physics 2021-01-25 Filippo Stellin , Giuliano Orso

Although quantum phase transitions involved with Anderson localization had been investigated for more than a half century, the role of spin polarization in these metal-insulator transitions has not been clearly addressed as a function of…

Disordered Systems and Neural Networks · Physics 2021-08-25 Kyung-Yong Park , Hyun-Jung Lee , Ki-Seok Kim

In this paper we present a determinant quantum monte carlo study of the two dimensional Hubbard model with random site disorder. We show that, as in the case of bond disorder, the system undergoes a transition from an Anderson insulating…

Strongly Correlated Electrons · Physics 2013-05-29 P. B. Chakraborty , P. J. H. Denteneer , R. T. Scalettar

We report a numerical analysis of Anderson localization in a model of a doped semiconductor. The model incorporates the disorder arising from the random spatial distribution of the donor impurities and takes account of the electron-electron…

Materials Science · Physics 2015-06-04 Yosuke Harashima , Keith Slevin

We study temperature induced metal-insulator transition in doped ferromagnetic semiconductors, described by s-d exchange model. The transition is a result of the mobility edge movement, the disorder being due to magnetic ions spin density…

Condensed Matter · Physics 2007-05-23 Eugene Kogan , Mark Auslender

Most of our quantitative understanding of disorder-induced metal-insulator transitions comes from numerical studies of simple noninteracting tight-binding models, like the Anderson model in three dimensions. An important outstanding problem…

Quantum Gases · Physics 2020-10-07 Filippo Stellin , Giuliano Orso

We investigate the metal insulator transitions at finite temperature for the Hubbard model with diagonal alloy disorder. We solve the dynamical mean field theory equations with the non crossing approximation and we use the coherent…

Strongly Correlated Electrons · Physics 2009-11-11 P. Lombardo , R. Hayn , G. I. Japaridze

The model of a strongly correlated system in which periodically spaced Anderson-Hubbard centers are introduced into narrow-band metal is considered. Besides the interactions between localized magnetic moments and strong on-site Coulomb…

Strongly Correlated Electrons · Physics 2023-07-19 Yuriy Skorenkyy , Leonid Didukh , Oleksandr Kramar , Yuriy Dovhopyaty

We investigate the metal-insulator transition occurring in two-dimensional (2D) systems of noninteracting atoms in the presence of artificial spin-orbit interactions and a spatially correlated disorder generated by laser speckles. Based on…

Quantum Gases · Physics 2017-05-23 Giuliano Orso

Anderson localization is a quantum phenomenon in which disorder localizes electronic wavefunctions. In this work, we propose a new approach to study Anderson localization based on the density matrix formalism. Drawing an analogy to the…

Disordered Systems and Neural Networks · Physics 2026-03-31 Ziyue Qi , Yi Zhang , Mingpu Qin , Hongming Weng , Kun Jiang

Anderson localization transitions are a universal quantum phenomenon sensitive to the disorder and dimensionality of electronic systems. Over the past decades, this intriguing topic has inspired overwhelmingly more theoretical studies than…

Mesoscale and Nanoscale Physics · Physics 2024-10-31 Jinhao Cheng , Chen Wang , Wenxue He , Jiaojiao Wang , Yifan Pang , Fan Yang , Shuaishuai Ding , Hechen Ren , Wenping Hu

We study the simplified Hubbard (SH) model in the presence of a transverse field in the infinite dimension limit. The relevant one-particle Green's functions of the model are obtained by means a perturbative treatment of the hopping and of…

Strongly Correlated Electrons · Physics 2009-10-31 Luis Craco

We studied several aspects of the Mott metal-insulator transition in the disordered case. The model on which we based our analysis is the disordered Hubbard model, which is the simplest model capable of capturing the Mott metal-insulator…

Strongly Correlated Electrons · Physics 2020-07-01 M. Y. Suárez-Villagrán , N. Mitsakos , Tsung-Han Lee , V. Dobrosavljević , J. H. Miller, , E. Miranda

We examine the metal-insulator transition in a half-filled Hubbard model of electrons with random and all-to-all hopping and exchange, and an on-site non-random repulsion, the Hubbard $U$. We argue that recent numerical results of Cha et…

Strongly Correlated Electrons · Physics 2020-05-13 Grigory Tarnopolsky , Chenyuan Li , Darshan G. Joshi , Subir Sachdev

To investigate the influence of electronic interaction on the metal-insulator transition (MIT), we consider the Aubry-Andr\'{e} (or Harper) model which describes a quasiperiodic one-dimensional quantum system of non-interacting electrons…

Disordered Systems and Neural Networks · Physics 2009-10-31 Andrzej Eilmes , Uwe Grimm , Rudolf A. Roemer , Michael Schreiber

We present a theory of the metal-insulator transition in a disordered two-dimensional electron gas. A quantum critical point, separating the metallic phase which is stabilized by electronic interactions, from the insulating phase where…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander Punnoose , Alexander M. Finkel'stein

Elucidating the physics of the single-orbital Hubbard model in its intermediate coupling regime is a key missing ingredient to our understanding of metal-insulator transitions in real materials. Using recent non-perturbative many-body…

Strongly Correlated Electrons · Physics 2024-10-10 Maria Chatzieleftheriou , Silke Biermann , Evgeny A. Stepanov

The interplay between strong Coulomb interactions and randomness has been a long-standing problem in condensed matter physics. According to the scaling theory of localization, in two-dimensional systems of noninteracting or weakly…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Kravchenko , M. P. Sarachik

Experimental results on the metal-insulator transition and related phenomena in strongly interacting two-dimensional electron systems are discussed. Special attention is given to recent results for the strongly enhanced spin susceptibility,…

Strongly Correlated Electrons · Physics 2016-11-18 A. A. Shashkin , S. V. Kravchenko

We discuss a metal-insulator transition caused by random couplings of magnetic moments in itinerant systems. An analytic solution for the single particle Green function is derived from dynamical self consistency equations, the corresponding…

Strongly Correlated Electrons · Physics 2007-05-23 B. Rosenow , R. Oppermann
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