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The electron spectrum structure in the half-filled Hubbard model is considered in terms of the one-particle Green's functions within many-electron representation. A simple analytical generalization of the single-site Hubbard-III…

Strongly Correlated Electrons · Physics 2009-11-07 V. Yu. Irkhin , A. V. Zarubin

While the Hubbard model is the standard model to study Mott metal-insulator transitions, it is still unclear to which extent it can describe metal-insulator transitions in real solids, where non-local Coulomb interactions are always…

Strongly Correlated Electrons · Physics 2018-04-25 M. Schüler , E. G. C. P. van Loon , M. I. Katsnelson , T. O. Wehling

To understand the essence of the exciton Mott transition in three-dimensional electron-hole systems, the metal-insulator transition is studied for a two-band Hubbard model in infinite dimensions with interactions of electron-electron…

Strongly Correlated Electrons · Physics 2007-05-23 Yuh Tomio , Tetsuo Ogawa

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

We investigate the zero-temperature metal-insulator transition in a one-dimensional two-component Fermi gas in the presence of a quasi-periodic potential resulting from the superposition of two optical lattices of equal intensity but…

Quantum Gases · Physics 2017-01-25 Sebastiano Pilati , Vipin Kerala Varma

The discovery of the metal-insulator transition (MIT) in two-dimensional (2D) electron systems challenged the veracity of one of the most influential conjectures in the physics of disordered electrons, which states that `in two dimensions,…

Strongly Correlated Electrons · Physics 2017-12-06 S. Anissimova , S. V. Kravchenko , A. Punnoose , A. M. Finkel'stein , T. M. Klapwijk

The ground state for the half-filled $t-t'$ Hubbard model is treated within the Hartree-Fock approximation and the slave boson approach including correlations. The criterium for the metal-insulator transition in the Slater scenario is…

Strongly Correlated Electrons · Physics 2021-07-14 P. A. Igoshev , V. Yu. Irkhin

Recent investigations suggest that both spin-orbit coupling and electron correlation play very crucial roles in the $5d$ transition metal oxides. By using the generalized Gutzwiller variational method and dynamical mean-field theory with…

Strongly Correlated Electrons · Physics 2015-06-12 Liang Du , Li Huang , Xi Dai

We analyze the unanalytical structure of metal-insulator transition (MIT) in infinite dimensions. By introducing a simple transformation into the dynamical mean-field equation of Hubbard model, a multiple-valued structure in Green's…

Strongly Correlated Electrons · Physics 2009-11-07 Ning-Hua Tong , Shun-Qing Shen , Fu-Cho Pu

Around a metal-to-insulator transition driven by repulsive interaction (Mott transition) the single particle excitations and the collective excitations are equally important. Here we present results for the generic susceptibilities at zero…

Strongly Correlated Electrons · Physics 2009-04-03 Carsten Raas , Götz S. Uhrig

Correlated electron systems with competing interactions provide a valuable platform for examining exotic magnetic phases. Theoretical models often focus on nearest-neighbor interactions, although long-range interactions can have a…

Strongly Correlated Electrons · Physics 2025-03-28 Sudip Mandal , Sandip Halder , Kalpataru Pradhan

The interaction between itinerant and Mott localized electronic states in strongly correlated materials is studied within dynamical mean field theory in combination with the numerical renormalization group method. A novel nonmagnetic zero…

Strongly Correlated Electrons · Physics 2011-11-10 T. A. Costi , A. Liebsch

The effect of a magnetic field on Mott-Hubbard systems is investigated by studying the half-filled Hubbard model in the limit of infinite dimensions. A first-order metamagnetic transition between the strongly correlated metal and the Mott…

Condensed Matter · Physics 2009-10-22 Laurent Laloux , Antoine Georges , Werner Krauth

In contrast to the Hubbard model, the extended Hubbard model, which additionally accounts for non-local interactions, lacks systemic studies of thermodynamic properties especially across the metal-insulator transition. Using a variational…

Strongly Correlated Electrons · Physics 2019-06-19 M. Schüler , E. G. C. P. van Loon , M. I. Katsnelson , T. O. Wehling

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

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

The metal-insulator transition (MIT) observed in two-dimensional (2D) systems is apparently contradictory to the well known scaling theory of localization. By investigating the conductance of disordered one-dimensional systems with a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Junren Shi , X. C. Xie

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

The effect of the Hubbard interaction among conduction electrons on the double exchange model is investigated in a ferromagnetic metallic phase. Applying iterative perturbation theory to the Hubbard interaction within dynamical mean field…

Strongly Correlated Electrons · Physics 2009-10-31 Yoshiki Imai , Norio Kawakami

The Mott-Hubbard metal-insulator transition is investigated in a two-band Hubbard model within dynamical mean-field theory. To this end, we use a suitable extension of Wilson's numerical renormalization group for the solution of the…

Strongly Correlated Electrons · Physics 2009-11-10 Thomas Pruschke , Ralf Bulla