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The Mott metal-insulator transition in the two-band Hubbard model in infinite dimensions is studied by using the linearized dynamical mean-field theory. The discontinuity in the chemical potential for the change from hole to electron doping…

Strongly Correlated Electrons · Physics 2007-05-23 Yasuo Ohashi , Yoshiaki Ōno

Interplay between the Mott transition and the multicritical phenomenon of d-wave superconductivity (SC) and antiferromagnetism (AF) is studied theoretically. We describe the Mott transition, which is analogous to a liquid-gas phase…

Strongly Correlated Electrons · Physics 2009-11-10 Shigeki Onoda , Naoto Nagaosa

We study the critical behavior of the single-site entanglement entropy S at the Mott metal-insulator transition in infinite-dimensional Hubbard model. For this model, the entanglement between a single site and rest of the lattice can be…

Strongly Correlated Electrons · Physics 2015-06-12 Dan-Dan Su , Xi Dai , Ning-Hua Tong

Based on a local mean-field theory approach at Anderson localization, we find a distribution function of critical temperature from that of disorder. An essential point of this local mean-field theory approach is that the information of the…

Disordered Systems and Neural Networks · Physics 2016-05-18 Rayda Gammag , Ki-Seok Kim

We combine a recent mapping of the Anderson-Mott metal-insulator transition on a random-field problem with scaling concepts for random-field magnets to argue that disordered electrons near an Anderson-Mott transition show glass-like…

Statistical Mechanics · Physics 2009-10-28 D. Belitz , T. R. Kirkpatrick

The scaling behavior of Anderson impurity models each of which with a different site energy epsilon_i is examined close to the Mott-Anderson transition. Depending on the impurity energy epsilon_i, in the critical regime the site turns into…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. O. Aguiar , V. Dobrosavljevic , E. Abrahams , G. Kotliar

The dynamical mean-field theory (DMFT) is employed to study the Mott transition in the semi-infinite Hubbard model at half-filling and zero temperature. We consider the low-index surfaces of the three-dimensional simple-cubic lattice and…

Strongly Correlated Electrons · Physics 2016-08-31 M. Potthoff , W. Nolting

Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model and thus gives an approximate solution of the Hubbard model from the solution of simpler quantum impurity model.…

In this paper we critically discuss several examples of two-dimensional electronic systems displaying interaction-driven metal-insulator transitions of the Mott (or Wigner--Mott) type, including dilute two-dimension electron gases (2DEG) in…

Strongly Correlated Electrons · Physics 2022-07-04 Yuting Tan , Vladimir Dobrosavljevic , Louk Rademaker

Machine learning opens new avenues for modelling correlated materials. Quantum embedding approaches, such as the dynamical mean-field theory (DMFT), provide corrections to first-principles calculations for strongly correlated materials,…

Computational Physics · Physics 2021-12-01 Evan Sheridan , Christopher Rhodes , Francois Jamet , Ivan Rungger , Cedric Weber

We study valence fluctuations at finite temperatures in the extended periodic Anderson model, where the Coulomb interaction between conduction and localized $f$-electrons is taken into account, using dynamical mean-field theory combined…

Strongly Correlated Electrons · Physics 2016-02-17 Ryu Shinzaki , Joji Nasu , Akihisa Koga

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

This work reports a theoretical framework that combines the auxiliary coherent potential approximation (ACPA-DMFT) with dynamical mean-field theory to study strongly correlated and disordered electronic systems with both diagonal and…

Strongly Correlated Electrons · Physics 2025-02-12 Zelei Zhang , Jiawei Yan , Li Huang , Youqi Ke

We consider the interaction-driven Mott transition at zero temperature from the viewpoint of microscopic Fermi liquid theory. To this end, we derive an exact expression for the Landau parameters within the dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2019-06-18 Friedrich Krien , Erik G. C. P. van Loon , Mikhail I. Katsnelson , Alexander I. Lichtenstein , Massimo Capone

Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the…

Disordered Systems and Neural Networks · Physics 2012-04-16 Gabriel Lemarié , Hans Lignier , Dominique Delande , Pascal Szriftgiser , Jean Claude Garreau

Mottness is at the heart of the essential physics in a strongly correlated system as many novel quantum phenomena occur in the metallic phase near the Mott metal-insulator transition. We investigate the Mott transition in a Hubbard model by…

Strongly Correlated Electrons · Physics 2023-11-29 Yuekun Niu , Yu Ni , Jianli Wang , Leiming Chen , Ye Xing , Yun Song , Shiping Feng

An order parameter description of the Anderson-Mott transition (AMT) is given. We first derive an order parameter field theory for the AMT, and then present a mean-field solution. It is shown that the mean-field critical exponents are exact…

Condensed Matter · Physics 2009-10-22 D. Belitz , T. R. Kirkpatrick

The correlation-driven Mott transition is commonly characterized by a drop in resistivity across the insulator-metal phase boundary; yet, the complex permittivity provides a deeper insight into the microscopic nature. We investigate the…

I show that the quantum critical points observed in heavy fermions (the `Kondo breakdown') and in doped cuprates can be understood in terms of concealed Mott criticality. In this picture, one species of electrons undergoes a Mott…

Strongly Correlated Electrons · Physics 2025-10-03 Louk Rademaker

Correlated electrons in a binary alloy $A_{x}B_{1-x}$ are investigated within the Hubbard model and dynamical mean--field theory (DMFT). The random energies $\epsilon_{i}$ have a bimodal probability distribution and an energy separation…

Strongly Correlated Electrons · Physics 2009-11-10 Krzysztof Byczuk , Walter Hofstetter , Dieter Vollhardt