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The Mott-Anderson transition in the disordered charge-transfer model displays several new features in comparison to what is found in the disordered single-band Hubbard model, as recently demonstrated by large-scale computational…

Strongly Correlated Electrons · Physics 2014-05-09 W. S. Oliveira , M. C. O. Aguiar , V. Dobrosavljevic

We provide a review of recently-develop dynamical mean-field theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. We first describe the standard DMFT approach, which is exact in the limit…

Strongly Correlated Electrons · Physics 2023-02-16 E. Miranda , V. Dobrosavljevic

Density of states, dynamic (optical) conductivity and phase diagram of strongly correlated and strongly disordered paramagnetic Anderson-Hubbard model are analyzed within the generalized dynamical mean field theory (DMFT+\Sigma…

Strongly Correlated Electrons · Physics 2009-11-13 E. Z. Kuchinskii , I. A. Nekrasov , M. V. Sadovskii

The interplay between Mott and Anderson routes to localization in disordered interacting systems gives rise to different transitions and transport regimes. Here, we investigate the phase diagram at finite temperatures using dynamical mean…

Strongly Correlated Electrons · Physics 2015-09-25 Helena Braganca , M. C. O. Aguiar , J. Vucicevic , D. Tanaskovic , V. Dobrosavljevic

We present a complete analytical and numerical solution of the Typical Medium Theory (TMT) for the Anderson metal-insulator transition. In this theory, we self-consistently calculate the typical amplitude of the electron wave-We present a…

Strongly Correlated Electrons · Physics 2016-02-05 Samiyeh Mahmoudian , Shao Tang , Vladimir Dobrosavljević

We present a theory for disordered interacting electrons that can describe both the Mott and the Anderson transition in the respective limits of zero disorder and zero interaction. We use it to investigate the T=0 Mott-Anderson transition…

Strongly Correlated Electrons · Physics 2009-10-28 V. Dobrosavljevic , G. Kotliar

The Mott and the Anderson routes to localization have long been recognized as the two basic processes that can drive the metal-insulator transition (MIT). Theories separately describing each of these mechanisms were discussed long ago, but…

Strongly Correlated Electrons · Physics 2015-05-18 V. Dobrosavljevic

We present a large N solution of a microscopic model describing the Mott-Anderson transition on a finite-coordination Bethe lattice. Our results demonstrate that strong spatial fluctuations, due to Anderson localization effects,…

Strongly Correlated Electrons · Physics 2013-02-07 M. C. O. Aguiar , V. Dobrosavljevic

Theory of classical critical phenomena of Mott transition is developed for the dimensionality $d \le \infty$. Reconsidering a cluster dynamical mean-field theory (DMFT), Ginzburg-Landau free energy is derived in terms of hybridization…

Strongly Correlated Electrons · Physics 2007-05-23 Shigeki Onoda

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 review recent progress in our theoretical understanding of strongly correlated fermion systems in the presence of disorder. Results were obtained by the application of a powerful nonperturbative approach, the Dynamical Mean-Field Theory…

Strongly Correlated Electrons · Physics 2015-05-18 K. Byczuk , W. Hofstetter , D. Vollhardt

The self-energy-functional approach proposed recently is applied to the single-band Hubbard model at half-filling to study the Mott-Hubbard metal-insulator transition within the most simple but non-trivial approximation. This leads to a…

Strongly Correlated Electrons · Physics 2007-05-23 M. Potthoff

We present a new quantum molecular dynamics (MD) method where the electronic structure and atomic forces are solved by a real-space dynamical mean-field theory (DMFT). Contrary to most quantum MD methods that are based on effective…

Strongly Correlated Electrons · Physics 2022-08-19 Zhijie Fan , Gia-Wei Chern

Strong repulsive interactions between electrons can lead to a Mott metal-insulator transition. The Dynamical Mean-Field Theory (DMFT) explains the critical end-point and hysteresis region with single-particle concepts such as the spectral…

Strongly Correlated Electrons · Physics 2020-09-25 Erik G. C. P. van Loon , Friedrich Krien , Andrey A. Katanin

We study the Mott metal-insulator transition in the Periodic Anderson Model within Dynamical Mean Field Theory (DMFT). Near the quantum transition, we find a non-Fermi liquid metallic state down to a vanishing temperature scale. We identify…

Strongly Correlated Electrons · Physics 2011-04-06 A. Amaricci , G. Sordi , M. J. Rozenberg

Correlation-driven screening of disorder is studied within the typical-medium dynamical mean-field theory (TMT-DMFT) of the Mott-Anderson transition. In the strongly correlated regime, the site energies epsilon_R^i characterizing the…

Strongly Correlated Electrons · Physics 2008-02-29 M. C. O. Aguiar , V. Dobrosavljevic , E. Abrahams , G. Kotliar

A metal can be driven to an insulating phase through distinct mechanisms. A possible way is via the Coulomb interaction, which then defines the Mott metal-insulator transition (MIT). Another possibility is the MIT driven by disorder, the…

Strongly Correlated Electrons · Physics 2021-10-04 G. A. Canella , V. V. França

We investigate the Mott transition using a cluster extension of dynamical mean field theory (DMFT). In the absence of frustration we find no evidence for a finite temperature Mott transition. Instead, in a frustrated model, we observe…

Strongly Correlated Electrons · Physics 2009-11-10 O. Parcollet , G. Biroli , G. Kotliar

We address the nature of the Mott transition in the Hubbard model at half-filling using cluster Dynamical Mean Field Theory (DMFT). We compare cluster DMFT results with those of single site DMFT. We show that inclusion of the short range…

Strongly Correlated Electrons · Physics 2009-11-13 H. Park , K. Haule , G. Kotliar

Density of states, dynamic (optical) conductivity and phase diagram of paramagnetic two-dimensional Anderson-Hubbard model with strong correlations and disorder are analyzed within the generalized dynamical mean-field theory (DMFT+Sigma…

Strongly Correlated Electrons · Physics 2010-05-17 E. Z. Kuchinskii , N. A. Kuleeva , I. A. Nekrasov , M. V. Sadovskii
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