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We study the influence of many-particle interactions on a metal-insulator transition. We consider the two-interacting-particle problem for onsite interacting particles on a one-dimensional quasiperiodic chain, the so-called Aubry-Andr\'{e}…

Disordered Systems and Neural Networks · Physics 2009-11-07 Andrzej Eilmes , Rudolf A. Roemer , Michael Schreiber

We study the Anderson metal-insulator transition for non ergodic random Schr\"odinger operators in both annealed and quenched regimes, based on a dynamical approach of localization, improving known results for ergodic operators into this…

Mathematical Physics · Physics 2015-05-30 Constanza Rojas-Molina

We argue on the basis of experimental numbers that the B=0 metal-insulator transition in two dimensions, observed in Si-MOSFETs and in other two-dimensional systems, is likely to be due to a few strongly interacting electrons, which also…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. M. Klapwijk , S. Das Sarma

The nature of metal-insulator and magnetic transitions is still a subject under intense debate in condensed matter physics. Amongst the many possible mechanisms, the interplay between electronic correlations and spin-orbit couplings is an…

Strongly Correlated Electrons · Physics 2022-10-27 Welberth Kennedy , Sebastião dos Anjos Sousa Júnior , Natanael C. Costa , Raimundo R. dos Santos

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

We study the effect of disorder on the semimetal -- Mott insulator transition in the half-filled repulsive Hubbard model on a honeycomb lattice, a system that features vanishing density of states at the Fermi level. Using the determinant…

Strongly Correlated Electrons · Physics 2018-03-22 Tianxing Ma , Lufeng Zhang , Chia-Chen Chang , Hsiang-Hsuan Hung , Richard T. Scalettar

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

We thoroughly analyze the divergences of the irreducible vertex functions occurring in the charge channel of the half-filled Hubbard model in close proximity to the Mott metal-insulator transition (MIT). In particular, by systematically…

Strongly Correlated Electrons · Physics 2023-11-21 Mathias Pelz , Severino Adler , Matthias Reitner , Alessandro Toschi

The half-filled two-dimensional Hubbard model in presence of a uniform and static parallel magnetic field has been studied by means of the Composite Operator Method. A fully self-consistent solution, fulfilling all the constrains coming…

Strongly Correlated Electrons · Physics 2007-05-23 A. Avella , F. Mancini

We study charge transport across the metal-insulator crossover in the half-filled two-dimensional Hubbard model, with particular emphasis on precision control. The dynamic current-current correlation function is obtained directly in the…

Strongly Correlated Electrons · Physics 2025-09-03 Youngmin Eom , Igor S. Tupitsyn , Nikolay V. Prokof'ev , Boris Svistunov , Evgeny Kozik , Aaram J. Kim

Experimental evidence for the possible universality classes of the metal-insulator transition (MIT) in two dimensions (2D) is discussed. Sufficiently strong disorder, in particular, changes the nature of the transition. Comprehensive…

Strongly Correlated Electrons · Physics 2016-03-22 Dragana Popović

In two-dimensional topological insulators, a disorder induced topological phase transition is typically identified with an Anderson localization transition at the Fermi energy. However, in higher-order, spin-resolved topological insulators…

Disordered Systems and Neural Networks · Physics 2024-03-07 Alexander C. Tyner , Cormac Grindall , J. H. Pixley

At the Mott transition, electron-electron interaction changes a metal, in which electrons are itinerant, to an insulator, in which electrons are localized. This phenomenon is central to quantum materials. Here we contribute to its…

Strongly Correlated Electrons · Physics 2019-02-20 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay

Quantum site percolation as a limiting case of binary alloy is studied numerically in 2D within the tight-binding model. We address the transport properties in all regimes - ballistic, diffusive (metallic), localized and crossover between…

Disordered Systems and Neural Networks · Physics 2008-05-02 I. Travenec

In the present paper we propose a doubly orbitally degenerate narrow-band model with correlated hopping. The peculiarity of the model is taking into account the matrix element of electron-electron interaction which describes intersite…

Strongly Correlated Electrons · Physics 2009-10-31 L. Didukh , Yu. Skorenkyy , Yu. Dovhopyaty , V. Hankevych

We study the three-dimensional two-band Anderson model of localization and compare our results to experimental results for amorphous metallic alloys (AMA). Using the transfer-matrix method, we identify and characterize the metal-insulator…

Disordered Systems and Neural Networks · Physics 2009-11-10 I V Plyushchay , R A Roemer , M Schreiber

We calculate the corrections to the conductivity and compressibility of a disordered metal when the mean free path is smaller than the screening length. Such a condition is shown to be realized for low densities and large disorder. Analysis…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , C. M. Varma

The metal-insulator transition in VO2 was investigated using the three-band Hubbard model, in which the degeneracy of the 3d orbitals, the on-site Coulomb and exchange interactions, and the effects of lattice distortion were considered. A…

Condensed Matter · Physics 2009-11-10 Arata Tanaka

Experiments on layered materials call for a study of the influence of short-range spin correlations on the Mott transition. To this end, we solve the cluster dynamical mean-field equations for the Hubbard model on a plaquette with…

Strongly Correlated Electrons · Physics 2010-06-23 G. Sordi , K. Haule , A. -M. S. Tremblay

The possible emergence of a spin liquid phase in the half-filled Hubbard model on the honeycomb lattice; a simple model of graphene, is studied using the variational cluster approximation. We found that the critical interaction strength of…

Strongly Correlated Electrons · Physics 2017-02-24 Atsushi Yamada