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Experimental results on the metal-insulator transitions and the anomalous properties of strongly interacting two-dimensional electron systems are reviewed and critically analyzed. Special attention is given to recent results for the…

Strongly Correlated Electrons · Physics 2009-09-29 A. A. Shashkin

We study the influence of scale-free correlated disorder on the metal-insulator transition in the Anderson model of localization. We use standard transfer matrix calculations and perform finite-size scaling of the largest inverse Lyapunov…

Disordered Systems and Neural Networks · Physics 2012-06-05 Alexander Croy , Philipp Cain , Michael Schreiber

In this paper, based on the formulation of an O(3) non-linear sigma model, we study the two-dimensional Pi-flux Hubbard model at half-filling. A quantum non-magnetic insulator is explored near the metal-insulator transition that may be a…

Strongly Correlated Electrons · Physics 2015-04-28 Gao-Yong Sun , Su-Peng Kou

We study numerically the interplay of disorder and attractive interactions for spin-1/2 fermions in the three-dimensional Hubbard model. The results obtained by projector quantum Monte Carlo simulations show that at moderate disorder,…

Condensed Matter · Physics 2007-05-23 Bhargavi Srinivasan , Giuliano Benenti , Dima L. Shepelyansky

The $2d$ Hubbard model with nearest-neighbour hopping on the square lattice and an average of one electron per site is known to undergo an extended crossover from metallic to insulating behavior driven by proliferating antiferromagnetic…

Strongly Correlated Electrons · Physics 2020-03-19 Aaram J. Kim , Fedor Simkovic , Evgeny Kozik

Using the determinant quantum Monte Carlo method, we investigate the metal-insulator transition in the interacting disordered Hubbard model of a Lieb lattice, in which the system characterizes the flat band centered at the Fermi level. By…

Strongly Correlated Electrons · Physics 2022-12-06 Yueqi Li , Lingyu Tian , Tianxing Ma , Hai-Qing Lin

In this overview we provide a general introduction to metal-insulator transitions, with focus on specific mechanisms that can localize the electrons in absence of magnetic or charge ordering, and produce well defined quantum critical…

Strongly Correlated Electrons · Physics 2011-12-30 V. Dobrosavljevic

We study the metal-to-insulator transition of the Hubbard model at zero temperatures in infinite dimensions. The coexistence of metallic and insulating solutions for a finite range of the interaction is established. It is shown that the…

Condensed Matter · Physics 2015-06-25 Marcelo J. Rozenberg , Goetz Moeller , Gabriel Kotliar

A generalization of the single-parameter scaling theory of localization is proposed for the case when the random potential depends on temperature. The scaling equation describing the behavior of the resistance is derived. It is shown that…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 B. L. Altshuler , D. L. Maslov , V. M. Pudalov

To explain the main features of the metal-insulator transition (MIT) in 2D we suggest a simple model taking into account strongly localized states in the band tail of 2D conductivity band with a specific emphasize of a role of…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. I. Kozub , and N. V. Agrinskaya

Static disorder in a noninteracting gas of electrons confined to two dimensions can drive a continuous quantum (Anderson) transition between a metallic and an insulating state when time-reversal symmetry is preserved but spin-rotation…

Mesoscale and Nanoscale Physics · Physics 2008-09-03 Hideaki Obuse , Akira Furusaki , Shinsei Ryu , Christopher Mudry

We reexamine the problem of delocalization of two-dimensional electrons in the presence of random magnetic field. By introducing spatial correlations among random fluxes, a well-defined metal-insulator transition characterized by a…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. N. Sheng , Z. Y. Weng

Local magnetic moments in disordered sytems can be described in terms of annealed magnetic disorder, in addition to the underlying quenched disorder. It is shown that for noninteracting electron systems at zero temperature, the annealed…

Statistical Mechanics · Physics 2009-10-31 D. Belitz , T. R. Kirkpatrick , Thomas Vojta

Field-theoretical approach to Anderson localization in 2D disordered fermionic systems of chiral symmetry classes (BDI, AIII, CII) is developed. Important representatives of these symmetry classes are random hopping models on bipartite…

Mesoscale and Nanoscale Physics · Physics 2012-05-16 E. J. König , P. M. Ostrovsky , I. V. Protopopov , A. D. Mirlin

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

We use determinant Quantum Monte Carlo simulations and exact diagonalization to explore insulating behavior in the Hubbard model with a bimodal distribution of randomly positioned local site energies. From the temperature dependence of the…

Strongly Correlated Electrons · Physics 2007-07-10 N. Paris , A. Baldwin , R. T. Scalettar

We introduce a systematic low-energy approach to strongly correlated electron systems in infinite dimensions, and apply it to the problem of the correlation-induced metal-insulator transition in the half-filled Hubbard model. We determine…

Condensed Matter · Physics 2007-05-23 Goetz Moeller , Qimiao Si , Gabriel Kotliar , Marcelo Rozenberg

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 derive the disorder vs. doping phase diagram of the doped Hubbard model via Dynamical Mean Field Theory combined with Typical Medium Theory, which allows the description of both Mott (correlation driven) and Anderson (disorder driven)…

Strongly Correlated Electrons · Physics 2021-06-24 Nathan Giovanni , Marcello Civelli , Maria C. O. Aguiar

We investigate nonmagnetic metal-insulator transition in the 1/5-depleted square lattice Hubbard model at half-filling within the 8-site cellular dynamical mean field theory. We find that a metal-insulator transition without any signatures…

Strongly Correlated Electrons · Physics 2014-08-19 Yuki Yanagi , Kazuo Ueda