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An instability of a diffusive Fermi liquid, indicative of a metal-insulator transition (expected to be of first order), arising solely from the competition between quenched disorder and short-ranged interparticle interactions is identified…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthew S. Foster , Andreas W. W. Ludwig

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

We investigate the effects of static, diagonal disorder in the $d=\infty$ Hubbard model by treating the dynamical effects of local Hubbard correlations and disorder on an equal footing. This is achieved by a proper combination of the…

Strongly Correlated Electrons · Physics 2007-05-23 L. Craco , M. S. Laad , E. Müller-Hartmann

The Hubbard model in the strong-coupling regime is mainly studied by Kondo-lattice theory or 1/d expansion theory, with d the spatial dimensionality. In two dimensions and higher, the ground state within the Hilbert subspace with no order…

Strongly Correlated Electrons · Physics 2007-07-03 Fusayoshi J. Ohkawa

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

We have completed a numerical investigation of the Anderson-Hubbard model for three-dimensional simple cubic lattices using a real-space self-consistent Hartree-Fock decoupling approximation for the Hubbard interaction. In this formulation…

Strongly Correlated Electrons · Physics 2015-05-13 X. Chen , R. J. Gooding

Non-equilibrium control of electronic properties in condensed matter systems can result in novel phenomena. In this work, we provide a novel non-equilibrium route to realize half-metallic phases. We explore the periodically driven Hubbard…

Strongly Correlated Electrons · Physics 2025-07-15 Suryashekhar Kusari , Arnab Das , H. R. Krishnamurthy , Arti Garg

We study the single-orbital Hubbard model on the half-filled decorated honeycomb lattice. In the non-interacting theory at half-filling the Fermi energy lies within a flat band where strong correlations are enhanced. The lattice is highly…

Strongly Correlated Electrons · Physics 2022-05-18 H. L. Nourse , Ross H. McKenzie , B. J. Powell

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 study one-dimensional disordered fermions that either undergo metal-insulator transitions or topological phase transitions to become trivial Anderson insulators. We focus on using entanglement to elucidate how the spatial, momentum, and…

Disordered Systems and Neural Networks · Physics 2014-10-01 Ian Mondragon-Shem , Taylor L. Hughes

We study transport properties of the half-filled two-dimensional (2D) Hubbard model with spatially varying interactions, where a pattern of interacting and non-interacting sites is formed. We use Determinantal Quantum Monte Carlo method to…

Strongly Correlated Electrons · Physics 2014-08-15 Rubem Mondaini , Thereza Paiva

It is now possible to study experimentally the combined effect of disorder and interactions in cold atom physics. Motivated by these developments we investigate the dynamics around the metal-insulator transition (MIT) in a one-dimensional…

Quantum Gases · Physics 2012-03-22 Masaki Tezuka , Antonio M. Garcia-Garcia

In the presence of quenched disorder, the interplay between local magnetic-moment formation and Anderson localization for electrons at a zero-temperature, metal-insulator transition (MIT) remains a long unresolved problem. Here, we study…

Disordered Systems and Neural Networks · Physics 2024-10-17 Xinghai Zhang , Matthew S. Foster

We study the effects of generic short-ranged interactions on a system of 2D Dirac fermions subject to a special kind of static disorder, often referred to as ``chiral.'' The non-interacting system is a member of the disorder class BDI [M.…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthew S. Foster , Andreas W. W. Ludwig

We consider a disordered system of gapless fermions interacting with a singular transverse (2+1)-dimensional gauge-field. We study quantum corrections to fermion conductivity and show that they are very different from those in a Fermi…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Galitski

We describe the behavior of a system of fermionic atoms loaded in a bipartite one-dimensional optical lattice that is under the action of an external time-periodic driving force. By using Floquet theory, an effective model with renormalized…

Quantum Gases · Physics 2014-09-05 M. Di Liberto , D. Malpetti , G. I. Japaridze , C. Morais Smith

We present a detailed, quantitative study of the competition between interaction- and disorder-induced effects in electronic systems. For this the Anderson-Hubbard model with diagonal disorder is investigated analytically and by Quantum…

Condensed Matter · Physics 2007-05-23 M. Ulmke , V. Janis , D. Vollhardt

The effects of mass imbalance in a three-component Hubbard model are studied by the dynamical mean-field theory combined with exact diagonalization. The model describes a fermion-fermion mixture of two different particle species with a mass…

Strongly Correlated Electrons · Physics 2015-04-01 Duong-Bo Nguyen , Duy-Khuong Phung , Van-Nham Phan , Minh-Tien Tran

We review the scaling theory of disordered itinerant electrons with e-e interactions. We first show how to adjust the microscopic Fermi-liquid theory to the presence of disorder. Then we describe the non-linear sigma model (NLSM) with…

Strongly Correlated Electrons · Physics 2023-03-07 A. M. Finkel'stein , G. Schwiete

The interplay of interactions and disorder in two-dimensional (2D) electron systems has actively been studied for decades. The paradigmatic approach involves starting with a clean Fermi liquid and perturbing the system with both disorder…

Strongly Correlated Electrons · Physics 2020-12-29 P. A. Nosov , I. S. Burmistrov , S. Raghu
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