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Lattice models are powerful tools for studying strongly correlated quantum many-body systems, but their general lack of exact solutions motivates efforts to simulate them in tunable platforms. Recently, a promising new candidate has emerged…

Strongly Correlated Electrons · Physics 2026-01-27 Yiqi Yang , Yubo Yang , Miguel A. Morales , Shiwei Zhang

Correlation of interacting particles is studied in their dynamics and localization in ideal and disordered lattice systems with the help of numerical tools. Both 1D and 2D systems are considered. In 1D lattices with long-range hopping,…

Quantum Gases · Physics 2018-09-27 Tirthaprasad Chattaraj

We study the effect of quenched disorder on the ordering of orbital and magnetic degrees of freedom in a two-dimensional, two-band double-exchange model for $e_g$ electrons coupled to Jahn-Teller distortions. Using a real-space Monte Carlo…

Strongly Correlated Electrons · Physics 2008-05-23 Sanjeev Kumar , Arno P. Kampf

The model of two electrons with Coulomb interaction on a two-dimensional (2D) disordered lattice is considered. It is shown that the interaction can give a sharp transition to delocalized states in a way similar to the Anderson transition…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

We study the relaxation properties of the Kondo lattice model using the nonequilibrium dynamical mean field formalism in combination with the non-crossing approximation. The system is driven out of equilibrium either by a magnetic field…

Strongly Correlated Electrons · Physics 2013-05-30 Philipp Werner , Martin Eckstein

We study quantum antiferromagnets on two-dimensional bipartite lattices. We focus on local variations in the properties of the ordered phase which arise due to the presence of inequivalent sites or bonds in the lattice structure, using…

Strongly Correlated Electrons · Physics 2009-11-11 A. Jagannathan , R. Moessner , S. Wessel

The interplay between Kondo screening and magnetic order has long been a central issue in the physics of strongly correlated systems. While the Kondo effect has traditionally been understood to suppress magnetism through the formation of…

Strongly Correlated Electrons · Physics 2026-01-26 Hironori Yamaguchi , Shunsuke C. Furuya , Yu Tominaga , Takanori Kida , Koji Araki , Masayuki Hagiwara

Finding d-electron heavy fermion (HF) states has been an important topic as the diversity in d-electron materials can lead to many exotic Kondo effect-related phenomena or new states of matter such as correlation-driven topological Kondo…

The undoped Kondo necklace in 1D is a paradigmatic and well understood model of a Kondo insulator. This work performs the first large-scale study of the 1D Anderson-lattice underlying the Kondo necklace with quasi-exact numerical methods,…

Strongly Correlated Electrons · Physics 2026-05-07 J. E. Ebot , Lorenzo Pizzino , Sam Mardazad , Johannes S. Hofmann , Thierry Giamarchi , Adrian Kantian

We analytically study plasma solitary waves, or solitons, in a two-dimensional (2D) electron system (ES) placed in close proximity to and between two ideal metallic gates. As a rule, solitons are described using a perturbative approach…

Mesoscale and Nanoscale Physics · Physics 2022-05-20 A. A. Zabolotnykh

The existence of Anderson localization, characterized by vanishing diffusion due to strong disorder, has been demonstrated in numerous ways. A systematic approach based on the Anderson quantum model of the Fermi gas in random lattices that…

Disordered Systems and Neural Networks · Physics 2026-03-26 Václav Janiš

The Kondo-lattice model, which couples a lattice of localized magnetic moments to conduction electrons, is often used to describe heavy-fermion systems. Because of the interplay between Kondo physics and magnetic order it displays very…

Strongly Correlated Electrons · Physics 2017-08-24 T. R. Kirkpatrick , D. Belitz

Destructive interference between electron wavefunctions on the two-dimensional (2D) kagome lattice induces an electronic flat band, which could host a variety of interesting many-body quantum states. Key to realize these proposals is to…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Caiyun Chen , Jiangchang Zheng , Ruopeng Yu , Soumya Sankar , Hoi Chun Po , Kam Tuen Law , Berthold Jäck

We use particle dynamics simulations to probe the correlations between noise and dynamics in a variety of disordered systems, including superconducting vortices, 2D electron liquid crystals, colloids, domain walls, and granular media. The…

Superconductivity · Physics 2009-11-10 C. J. Olson Reichhardt , C. Reichhardt

Novel electronic phenomena frequently form in heavy fermions as a consequence of the mutual nature of localization and itineracy of f electrons. On the magnetically ordered side of the heavy fermion phase diagram, f moments are expected to…

The Kondo effect, a hallmark of strong correlation physics, is characterized by the formation of an extended cloud of singlet states around magnetic impurities at low temperatures. While many implications of the Kondo cloud's existence have…

Mesoscale and Nanoscale Physics · Physics 2021-06-28 André Erpenbeck , Guy Cohen

We study localization properties of disordered bosons and spins in random fields at zero temperature. We focus on two representatives of different symmetry classes, hard-core bosons (XY magnets) and Ising magnets in random transverse…

Disordered Systems and Neural Networks · Physics 2013-07-22 Xiaoquan Yu , Markus Mueller

Complex and correlated quantum systems with promise for new functionality often involve entwined electronic degrees of freedom. In such materials, highly unusual properties emerge and could be the result of electron localization. Here, a…

A model for correlated electrons in a lattice with local additional spin--1 degrees of freedom inducing constrained hopping, is studied both in the low density limit and at quarter filling. We show that in both 1D and 2D two particles form…

Condensed Matter · Physics 2009-10-22 Giuseppe Santoro , Marco Airoldi , Nicola Manini , Erio Tosatti , Alberto Parola

We consider the two dimensional (2D) classical lattice Coulomb gas as a model for magnetic field induced vortices in 2D superconducting networks. Two different dynamical rules are introduced to investigate driven diffusive steady states far…

Statistical Mechanics · Physics 2009-11-11 Violeta Gotcheva , Yanting Wang , Albert T. J. Wang , S. Teitel