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The extended Falicov-Kimball model is analyzed exactly for finite temperatures ($T\geq0$) in the limit of large dimensions. Onsite and intersite density-density interactions $U$ and $V$ are included in the model. Using the dynamical mean…

Strongly Correlated Electrons · Physics 2019-06-26 Konrad Jerzy Kapcia , Romuald Lemański , Stanisław Robaszkiewicz

The so-called minimal models of unconventional superconductivity are lattice models of interacting electrons derived from materials in which electron pairing arises from purely repulsive interactions. Showing unambiguously that a minimal…

Strongly Correlated Electrons · Physics 2019-08-28 Adrian Kantian , Michele Dolfi , Matthias Troyer , Thierry Giamarchi

The Dicke model (DM) serves as a paradigm for understanding collective light-matter interactions. We introduce the chiral Dicke model, a generalization where an atomic ensemble couples to a two-mode cavity via chiral interactions. Unlike…

Quantum Physics · Physics 2026-04-24 Nikolay Yegovtsev , Sayan Choudhury , W. Vincent Liu

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particular,…

Strongly Correlated Electrons · Physics 2015-05-30 D. Vollhardt , K. Byczuk , M. Kollar

We derive in the Heisenberg picture a widely used phenomenological coupling element to treat feedback effects in quantum optical platforms. Our derivation is based on a microscopic Hamiltonian, which describes the mirror-emitter dynamics…

Quantum Physics · Physics 2017-09-15 Fabian M. Faulstich , Manuel Kraft , Alexander Carmele

The absence of resistivity saturation in many strongly correlated metals, including the high-temperature superconductors, is critically examined from the viewpoint of optical conductivity measurements. Coherent quasiparticle conductivity,…

Strongly Correlated Electrons · Physics 2009-11-10 N. E. Hussey , K. Takenaka , H. Takagi

Recent experimental and numerical evidence suggest an intriguing universal relationship between the Fermi surface anisotropy of the non-interacting parent two-dimensional electron gas and the strongly correlated composite Fermi liquid…

Strongly Correlated Electrons · Physics 2020-05-18 Jia Ning Leaw , Ho-Kin Tang , Maxim Trushin , Fakher F. Assaad , Shaffique Adam

We demonstrate a universal scaling form of longitudinal resistance in the quantum critical region of metal-insulator transitions, based on numerical results of three-dimensional Anderson transitions (with and without magnetic field),…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. N. Sheng , Z. Y. Weng

These are introductory lectures to some aspects of the physics of strongly correlated electron systems. I first explain the main reasons for strong correlations in several classes of materials. The basic principles of dynamical mean-field…

Strongly Correlated Electrons · Physics 2009-09-29 Antoine Georges

Metallic quantum criticality is among the central theme in the understanding of correlated electronic systems, and converging results between analytical and numerical approaches are still under calling. In this work, we develop state-of-art…

Strongly Correlated Electrons · Physics 2019-08-13 Zi Hong Liu , Gaopei Pan , Xiao Yan Xu , Kai Sun , Zi Yang Meng

The Fermi liquid paradigm for metals has contributed enormously to our understanding of condensed matter systems. However a growing number of quantum critical systems have been shown to exhibit non Fermi liquid behavior. A full…

Strongly Correlated Electrons · Physics 2020-09-02 C. -Y. Lin , Y. -Y. Chang , C. Rylands , N. Andrei , C. -H. Chung

The critical value of the atom-field coupling strength for a finite number of atoms is deter- mined by means of both, semiclassical and exact solutions. In the semiclassical approach we use a variational procedure with coherent and…

Quantum Physics · Physics 2012-12-05 Octavio Castaños , Eduardo Nahmad-Achar , Ramón López-Peña , Jorge G. Hirsch

Bad-Metal (BM) behavior featuring linear temperature dependence of the resistivity extending to well above the Mott-Ioffe-Regel (MIR) limit is often viewed as one of the key unresolved signatures of strong correlation. Here we associate the…

Strongly Correlated Electrons · Physics 2015-06-26 J. Vucicevic , D. Tanaskovic , M. Rozenberg , V. Dobrosavljevic

In an incoherent metal, transport is controlled by the collective diffusion of energy and charge rather than by quasiparticle or momentum relaxation. We explore the possibility of a universal bound $D \gtrsim \hbar v_F^2/(k_B T)$ on the…

Strongly Correlated Electrons · Physics 2015-06-19 Sean A. Hartnoll

We present the combination of Density Functional Theory (DFT) and Dynamical Mean Field Theory (DMFT) for computing the electron transmission through two-terminals nanoscale devices. The method is then applied to metallic junctions…

Strongly Correlated Electrons · Physics 2022-09-14 Andrea Droghetti , Milos M. Radonjić , Liviu Chioncel , Ivan Rungger

Since the first investigation of the Hubbard model in the limit of infinite dimensions by Metzner and Vollhardt, dynamical mean-field theory (DMFT) has become a very powerful tool for the investigation of lattice models of correlated…

Strongly Correlated Electrons · Physics 2007-05-23 Ralf Bulla

We investigate the electronic properties of an exemplar transition metal impurity in an insulator, with the goal of accurately describing strongly correlated, defect states. We consider iron in aluminum nitride, a material of interest for…

Strongly Correlated Electrons · Physics 2025-01-28 Leon Otis , Yu Jin , Victor Wen-zhe Yu , Siyuan Chen , Laura Gagliardi , Giulia Galli

Real-time dynamics of strongly correlated systems, in particular its critical dynamics near phase transitions, have been always on the cutting edge of studies in diverse fields of physics, e.g., high energy physics, condensed matter,…

High Energy Physics - Theory · Physics 2025-03-27 Yang-yang Tan , Yong-rui Chen , Wei-jie Fu , Wei-Jia Li

Simulations of five different coarse-grained models of symmetric diblock copolymer melts are compared to demonstrate a universal (i.e., model-independent) dependence of the free energy on the invariant degree of polymerization…

Soft Condensed Matter · Physics 2015-06-18 Jens Glaser , Pavani Medapuram , Thomas M. Beardsley , Mark W. Matsen , David C. Morse