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`Strange' metals that do not follow the predictions of Fermi liquid theory are prevalent in materials that feature superconductivity arising from electron interactions. In recent years, it has been hypothesized that spatial randomness in…

Strongly Correlated Electrons · Physics 2025-09-15 Aavishkar A. Patel , Peter Lunts , Michael S. Albergo

New insights into the microscopic origin of itinerant ferromagnetism were recently gained from investigations of electronic lattice models within dynamical mean-field theory (DMFT). In particular, it is now established that even in the…

Strongly Correlated Electrons · Physics 2007-05-23 D. Vollhardt , N. Blümer , K. Held , M. Kollar

Besides the mechanism responsible for high critical temperature superconductivity, the grand unresolved issue of the cuprates is the occurrence of a strange metallic state above the so-called pseudogap temperature $T^*$. Even though such…

A strange metal state appears in many strongly correlated materials from the cuprates, pnictides, and twisted bilayer graphenes to even bosonic systems. Enormous efforts are being made to unravel the nature of the non-Fermi liquid (NFL)…

Strongly Correlated Electrons · Physics 2024-08-28 Tae-Ho Park , Han-Yong Choi

Strange metallicity, characterized by a linear temperature dependence of the resistivity, is observed in a broad range of correlated materials, including heavy-fermion compounds and cuprate superconductors. It has also recently been…

Strongly Correlated Electrons · Physics 2026-05-21 Ruslan Mushkaev , Francesco Petocchi , Philipp Werner

The strange metal phase of optimally and overdoped cuprates exhibits a number of anomalous transport properties: unsaturating linear T resistivity, distinct relaxation times for Hall angle and resistivity, temperature dependent anisotropic…

Strongly Correlated Electrons · Physics 2013-05-29 Philip W Anderson , Philip A Casey

The strange metallic regime across a number of high-temperature superconducting materials presents numerous challenges to the classic theory of Fermi liquid metals. Recent measurements of the dynamical charge response of strange metals,…

Strongly Correlated Electrons · Physics 2023-07-18 Stephen J. Thornton , Danilo B. Liarte , Peter Abbamonte , James P. Sethna , Debanjan Chowdhury

While a specific kind of strange metal is increasingly found to be the "normal" states in a wide variety of unconventional superconductors, its microscopic origin is presently a hotly debated enigma. Using dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2018-06-26 Swagata Acharya , Mukul S. Laad , Nagamalleswararao Dasari , N. S. Vidhyadhiraja , Mark Jarrell , A Taraphder

We solve by Dynamical Mean Field Theory a toy-model which has a phase diagram strikingly similar to that of high $T_c$ superconductors: a bell-shaped superconducting region adjacent the Mott insulator and a normal phase that evolves from a…

Superconductivity · Physics 2008-03-24 Marco Schiro' , Massimo Capone , Michele Fabrizio , Claudio Castellani

We investigate the transport properties of a correlated metal within dynamical mean field theory. Canonical Fermi liquid behavior emerges only below a very low temperature scale $T_{FL}$. Surprisingly the quasiparticle scattering rate…

Strongly Correlated Electrons · Physics 2013-11-25 Wenhu Xu , Kristjan Haule , Gabriel Kotliar

I begin with a review of quantum impurity models in condensed matter physics, in which a localized spin degree of freedom is coupled to an interacting conformal field theory in d = 2 spatial dimensions. Their properties are similar to those…

Strongly Correlated Electrons · Physics 2011-02-01 Subir Sachdev

Superconductivity in strongly correlated electron systems frequently exhibits broken rotational symmetry, raising fundamental questions about the underlying order parameter symmetry. In this work, we demonstrate that electronic…

Anomalous metals are observed in numerous experiments on disordered two-dimensional systems proximate to superconductivity. A characteristic feature of an anomalous metal is that its low temperature conductivity has a weakly temperature…

Strongly Correlated Electrons · Physics 2021-03-31 Chenyuan Li , Darshan G. Joshi , Subir Sachdev

The temperature dependence of the transport properties of the metallic phase of a frustrated Hubbard model on the hypercubic lattice at half-filling are calculated. Dynamical mean-field theory, which maps the Hubbard model onto a single…

Strongly Correlated Electrons · Physics 2009-10-31 Jaime Merino , Ross H. McKenzie

It is shown that a non-magnetic metallic band in the presence of an antiferromagnetic background coupled only by the exchange interaction develops a superconducting instability similar to the one described by BCS theory plus additional…

Superconductivity · Physics 2013-09-03 Fernando A. Reboredo

The breakdown of the celebrated Fermi liquid theory in the strange metal phase is the central enigma of correlated quantum matter. Motivated by recent experiments reporting short-lived carriers, along with the ubiquitous observations of…

Superconductivity · Physics 2021-08-25 Anurag Banerjee , Maxence Grandadam , Hermann Freire , Catherine Pépin

While multiband systems are usually considered for flat-band physics, here we study one-band models that have flat portions in the dispersion to explore correlation effects in the 2D repulsive Hubbard model in an intermediate coupling…

We show how the coupling between the phonons and electrons in a strongly correlated metal can result in phonon frequencies which have a non-monotonic temperature dependence. Dynamical mean-field theory is used to study the Hubbard-Holstein…

Strongly Correlated Electrons · Physics 2009-10-31 J. Merino , Ross H. McKenzie

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt

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
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