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We discuss the decay of unstable states into a quasicontinuum using models of the effective Hamiltonian type. The goal is to show that exponential decay and the golden rule are exact in a suitable scaling limit, and that there is an…

Mathematical Physics · Physics 2010-11-09 E. Langmann , G. Lindblad

Atomic physics has a profound impact on the physical properties of correlated electron materials. This article describes a prime example of this phenomenon. We provide a non-technical introduction to the physics of Hund metals, a broad…

Strongly Correlated Electrons · Physics 2024-11-26 Antoine Georges , Gabriel Kotliar

We expand upon on an earlier renormalization group analysis of a non-Fermi liquid fixed point that plausibly govers the two dimensional electron liquid in a magnetic field near filling fraction $\nu=1/2$. We give a more complete description…

Condensed Matter · Physics 2009-10-22 Chetan Nayak , Frank Wilczek

We address the problem of superconductivity for non-Fermi liquids using two commonly adopted, yet apparently distinct methods: 1) the renormalization group (RG) and 2) Eliashberg theory. The extent to which both methods yield consistent…

Strongly Correlated Electrons · Physics 2017-05-03 Huajia Wang , Srinivas Raghu , Gonzalo Torroba

We construct a model which exhibits resistivity going as a power law in temperature $T$, as $T^\alpha$ down to the lowest temperature. There is no residual resistivity because we assume the absence of disorder and momentum relaxation is due…

Strongly Correlated Electrons · Physics 2024-03-26 Patrick A. Lee

Role of quenched randomness in metallic quantum criticality is one of the long standing problems in condensed matter physics. An aspect of the fundamental difficulties lies in the fact that such nonmagnetic disorders lead effective…

Strongly Correlated Electrons · Physics 2024-03-19 Kyoung-Min Kim , Ki-Seok Kim

A superconductor in contact with a normal metal not only induces superconducting correlations, known as proximity effect, but also modifies the density of states at some distance from the interface. These modifications can be resolved…

Condensed Matter · Physics 2009-10-28 W. Belzig , C. Bruder , Gerd Schoen

Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb interaction in a one-dimensional electron system. By applying a GW approximation, a strong wavefunction renormalization is found in the model,…

Strongly Correlated Electrons · Physics 2007-05-23 S. Bellucci , J. Gonzalez

This article is a pedagogical review of theoretical studies of noncentrosymmetric superconductors with particular emphasis on the role played by electron correlation, which is important for heavy fermion systems. We survey unique properties…

Superconductivity · Physics 2009-11-13 Satoshi Fujimoto

Rydberg atoms are used in a wide range of applications due to their peculiar properties like strong dipolar and van der Waals interactions. The choice of Rydberg state has a huge impact on the strength and angular dependence of the…

Atomic Physics · Physics 2025-11-04 Karen Wadenpfuhl , C. Stuart Adams

We address the puzzling weak-coupling perturbative behavior of graphene interaction effects as manifested experimentally, in spite of the effective fine structure constant being large, by calculating the effect of Coulomb interactions on…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 Johannes Hofmann , Edwin Barnes , S. Das Sarma

We present a well-controlled perturbative renormalization group (RG) treatment of superconductivity from short-ranged repulsive interactions in a variety of model two dimensional electronic systems. Our analysis applies in the limit where…

Superconductivity · Physics 2015-05-20 S. Raghu , S. A. Kivelson

Many-body interactions in crystalline solids can be conveniently described in terms of quasiparticles with strongly renormalized masses as compared to those of non-interacting particles. Examples of extreme mass renormalization are on the…

In this work, we theoretically study the charge order and orbital magnetic properties of a new type of antiferromagnetic kagome metal FeGe. Based on first principles density functional theory (DFT) calculations, we have studied the…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 Hai-Yang Ma , Jia-Xin Yin , M. Zahid Hasan , Jianpeng Liu

We consider density-imbalanced Fermi gases of atoms in the strongly interacting, i.e. unitarity, regime. The Bogoliubov-deGennes equations for a trapped superfluid are solved. They take into account the finite size of the system, as well as…

Strongly Correlated Electrons · Physics 2011-08-11 J. Kinnunen , L. M. Jensen , P. Torma

We study how the electron-electron interactions influence the charge distributions in the metallic state of quasicrystals. As a simple theoretical model, we introduce an extended Hubbard model on the Penrose lattice, and numerically solve…

Strongly Correlated Electrons · Physics 2022-10-06 Shiro Sakai , Ryotaro Arita , Tomi Ohtsuki

We investigate a possibility of Hund's metal behavior in the Hubbard model with asymmetric density of states having peak(s). Specifically, we consider the degenerate two-band model and compare its results to the five-band model with…

Strongly Correlated Electrons · Physics 2018-03-28 A. S. Belozerov , A. A. Katanin , V. I. Anisimov

We calculate the effect of Coulomb interactions on the average density of states nu (omega) of two-dimensional disordered electrons. It is shown that for weak disorder the most singular terms in the perturbative expansion of nu (omega) can…

Strongly Correlated Electrons · Physics 2009-10-31 Peter Kopietz

Model lattices such as the kagome and Lieb lattices have been widely investigated to elucidate the properties of interacting flat-band systems. While a quasicrystal does not have proper bands, the non-interacting density of states of…

Strongly Correlated Electrons · Physics 2025-08-28 Yuxi Zhang , Richard T. Scalettar , Rafael M. Fernandes

The aspect of the quasiparticle interaction of a local Fermi liquid, the impurity version of f$^2$-based heavy fermions, is studied by the Wilson numerical renormalization group method. In particular, the case of the f$^2$-singlet…

Strongly Correlated Electrons · Physics 2009-11-11 Kazumasa Hattori , Satoshi Yotsuhashi , Kazumasa Miyake
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