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We present a variational calculation of the energy of an impurity immersed a double Fermi sea of non-interacting Fermions. We show that in the strong-coupling regime, the system undergoes a first order transition between polaronic and…

Quantum Gases · Physics 2020-09-23 Ragheed Alhyder , Xavier Leyronas , Frederic Chevy

Mesoscopic fluctuations and correlations of the local density of states are studied near metal-insulator transitions in disordered interacting electronic systems. We show that the multifractal behavior of the local density of states…

Mesoscale and Nanoscale Physics · Physics 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We study a magnetic impurity embedded in a correlated electron system using the density-matrix renormalization group method. The correlated electron system is described by the one-dimensional Hubbard model. At half filling, we confirm that…

Strongly Correlated Electrons · Physics 2007-05-23 S. Nishimoto , P. Fulde

We analyze the two Anderson impurity problem, in the strong Coulomb repulsion limit, by means of variational wave functions whose equations we solve analytically. We found two pairs of Doublet states, one odd and one even with respect to…

Strongly Correlated Electrons · Physics 2007-05-23 J. Simonin

The effect of weak anisotropic (momentum-dependent) impurity scattering in unconventional superconductors has been investigated. It is shown that the anisotropic scattering can lead either to a small reduction or a small enhancement of the…

Superconductivity · Physics 2009-10-28 Grzegorz Haran , A. D. S. Nagi

Classification and understanding of quantum phase transitions and critical phenomena in itinerant electron systems are outstanding questions in quantum materials research. Recent experiments on heavy fermion systems with higher-rank…

Strongly Correlated Electrons · Physics 2023-08-14 Daniel J. Schultz , SangEun Han , Yong Baek Kim

Studies of the effects of the Hund's rule coupling J_H in multiple orbit impurities or quantum dots using different models have led to quite different predictions for the Kondo temperature T_K as a function of J_H. We show that the…

Strongly Correlated Electrons · Physics 2015-06-12 Y. Nishikawa , A. C. Hewson

We present a numerical analysis of spin-$\frac{1}{2}$ fermions in a one-dimensional harmonic potential in the presence of a magnetic point-like impurity at the center of the trap. The model represents a few-body analogue of a magnetic…

We study solutions to the Lippmann-Schwinger equation in systems where a slow subsystem is coupled to a fast subsystem via an impurity. Such situations appear when a high-frequency Floquet-driven impurity is introduced into a low-energy…

Statistical Mechanics · Physics 2024-01-10 Friedrich Hübner

We study effects of classical magnetic impurities on the Anderson metal-insulator transition numerically. We find that a small concentration of Heisenberg impurities enhances the critical disorder amplitude $W_{\rm c}$ with increasing…

Disordered Systems and Neural Networks · Physics 2016-07-19 Daniel Jung , Keith Slevin , Stefan Kettemann

Bound states in superconductors are expected to exhibit a spatially resolved electron-hole asymmetry which is the hallmark of their quantum nature. This asymmetry manifests as oscillations at the Fermi wavelength, which is usually tiny and…

We study a generalized Anderson model that mixes two localized configurations --one formed by two degenerate doublets and the other by a triplet with single-ion anisotropy $DS_z^2$-- by means of two degenerate conduction channels. The model…

Strongly Correlated Electrons · Physics 2018-12-05 G. G. Blesio , L. O. Manuel , P. Roura-Bas , A. A. Aligia

The multi-electron wave function of an interacting electron system depends on the size of the system, i.e. the number of electrons. Here the question investigated is how the wave function changes for a symmetric Friedel-Anderson impurity…

Strongly Correlated Electrons · Physics 2012-07-12 Gerd Bergmann

It is well established that a correlated quantum impurity embedded in a metallic host can form the many-body Kondo state with itinerant electrons due to the effective antiferromagnetic coupling. Such effect is manifested spectroscopically…

Strongly Correlated Electrons · Physics 2014-02-07 M. Zapalska , T. Domanski

We study a system of an impurity spin coupled to a junction of several Tomonaga-Luttinger liquids using a renormalization group scheme. For the decoupled S-matrix at the junction, there is a range of Kondo couplings which flow to a…

Strongly Correlated Electrons · Physics 2009-11-11 V. Ravi Chandra , Sumathi Rao , Diptiman Sen

We consider an impurity in a sea of zero-temperature fermions uniformly distributed throughout the space. The impurity scatters on fermions. On average, the momentum of impurity decreases with time as $t^{-1/(d+1)}$ in $d$ dimensions, and…

Quantum Gases · Physics 2024-09-10 P. L. Krapivsky

We consider a gas of two species of fermions with population imbalance. Using the renormalization group in $d=1+\epsilon$ dimensions, we show that for spinless fermions and $\epsilon > 0$ a fixed point appears at finite attractive coupling…

Quantum Gases · Physics 2015-03-31 A. J. A. James , A. Lamacraft

Dynamic autocorrelations $<S_i^{\alpha}(t) S_i^{\alpha}>$ (\alpha=x,z) of an isolated impurity spin in a S=1/2 XX chain are calculated. The impurity spin, defined by a local change in the nearest-neighbor coupling, is either in the bulk or…

Statistical Mechanics · Physics 2009-10-31 Joachim Stolze , Michael Vogel

We analyze the Josephson current in a junction consisting of two superconductors (S) and a ferromagnetic layer (F) for arbitrary impurity concentration. In addition to non-magnetic impurities, we consider also magnetic ones and spin-orbit…

Superconductivity · Physics 2009-11-11 F. S. Bergeret , A. F. Volkov , K. B. Efetov

The Luttinger Theorem, which relates the electron density to the volume of the Fermi surface in an itinerant electron system, is taken to be one of the essential features of a Fermi liquid. The microscopic derivation of this result depends…

Strongly Correlated Electrons · Physics 2018-09-17 O. J. Curtin , Y. Nishikawa , A. C. Hewson , D. J. G. Crow
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