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The symmetric Anderson model for a single impurity coupled to two leads is studied at strong interaction using the GW approximation within the $\sigma G \sigma W$ formalism. We find that the low energy properties show universal scaling…

Materials Science · Physics 2015-05-20 Catalin D. Spataru

We review a systematic many-body method capable of describing Fermi liquid and Non-Fermi liquid behavior of quantum impurity models at low temperatures on the same footing. The crossover to the high temperature local moment regime is…

Strongly Correlated Electrons · Physics 2007-05-23 J. Kroha , P. Wölfle

In this paper we consider a multi band extension to the periodic Anderson model. We use a single site DMFT(NRG) in order to study the impact of the conduction band mediated effective hopping of the correlated electrons between the…

Strongly Correlated Electrons · Physics 2024-09-04 Fabian Eickhoff , Frithjof B. Anders

Recent experiments support that the magic-angle graphene can be modeled by a periodic array of correlated quantum impurities, immersed in a Dirac sea. This work analytically tackles a spin-valley Anderson impurity, featuring a general…

Strongly Correlated Electrons · Physics 2026-01-27 Yi-Jie Wang , Geng-Dong Zhou , Hyunsung Jung , Seongyeon Youn , Seung-Sup B. Lee , Zhi-Da Song

We investigate static and dynamical ground-state properties of the two-impurity Anderson model at half filling in the limit of vanishing impurity separation using the dynamical density-matrix renormalization group method. In the…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Nishimoto , Thomas Pruschke , Reinhard M. Noack

We apply recently developed 1/(N-1) expansion to a particle-hole asymmetric SU(N) Anderson model with finite Coulomb interaction U. To leading order in 1/(N-1) it describes the Hartree-Fock random phase approximation (HF-RPA), and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Akira Oguri

We investigate physical properties of an Anderson impurity embedded in the bulk of a topological insulator. The slave-boson mean-field approximation is used to account for the strong electron correlation at the impurity. Different from the…

Strongly Correlated Electrons · Physics 2013-05-21 Hai-Feng Lu , Hai-Zhou Lu , Shun-Qing Shen , Tai-Kai Ng

We solve the two-channel Anderson impurity model using the Bethe-Ansatz. We determine the ground state and derive the thermodynamics, obtaining the impurity entropy and specific heat over the full range of temperature. We show that the low…

Strongly Correlated Electrons · Physics 2007-05-23 C. J. Bolech , N. Andrei

We present a novel approximation scheme for the treatment of strongly correlated electrons in arbitrary crystal lattices. The approach extends the well-known dynamical mean field theory to include nonlocal two-site correlations of arbitrary…

Strongly Correlated Electrons · Physics 2012-04-16 Torben Jabben , Norbert Grewe , Sebastian Schmitt

We study non-equilibrium current fluctuations through a quantum dot, which includes a ferromagnetic Hund's rule coupling $J$, in the low-energy Fermi liquid regime using the renormalized perturbation theory. The resulting cumulant for the…

Mesoscale and Nanoscale Physics · Physics 2012-06-28 Rui Sakano , Yunori Nishikawa , Akira Oguri , Alex C. Hewson , Seigo Tarucha

We show that the two-impurity Anderson model exhibits an additional quantum critical point at infinitely many specific distances between both impurities for an inversion symmetric one-dimensional dispersion. Unlike the quantum critical…

Strongly Correlated Electrons · Physics 2018-08-24 Benedikt Lechtenberg , Fabian Eickhoff , Frithjof B. Anders

We develop an efficient method to calculate the third-order corrections to the self-energy of the hole-doped two-dimensional Hubbard model in space-time representation. Using the Dyson equation we evaluate the renormalized spectral function…

Strongly Correlated Electrons · Physics 2009-10-31 V. Zlatic , B. Horvatic , B. Dolicki , S. Grabowski , P. Entel , K. -D. Schotte

We study the low-energy behavior of the vertex function of a single Anderson impurity away from half-filling for finite magnetic fields, using the Ward identities with careful consideration of the anti-symmetry and analytic properties. The…

Strongly Correlated Electrons · Physics 2020-07-23 Akira Oguri , A. C. Hewson

We study the localization properties of a disordered tight-binding Hamiltonian on a generic bipartite lattice close to the band center. By means of a fermionic replica trick method, we derive the effective non-linear $\sigma$-model…

Disordered Systems and Neural Networks · Physics 2009-10-31 Michele Fabrizio , Claudio Castellani

We explain in this paper how a meaningful irrelevant perturbation theory around the infra-red (strong coupling) fixed point can be carried out for integrable quantum impurity problems. This is illustrated in details for the spin 1/2 Kondo…

Condensed Matter · Physics 2009-10-31 F. Lesage , H. Saleur

Quantum systems can be used as probes in the context of metrology for enhanced parameter estimation. In particular, the delicacy of critical systems to perturbations can make them ideal sensors. Arguably the simplest realistic probe system…

Quantum Physics · Physics 2024-07-04 George Mihailescu , Abolfazl Bayat , Steve Campbell , Andrew K. Mitchell

Whether or not a physical property can be enhanced in an inhomogeneous system compared with its homogeneous counterpart is an intriguing fundamental question. We provide a concrete example with positive answer by uncovering a remarkable…

Strongly Correlated Electrons · Physics 2020-08-19 Mi Jiang

We use the Matsubara functional renormalization group (FRG) to describe electronic correlations within the single impurity Anderson model. In contrast to standard FRG calculations, we account for the frequency-dependence of the two-particle…

Strongly Correlated Electrons · Physics 2009-11-13 C. Karrasch , R. Hedden , R. Peters , Th. Pruschke , K. Schönhammer , V. Meden

A new approach is applied to the 1D Anderson model by making use of a two-dimensional Hamiltonian map. For a weak disorder this approach allows for a simple derivation of correct expressions for the localization length both at the center…

Disordered Systems and Neural Networks · Physics 2009-10-31 F. M. Izrailev , S. Ruffo , L. Tessieri

We develop a unified theoretical framework for the anisotropic Kondo model and the boundary sine-Gordon model. They are both boundary integrable quantum field theories with a quantum-group spin at the boundary which takes values,…

Condensed Matter · Physics 2009-10-28 P. Fendley , F. Lesage , H. Saleur