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A technically convenient signature of Anderson localization is exponential decay of the fractional moments of the Green function within appropriate energy ranges. We consider a random Hamiltonian on a lattice whose randomness is generated…

Mathematical Physics · Physics 2015-05-20 Alexander Elgart , Martin Tautenhahn , Ivan Veselic'

We investigate the effect of coupling between translational and internal degrees of freedom of composite quantum particles on their localization in a random potential. We show that entanglement between the two degrees of freedom weakens…

Quantum Physics · Physics 2021-10-13 Fumika Suzuki , Mikhail Lemeshko , Wojciech H. Zurek , Roman V. Krems

We present a formalism for strongly correlated systems with fermions coupled to bosonic modes. We construct the three-particle irreducible functional $\mathcal{K}$ by successive Legendre transformations of the free energy of the system. We…

Strongly Correlated Electrons · Physics 2016-06-22 Thomas Ayral , Olivier Parcollet

In the Renormalised Perturbation Theory (RPT) the Anderson impurity model is interpreted in terms of renormalised parameters $\boldsymbol{\tilde{\mu}}= (\tilde{\epsilon}_d, \tilde{\Delta}, \tilde{U})$ which are in a one-to-one…

Strongly Correlated Electrons · Physics 2015-08-19 Vassilis Pandis , Alex C. Hewson

Limited resources motivate decomposing large-scale problems into smaller,``local" subsystems and stitching together the so-found solutions. We explore the physics underlying this approach and discuss the concept of ``local hardness", i.e.,…

Disordered Systems and Neural Networks · Physics 2025-12-24 Mutian Shen , Gerardo Ortiz , Zhiqiao Dong , Martin Weigel , Zohar Nussinov

Central to condensed matter physics are quantum impurity models, which describe how a local degree of freedom interacts with a continuum. Surprisingly, these models are often universal in that they can quantitatively describe many outwardly…

Mesoscale and Nanoscale Physics · Physics 2014-03-04 A. J. Keller , S. Amasha , I. Weymann , C. P. Moca , I. G. Rau , J. A. Katine , Hadas Shtrikman , G. Zaránd , D. Goldhaber-Gordon

We analyze the consequences of a first-order (in the effective Kondo coupling) inter-impurity correlation present in the Two-Impurity Anderson Hamiltonian. This correlation generates a pair of Kondo Doublet states which are responsible for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Simonin

A generalized Anderson model for a magnetic impurity in an interacting one-dimensional electron gas is studied via a mapping onto a classical Coulomb gas. For weak potential scattering, the local-moment parameter regime expands as repulsive…

Condensed Matter · Physics 2009-10-28 Avraham Schiller , Kevin Ingersent

The two-level model for a double quantum dot coupled to two leads, which is ubiquitously used to describe charge oscillations, transmission-phase lapses and correlation-induced resonances, is considered in its general form. The model…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vyacheslavs Kashcheyevs , Avraham Schiller , Amnon Aharony , Ora Entin-Wohlman

We investigate the paramagnetic periodic Anderson model using the dynamical mean-field theory in combination with the modified perturbation theory which interpolates between the weak and strong coupling limits. For the symmetric PAM, the…

Strongly Correlated Electrons · Physics 2009-10-31 D. Meyer , W. Nolting

We analyze the effects of high energy configurations on the Kondo-doublet interaction between two Anderson impurities. We found that the Kondo doublet states are robust and that their coherence energy is incremented by the inclusion of high…

Mesoscale and Nanoscale Physics · Physics 2007-10-16 J. Simonin

A recently developed continuous time solver based on an expansion in hybridization about an exactly solved local limit is reformulated in a manner appropriate for general classes of quantum impurity models including spin exchange and pair…

Strongly Correlated Electrons · Physics 2009-11-11 Philipp Werner , Andrew J. Millis

A central feature of the Periodic Anderson Model is the competition between antiferromagnetism, mediated by the Ruderman-Kittel-Kasuya-Yosida interaction at small conduction electron-local electron hybridization $V$, and singlet formation…

Strongly Correlated Electrons · Physics 2016-08-24 Ali Benali , Zhaojun Bai , Nicholas J. Curro , Richard T. Scalettar

A versatile and efficient variational approach is developed to solve in- and out-of-equilibrium problems of generic quantum spin-impurity systems. Employing the discrete symmetry hidden in spin-impurity models, we present a new canonical…

Strongly Correlated Electrons · Physics 2018-07-13 Yuto Ashida , Tao Shi , Mari Carmen Bañuls , J. Ignacio Cirac , Eugene Demler

We elaborate on the principle that for gapped quantum spin systems with local interaction "local perturbations [in the Hamiltonian] perturb locally [the ground state]". This principle was established in [Bachmann et al. 2012], relying on…

Mathematical Physics · Physics 2015-06-30 Wojciech De Roeck , Marius Schütz

The wavefunction method provides us with a useful tool to describe electron correlations in solids at the ground state. In this paper we review the recent development of the momentum-dependent local ansatz wavefunction (MLA). It is…

Strongly Correlated Electrons · Physics 2015-06-22 Yoshiro Kakehashi , Sumal Chandra , Derwyn Rowlands , M. Atiqur R. Patoary

In this work we analyze the nonequilibrium transport through a quantum impurity (quantum dot or molecule) attached to ferromagnetic leads by using a hybrid numerical renormalization group-time-dependent density matrix renormalization group…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Anand Manaparambil , Andeas Weichselbaum , Jan von Delft , Ireneusz Weymann , .

We examine the effect of a nonmagnetic impurity in a two-dimensional spin liquid in the spin-gap phase, employing a drone-fermion representation of spin-1/2 operators. The properties of the local moment induced in the vicinity of the…

Strongly Correlated Electrons · Physics 2009-10-30 G. Khaliullin , R. Kilian , S. Krivenko , P. Fulde

Correlated electron physics is intrinsically a multiscale problem, since high-energy electronic states screen the interactions between the correlated electrons close to the Fermi level, thereby reducing the magnitude of the interaction…

Strongly Correlated Electrons · Physics 2025-11-06 Anton Pauli , Akshat Mishra , Malte Rösner , Erik G. C. P. van Loon

We propose a self-consistent approximate solution of the disordered Kondo-lattice model (KLM) to get the interconnected electronic and magnetic properties of 'local-moment' systems like diluted ferromagnetic semiconductors. Aiming at…

Materials Science · Physics 2009-11-13 V. Bryksa , W. Nolting