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By using worldline and diagrammatic quantum Monte Carlo techniques, matrix product state and a variational approach \`a la Feynman, we investigate the equilibrium properties and relaxation features of a quantum system of $N$ spins…

We predict a new type of the negative-$U$ Anderson impurity formed in a triple quantum dot. The two dots of the system behave as a negative-$U$ impurity preferring zero or double electron occupancy rather than single occupancy, and the…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Gwangsu Yoo , Jinhong Park , S. -S. B. Lee , H. -S. Sim

We discuss the two-channel Kondo problem with a pseudogap density of states, $\rho(\w)\propto|\w|^r$, of the bath fermions. Combining both analytical and numerical renormalization group techniques, we characterize the impurity phases and…

Strongly Correlated Electrons · Physics 2015-05-30 Imke Schneider , Lars Fritz , Frithjof B. Anders , Adel Benlagra , Matthias Vojta

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

In the two-impurity Anderson model, the inter-impurity spin exchange interaction favors a spin singlet state between two impurities leading to the breakdown of the Kondo effect. We show that a local uniform magnetic field can delocalize the…

Strongly Correlated Electrons · Physics 2012-08-30 Lijun Zhu , Jian-Xin Zhu

Single-electron transistors attached to ferromagnetic leads can undergo a continuous quantum phase transition as their gate voltage is tuned. The corresponding quantum critical point separates a Fermi liquid phase from a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2009-11-13 Stefan Kirchner , Qimiao Si

The pseudogap Kondo problem, describing quantum impurities coupled to fermionic quasiparticles with a pseudogap density of states, rho(omega) ~ |omega|^r, shows a rich zero-temperature phase diagram, with different screened and free moment…

Strongly Correlated Electrons · Physics 2007-05-23 Lars Fritz , Matthias Vojta

In a related work [arXiv:2106.07519] we have shown that in the two-impurity Anderson (2iA) model with two hosts coupled by spin exchange in the most symmetric case there are either two phase transitions or none. The phases comprise the…

Strongly Correlated Electrons · Physics 2023-04-04 Krzysztof P. Wójcik , Johann Kroha

Impurity moments coupled to fermions with a pseudogap density of states display a quantum phase transition between a screened and a free moment phase upon variation of the Kondo coupling. We describe the universal theory of this transition…

Strongly Correlated Electrons · Physics 2007-05-23 Matthias Vojta , Lars Fritz

We study the Kondo resonance in a spin-1/2 single impurity Anderson model with a gapless conduction band using the equation of motion approach in order to obtain the impurity spectral function. We study two different scenarios for gapless…

Strongly Correlated Electrons · Physics 2009-10-20 R. G. Dias , Lidia del Rio , A. V. Goltsev

Many-body correlations and macroscopic quantum behaviors are fascinating condensed matter problems. A powerful test-bed for the many-body concepts and methods is the Kondo model which entails the coupling of a quantum impurity to a…

Mesoscale and Nanoscale Physics · Physics 2016-02-08 Z. Iftikhar , S. Jezouin , A. Anthore , U. Gennser , F. D. Parmentier , A. Cavanna , F. Pierre

We investigate the boundary effects that arise when spin-$\frac{1}{2}$ impurities interact with the edges of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain through spin exchange interactions. We consider both cases when the…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Parameshwar R. Pasnoori , J. H. Pixley , Patrick Azaria , Natan Andrei

The Anderson impurity model is a paradigmatic example in the study of strongly correlated quantum systems and describes an interacting quantum dot coupled to electronic leads. In this work, we characterize the emergence of the Kondo effect…

Strongly Correlated Electrons · Physics 2024-03-05 Matteo M. Wauters , Chia-Min Chung , Lorenzo Maffi , Michele Burrello

We propose a minimal effective impurity model that captures the phenomenology of the Mott-Hubbard metal-insulator transition (MIT) of the half-filled Hubbard model on the Bethe lattice in infinite dimensions as observed by dynamical mean…

Strongly Correlated Electrons · Physics 2023-11-14 Abhirup Mukherjee , N. S. Vidhyadhiraja , A. Taraphder , Siddhartha Lal

We use the poor man's scaling approach to study the phase boundaries of a pair of quantum impurity models featuring a power-law density of states $\rho(\omega)\propto|\omega|^r$ that gives rise to quantum phase transitions between…

Strongly Correlated Electrons · Physics 2017-07-12 Mengxing Cheng , Tathagata Chowdhury , Aaron Mohammed , Kevin Ingersent

In this paper we give a general introduction to quantum critical phenomena, which we practically illustrate by a detailed study of the low energy properties of the spin boson model (SBM), describing the dynamics of a spin 1/2 impurity (or…

Strongly Correlated Electrons · Physics 2015-05-28 S. Florens , D. Venturelli , R. Narayanan

We study the behavior of the entropy of the pseudogap Bose-Fermi Kondo model within a dynamical large-$N$ limit, where $N$ is related to the symmetry group of the model. This model is a general quantum impurity model that describes a…

Strongly Correlated Electrons · Physics 2020-09-16 Zuodong Yu , Farzaneh Zamani , Pedro Ribeiro , Stefan Kirchner

Dilute magnetic impurities in a disordered Fermi liquid are considered close to the Anderson metal-insulator transition (AMIT). Critical Power law correlations between electron wave functions at different energies in the vicinity of the…

Strongly Correlated Electrons · Physics 2015-06-04 S. Kettemann , E. R. Mucciolo , I. Varga , K. Slevin

Quantum impurity models are prevalent throughout many body physics, providing some prime examples of strongly correlated systems. Aside from being of great interest in themselves they can provide deep insight into the effects of strong…

Strongly Correlated Electrons · Physics 2020-01-08 Parameshwar R. Pasnoori , Colin Rylands , Natan Andrei

We discuss the dynamics of magnetic moments in d-wave superconductors, in particular we focus on moments induced by doping non-magnetic impurities into cuprates. The interaction of such moments with the Bogoliubov quasiparticles of the…

Strongly Correlated Electrons · Physics 2009-11-07 Matthias Vojta , Ralf Bulla