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We investigate quantum impurity problems, where a local magnetic moment is coupled to the spin density of a bosonic environment, leading to bosonic versions of the standard Kondo and Anderson impurity models. In a physical situation, these…

Strongly Correlated Electrons · Physics 2008-11-26 Serge Florens , Lars Fritz , Matthias Vojta

Quantum impurities exhibit fascinating many-body phenomena when the small interacting impurity changes the physics of a large noninteracting environment. The characterisation of such strongly correlated non-perturbative effects is…

Mesoscale and Nanoscale Physics · Physics 2023-01-16 Lidia Stocker , Stefan H. Sack , Michael S. Ferguson , Oded Zilberberg

The Kondo effect, deriving from a local magnetic impurity mediating electron-electron interactions, constitutes a flourishing basis for understanding a large variety of intricate many-body problems. Its experimental implementation in…

Mesoscale and Nanoscale Physics · Physics 2023-11-29 C. Piquard , P. Glidic , C. Han , A. Aassime , A. Cavanna , U. Gennser , Y. Meir , E. Sela , A. Anthore , F. Pierre

The vast complexity is a daunting property of generic quantum states that poses a significant challenge for theoretical treatment, especially in non-equilibrium setups. Therefore, it is vital to recognize states which are locally less…

Quantum Physics · Physics 2022-07-28 Markus Schmitt , Zala Lenarčič

We propose a versatile strategy for numerical renormalization group solution of general channel-mixing Kondo and Anderson models beyond previous reach, opening the door toward broad applications in protocol non-perturbative machineries,…

Strongly Correlated Electrons · Physics 2016-01-13 J. G. Liu , D. Wang , Q. H. Wang

We examine the quality of the local self-energy approximation, applied here to models of multiple quantum impurities coupled to an electronic bath. The local self-energy is obtained by solving a single-impurity Anderson model in an…

Strongly Correlated Electrons · Physics 2015-10-05 Andrew K. Mitchell , Ralf Bulla

We study quantum impurity models as a platform for quantum thermometry. A single quantum spin-1/2 impurity is coupled to an explicit, structured, fermionic thermal environment which we refer to as the environment or bath. We critically…

Quantum Physics · Physics 2023-05-01 George Mihailescu , Steve Campbell , Andrew K. Mitchell

A brief review is given of a new method for studying the critical behavior of quantum impurity problems, based on conformal field theory techniques, which I developed with Andreas Ludwig. Some results on the overscreened Kondo problem are…

Condensed Matter · Physics 2008-02-03 Ian Affleck

Quantum impurity models are the prototypical examples of quantum many-body dynamics which manifests in their spectral and transport properties. Single channel Anderson(and Kondo model) leads to the Fermi liquid ground state in the strong…

Strongly Correlated Electrons · Physics 2017-11-30 Rukhsan Ul Haq , Anirban Sharma

A unified perspective is given on a number of different problems involving the coupling of a localized quantum spin degree of freedom to the low energy excitations of an antiferromagnet, a spin glass, or a Kondo insulator. The problems are…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev

We apply a recently developed unsupervised machine learning scheme for local atomic environments to characterize large-scale, disordered aggregates formed by sequence-defined macromolecules. This method provides new insight into the…

Soft Condensed Matter · Physics 2023-01-03 Antonia Statt , Devon C. Kleeblatt , Wesley F. Reinhart

Using one-dimensional spin-orbital model as a typical example of quantum spin systems with richer symmetries, we study the effect of an isolated impurity on its low energy dynamics in the gapless phase through bosonization and…

Strongly Correlated Electrons · Physics 2009-10-31 Yu-Wen Lee , Yu-Li Lee

Exact results for the thermodynamic properties of ensembles of magnetic impurities with randomly distributed host-impurity couplings in the quantum antiferromagnetic Heisenberg model are presented. Exact calculations are done for arbitrary…

Condensed Matter · Physics 2009-10-31 A. Klümper , A. A. Zvyagin

The Kondo effect is a hallmark of strongly-correlated systems, where an impurity's local degrees of freedom are screened by conduction electrons, forming a many-body singlet. With increasing degrees of freedom in the impurity, theoretical…

Strongly Correlated Electrons · Physics 2026-05-15 Lidia Stocker , Oded Zilberberg

A theoretical concept is presented for the screening of several magnetic moments locally exchange coupled to conduction electrons in a metallic nanostructure. We consider a quantum confined multi-impurity Kondo model which exhibits the…

Mesoscale and Nanoscale Physics · Physics 2015-10-06 Andrej Schwabe , Mirek Hänsel , Michael Potthoff , Andrew K. Mitchell

Quantum impurity solvers are the computational bottleneck of quantum embedding approaches to correlated materials, such as dynamical mean-field theory (DMFT). We show that neural networks trained on synthetic, material-agnostic data learn…

Strongly Correlated Electrons · Physics 2026-03-25 Agnes Valenti , Ina Park , Antoine Georges , Andrew J. Millis , Olivier Parcollet

The reduced dynamics formalism has recently emerged as a powerful tool to study the dynamics of non-equilibrium quantum impurity models in strongly correlated regimes. Examples include the non-equilibrium Anderson impurity model near the…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Guy Cohen , Eli Y. Wilner , Eran Rabani

Zero temperature phase transitions not only occur in the bulk of quantum systems, but also at boundaries or impurities. We review recent work on quantum phase transitions in impurity models that are generalizations of the standard Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 R. Bulla , M. Vojta

In a number of systems, including certain semiconductors and unconventional superconductors, the effective density of states varies near the Fermi energy like $|E-E_F|^r$. The behavior of dilute magnetic impurities in such systems is…

Condensed Matter · Physics 2009-10-28 Kevin Ingersent

Whether a small quantum mechanical system is able to equilibrate with its environment once an external local perturbation drives it out of thermal equilibrium is a central question which cuts across many different fields of science. Here we…

Strongly Correlated Electrons · Physics 2012-10-10 Marco Schiró