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Strongly correlated Fermi systems are among the most intriguing, best experimentally studied and fundamental systems in physics. These are, however, in defiance of theoretical understanding. The ideas based on the concepts like Kondo…

Strongly Correlated Electrons · Physics 2010-02-22 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov

The Kondo-lattice model, which couples a lattice of localized magnetic moments to conduction electrons, is often used to describe heavy-fermion systems. Because of the interplay between Kondo physics and magnetic order it displays very…

Strongly Correlated Electrons · Physics 2017-08-24 T. R. Kirkpatrick , D. Belitz

We investigate metamagnetic transitions in models for heavy fermions by considering the doped Kondo lattice model in two dimensions. Results are obtained within the framework of dynamical mean field and dynamical cluster approximations.…

Strongly Correlated Electrons · Physics 2012-08-08 M. Bercx , F. F. Assaad

Heavy fermion systems represent one of the paradigmatic strongly correlated states of matter. They have been used as a platform for investigating exotic behavior ranging from quantum criticality and non-Fermi liquid behavior to…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 Viliam Vaňo , Mohammad Amini , Somesh Chandra Ganguli , Guangze Chen , Jose L. Lado , Shawulienu Kezilebieke , Peter Liljeroth

We review recent work on the instability of the heavy Fermi liquid state (FL) of the Kondo lattice towards a magnetic metal in which the local moments are not part of the Fermi sea. Using insights drawn from the theory of deconfined quantum…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Subir Sachdev , Matthias Vojta

The existence of multiple energy scales is regarded as a signature of the Kondo breakdown mechanism for explaining the quantum critical behavior of certain heavy fermion compounds, like YbRh$_{2}$Si$_{2}$. The nature of the intermediate…

Strongly Correlated Electrons · Physics 2012-04-13 Minh-Tien Tran , A. Benlagra , C. Pépin , Ki-Seok Kim

Strong electron correlations can give rise to extraordinary properties of metals with renormalized quasiparticles which are at the basis of Landau's Fermi liquid theory. Near a quantum critical point, these quasiparticles can be destroyed…

Strongly Correlated Electrons · Physics 2018-09-05 S. Seiro , L. Jiao , S. Kirchner , S. Hartmann , S. Friedemann , C. Krellner , C. Geibel , Q. Si , F. Steglich , S. Wirth

We address the phenomenon of critical Kondo destruction in pseudogap Bose-Fermi Anderson and Kondo quantum impurity models. These models describe a localized level coupled both to a fermionic bath having a density of states that vanishes…

Strongly Correlated Electrons · Physics 2013-12-31 J. H. Pixley , Stefan Kirchner , Kevin Ingersent , Qimiao Si

We have theoretically studied the effect of disorder on ultracold alkaline-earth atoms governed by the Kondo lattice model in an optical lattice via simplified double-well model and hybridization mean-field theory. Disorder-induced…

Quantum Gases · Physics 2014-12-10 Bo-Nan Jiang , Jun Qian , Wen-Li Wang , Juan Du , Yu-Zhu Wang

The phase diagram of the two-channel Kondo lattice model is examined with a Quantum Monte Carlo simulation in the limit of infinite dimensions. Commensurate (and incommensurate) antiferromagnetic and superconducting states are found. The…

Condensed Matter · Physics 2009-10-28 Mark Jarrell , Hanbin Pang , D. L. Cox

We consider the Fermi surface inside the antiferromagnetic ordered region of a Kondo lattice system in an arbitrary dimension higher than one. We establish the existence of ${\rm AF_S}$, an antiferromagnetic phase whose Fermi surface is…

Strongly Correlated Electrons · Physics 2009-11-13 Seiji J. Yamamoto , Qimiao Si

Novel electronic phenomena frequently form in heavy fermions as a consequence of the mutual nature of localization and itineracy of f electrons. On the magnetically ordered side of the heavy fermion phase diagram, f moments are expected to…

Using exact-diagonalization techniques supplemented by a Dyson equation embedding procedure, the transport properties of multilevel quantum dots are investigated in the Kondo regime. The conductance can be decomposed into the contributions…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. A. Büsser , G. B. Martins , K. A. Al-Hassanieh , Adriana Moreo , Elbio Dagotto

Quantum phase transitions in metals are often accompanied by violations of Fermi liquid behavior in the quantum critical regime. Particularly fascinating are transitions beyond the Landau-Ginzburg-Wilson concept of a local order parameter.…

Strongly Correlated Electrons · Physics 2010-10-01 Matthias Vojta

Quantum critical systems derive their finite temperature properties from the influence of a zero temperature quantum phase transition. The paradigm is essential for understanding unconventional high-Tc superconductors and the non-Fermi…

Mesoscale and Nanoscale Physics · Physics 2015-10-09 A. J. Keller , L. Peeters , C. P. Moca , I. Weymann , D. Mahalu , V. Umansky , G. Zaránd , D. Goldhaber-Gordon

These lecture notes give a brief introduction to heavy fermion physics, emphasizing aspects of particular modern interest. Following an introduction to the Kondo effect and the phenomenology of heavy fermions, the article introduces Kondo…

Strongly Correlated Electrons · Physics 2017-04-17 Piers Coleman

The Kondo volume collapse describes valence transitions in f-electron metals, and is characterized by a line of first order transitions in the pressure-temperature phase plane terminated at critical end points. We analyze the quantum…

Strongly Correlated Electrons · Physics 2010-05-11 M. Dzero , M. R. Norman , I. Paul , C. Pepin , J. Schmalian

Many correlated metallic materials are described by Landau Fermi-liquid theory at low energies, but for Hund metals the Fermi-liquid coherence scale $T_{\text{FL}}$ is found to be surprisingly small. In this Letter, we study the simplest…

Strongly Correlated Electrons · Physics 2020-04-08 Y. Wang , E. Walter , S. -S. B. Lee , K. M. Stadler , J. von Delft , A. Weichselbaum , G. Kotliar

We have studied the antiferromagnetic quantum phase transition of a 2D Kondo-Heisenberg square lattice using the non-linear sigma model. A renormalization group analysis of the competing Kondo -- RKKY interaction was carried out to 1-loop…

Strongly Correlated Electrons · Physics 2013-11-04 T. Tzen Ong , B. A. Jones

We study the deconfined quantum critical point of the Kondo-Heisenberg lattice in three dimensions using a fermionic representation for the localized spins. The mean-field phase diagram exhibits a zero temperature quantum critical point…

Strongly Correlated Electrons · Physics 2015-06-25 I. Paul , C. Pepin , M. R. Norman
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