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In this paper we study the competition between the Kondo effect and RKKY interactions near the zero-temperature quantum critical point of an Ising-like metallic spin-glass. We consider the mean-field behaviour of various physical…

Condensed Matter · Physics 2009-10-28 Anirvan M. Sengupta , Antoine Georges

The question of a possible quantum critical point lying inside of a superconducting phase is central for understanding unconventional superconductivity. In various unconventional superconductors, non-Fermi-liquid/'strange-metal' $T^{n}$…

Superconductivity · Physics 2026-04-17 W. Knafo , T. Thebault , K. Somesh , G. Lapertot , G. Knebel , D. Braithwaite , D. Aoki

Notable non-Fermi liquid and quantum critical behaviors are observed in rare-earth metallic systems with non-Kramers local moments supporting a number of different multipolar moments. A prominent example is…

Strongly Correlated Electrons · Physics 2022-11-24 SangEun Han , Daniel J. Schultz , Yong Baek Kim

Heavy electron metals on the verge of a quantum phase transition to magnetism show a number of unusual non-fermi liquid properties which are poorly understood. This article discusses in a general way various theoretical aspects of this…

Strongly Correlated Electrons · Physics 2009-11-11 T. Senthil

A quantum critical point arises at a continuous transformation between distinct phases of matter at zero temperature. Studies in antiferromagnetic heavy fermion materials have revealed that quantum criticality has several classes, with an…

Strongly Correlated Electrons · Physics 2014-08-15 Yongkang Luo , Leonid Pourovskii , S. E. Rowley , Yuke Li , Chunmu Feng , Antoine Georges , Jianhui Dai , Guanghan Cao , Zhu'an Xu , Qimiao Si , N. P. Ong

Considerable evidence exists for the failure of the traditional theory of quantum critical points (QCPs), pointing to the need to incorporate novel excitations. The destruction of Kondo entanglement and the concomitant critical Kondo effect…

Strongly Correlated Electrons · Physics 2007-05-23 Stefan Kirchner , Lijun Zhu , Qimiao Si , D. Natelson

We discuss the realization of the quantum-critical non-Fermi liquid state, originally discovered within the two-impurity Kondo model, in double quantum-dot systems. Contrary to the common belief, the corresponding fixed point is robust…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gergely Zarand , Chung-Hou Chung , Pascal Simon , Matthias Vojta

In the high temperature cuprate superconductors, the pervasiveness of anomalous electronic transport properties suggests that violation of conventional Fermi liquid behavior is closely tied to superconductivity. In other classes of…

Strongly Correlated Electrons · Physics 2012-06-13 N. P. Butch , K. Jin , K. Kirshenbaum , R. L. Greene , J. Paglione

We study the temperature dependence of the electrical resistivity in a system composed of critical spin chains interacting with three dimensional conduction electrons and driven to criticality via an external magnetic field. The relevant…

Strongly Correlated Electrons · Physics 2018-04-18 Laura Classen , Igor Zaliznyak , Alexei Tsvelik

The standard description of quantum critical points takes into account only fluctuations of the order parameter, and treats quantum fluctuations as extra dimensions of classical fluctuations. This picture can break down in a qualitative…

Strongly Correlated Electrons · Physics 2007-05-23 Qimiao Si

We investigate the magnetic quantum phase-transitions in bulk correlated metals at the level of dynamical mean-field theory. To this end, we focus on the Hubbard model on a simple cubic lattice as a function of temperature and electronic…

Strongly Correlated Electrons · Physics 2024-09-09 S. Adler , D. R. Fus , M. O. Malcolms , A. Vock , K. Held , A. A. Katanin , T. Schäfer , A. Toschi

We compute the leading behavior of the uniform magnetic susceptibility, $\chi$, of a Fermi liquid near an antiferromagnetic transition with dynamic exponent $z=2$. Our calculation clarifies the role of triangular ``anomaly'' graphs in the…

Condensed Matter · Physics 2009-10-22 L. B. Ioffe , A. J. Millis

Motivated by recent experimental realizations of polar metals with broken inversion symmetry, we explore the emergence of strong correlations driven by criticality when the polar transition temperature is tuned to zero. Overcoming…

Strongly Correlated Electrons · Physics 2020-07-21 Pavel A. Volkov , Premala Chandra

Recently, in high-T_c superconductors (HTSC), exciting measurements have been performed revealing their physics in superconducting and pseudogap states and in normal one induced by the application of magnetic field, when the transition from…

Superconductivity · Physics 2009-02-17 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov , V. A. Stephanovich

The method of the quantum kinetic equation is applied to the problem of renormalization of the conductivity of normal metals by gauge electron-electron interactions. It is shown that in the three-dimensional case the relativistic…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko , Michael Reizer

We have studied the evolution of the weakly first order antiferromagnetic transition in heavy fermion Yb$_3$Pt$_4$ using a combination of specific heat, magnetic susceptibility, and electrical resistivity experiments. We show that magnetic…

Strongly Correlated Electrons · Physics 2008-12-08 M. C. Bennett , D. A. Sokolov , M. S. Kim , Y. Janssen , Y. Yiu , W. J. Gannon , M. C. Aronson

We consider quantum critical points (QCP) in which quantum fluctuations associated with charge rather than magnetic order induce unconventional metallic properties. Based on finite-T calculations on a two-dimensional extended Hubbard model…

Strongly Correlated Electrons · Physics 2015-05-18 Laura Cano-Cortes , Jaime Merino , Simone Fratini

We analyze quantum Monte Carlo data in the vicinity of the quantum transition between a Neel state and a quantum paramagnet in a two-layer, square lattice spin 1/2 Heisenberg antiferromagnet. The real-space correlation function and the…

Condensed Matter · Physics 2016-08-31 Anders W. Sandvik , Andrey V. Chubukov , Subir Sachdev

We discuss three different scenarios recently proposed to account for the non-Fermi liquid behavior near antiferromagnetic (AFM) quantum critical points in heavy-Fermion systems: (i) scattering of Fermi liquid quasiparticles by strong spin…

Strongly Correlated Electrons · Physics 2009-10-31 A. Rosch

In the strong coupling limit, an effective resonant level model is derived for the spin-1 underscreened Kondo impurity model. A local quantum critical behavior is induced by the formation of a bound state with partially screened magnetic…

Strongly Correlated Electrons · Physics 2007-05-23 Guang-Ming Zhang , Lu Yu