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This article briefly reviews three topics related to the quantum critical behavior of certain heavy-fermion systems. First, we summarize an extended dynamical mean-field theory for the Kondo lattice, which treats on an equal footing the…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , J. Lleweilun Smith , Kevin Ingersent

Antiferromagnetic heavy fermion metals close to their quantum critical points display a richness in their physical properties unanticipated by the traditional approach to quantum criticality, which describes the critical properties solely…

Strongly Correlated Electrons · Physics 2015-05-14 Stefan Kirchner , Qimiao Si

Strange metals appear in a wide range of correlated materials. Electronic localization-delocalization and the expected loss of quasiparticles characterize beyond-Landau metallic quantum critical points and the associated strange metals.…

Strongly Correlated Electrons · Physics 2023-08-29 Chia-Chuan Liu , Silke Paschen , Qimiao Si

We investigate the continuous quantum phase transition from an antiferromagnetic metal to a heavy fermion liquid based on the Kondo lattice model in two dimensions. We propose that antiferromagnetic spin fluctuations and conduction…

Strongly Correlated Electrons · Physics 2016-08-31 Ki-Seok Kim

Recent studies of heavy-fermion systems with tunable quantum fluctuations have focused on a variety of zero-temperature phase transitions that involve not only the onset of magnetic order but also the destruction of Kondo entanglement.…

Strongly Correlated Electrons · Physics 2016-03-15 Emilian M. Nica , Kevin Ingersent , Qimiao Si

Quantum phase transitions (QPTs) arise as a result of competing interactions in a quantum many-body system. Kondo lattice models, containing a lattice of localized magnetic moments and a band of conduction electrons, naturally feature such…

Strongly Correlated Electrons · Physics 2015-05-20 Qimiao Si

Quantum criticality that goes beyond the Landau framework of order-parameter fluctuations is playing a central role in elucidating the behavior of strange metals. A prominent case appears in Kondo lattice systems, which have been…

Strongly Correlated Electrons · Physics 2022-07-19 Haoyu Hu , Qimiao Si

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

The breakdown of the lattice Kondo effect in local-moment metals can lead to non-trivial forms of quantum criticality and a variety of non-Fermi-liquid phases. Given indications that Kondo-breakdown transitions involve criticality not only…

Strongly Correlated Electrons · Physics 2022-12-20 Pedro M. Cônsoli , Matthias Vojta

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

Pyrochlore systems ($A_{2}B_{2}O_{7}$) with $A$-site rare-earth local moments and $B$-site $5d$ conduction electrons offer excellent material platforms for the discovery of exotic quantum many-body ground states. Notable examples include…

Strongly Correlated Electrons · Physics 2019-05-01 Hanbit Oh , Sangjin Lee , Yong Baek Kim , Eun-Gook Moon

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 investigate the behavior of the periodic Anderson model in the presence of $d$-$f$ Coulomb interaction ($U_{df}$) using mean-field theory, variational calculation, and exact diagonalization of finite chains. The variational approach…

Strongly Correlated Electrons · Physics 2013-04-01 I. Hagymasi , K. Itai , J. Solyom

Quantum criticality beyond the Landau paradigm represents a fundamental problem in condensed matter and statistical physics. Heavy fermion systems with multipolar degrees of freedom can play an important role in the search for its universal…

Strongly Correlated Electrons · Physics 2018-07-25 Hsin-Hua Lai , Emilian M. Nica , Wen-Jun Hu , Shou-Shu Gong , Silke Paschen , Qimiao Si

The continuous quantum phase transition and the nature of quantum critical point (QCP) in a modified Kondo lattice model with Ising anisotropic exchange interactions is studied within the density-matrix renormalization group algorithm. We…

Strongly Correlated Electrons · Physics 2018-06-20 W. Zhu , Jian-xin Zhu

In quantum critical heavy fermion systems, local moments are coupled to both collective spin fluctuations and conduction electrons. As such, the Bose-Fermi Kondo model, describing the coupling of a local moment to both a bosonic and a…

Strongly Correlated Electrons · Physics 2019-08-02 Ang Cai , Qimiao Si

The identification of magnetic quantum critical points in heavy fermion metals has provided an ideal setting for experimentally studying quantum criticality. Motivated by these experiments, considerable theoretical efforts have recently…

Strongly Correlated Electrons · Physics 2007-05-23 Qimiao Si , Jian-Xin Zhu , D. R. Grempel

Heavy fermion metals typically exhibit unconventional quantum critical point or quantum critical phase at zero temperature due to competition of Kondo effect and magnetism. Previous theories were often based on certain local type of…

Strongly Correlated Electrons · Physics 2021-10-12 Jiangfan Wang , Yi-feng Yang

Magnetic and charge susceptibilities in the Kondo lattice are derived by the continuous-time quantum Monte Carlo (CT-QMC) method combined with the dynamical mean-field theory. For a weak exchange coupling J and near half filling of the…

Strongly Correlated Electrons · Physics 2009-03-18 Junya Otsuki , Hiroaki Kusunose , Yoshio Kuramoto

Considerable efforts have been made in recent years to theoretically understand quantum phase transitions in Kondo lattice systems. A particular focus is on Kondo destruction, which leads to quantum criticality that goes beyond the Landau…

Strongly Correlated Electrons · Physics 2014-08-14 Qimiao Si , J. H. Pixley , Emilian Nica , Seiji J. Yamamoto , Pallab Goswami , Rong Yu , Stefan Kirchner
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