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In non-Kramers Kondo systems with a quadrupolar degrees of freedom, an ordinary magnetic Kondo effect can compete with the quadrupolar Kondo effect. We discuss such competition keeping Pr$T_{2}$Zn$_{20}$ ($T$=Ir, Rh) and Pr$T_{2}$Al$_{20}$…

Strongly Correlated Electrons · Physics 2016-06-22 Hiroaki Kusunose

Orbital degrees of freedom in condensed matters could play important roles in forming a variety of exotic electronic states by interacting with conduction electrons. In 4f electron systems, because of strong intra-atomic spin-orbit…

Strongly Correlated Electrons · Physics 2016-08-24 T. Onimaru , K. Izawa , K. T. Matsumoto , T. Yoshida , Y. Machida , T. Ikeura , K. Wakiya , K. Umeo , S. Kittaka , K. Araki , T. Sakakibara , T. Takabatake

Entanglement of spin and orbital Kondo effect is investigated on the basis of a Kondo-type exchange model with twofold orbital degeneracy. By using Wilson's numerical renormalization-group method, we examine dynamical and thermal properties…

Strongly Correlated Electrons · Physics 2009-10-31 Hiroaki Kusunose , Yoshio Kuramoto

To identify what types of non-Fermi liquid (NFL) behavior are most likely to occur in cubic metals due to doublet impurities, we derive every cubic symmetry-allowed, NFL, Kondo-type exchange coupling that does not need accidental degeneracy…

Strongly Correlated Electrons · Physics 2025-11-25 Anna I. Toth , Andrew D. Huxley

A scaling consideration of the Kondo lattices is performed with account of singularities in the spin excitation spectral function. It is shown that a non-Fermi-liquid (NFL) behavior between two critical values of the bare $s-f$ coupling…

Strongly Correlated Electrons · Physics 2009-10-31 V. Yu. Irkhin , M. I. Katsnelson

A scenario for the formation of symmetry protected non-Fermi-liquid (NFL) Kondo effect (KE) with spin variable enumerating Kondo channels is suggested and worked out. In doubly occupied symmetric triple quantum dot within parallel geometry,…

Strongly Correlated Electrons · Physics 2015-06-11 T. Kuzmenko , K. Kikoin , Y. Avishai

We have studied the quadrupolar Kondo effect for an impurity in cubic environment with taking account of a singlet excited state $\Gamma_1$, which models a $\mathrm{Pr}^{3+}$ ion with a non-Kramers double ground state $\Gamma_3$. We have…

Strongly Correlated Electrons · Physics 2024-03-12 Yuki Kaneko , Hirokazu Tsunetsugu

Stimulated by anomalous behaviors found in non-Kramers $f$-electron systems in an applied magnetic field, we study a two-channel Kondo lattice model by using a cluster extension of the dynamical mean-field theory combined with the…

Strongly Correlated Electrons · Physics 2020-10-21 Koji Inui , Yukitoshi Motome

The Kondo effect in a Tomonaga-Luttinger liquid ($U<<t$) is studied by using the non-Abelian bosonization. The $q=2k_F$ enhanced spin fluctuations generate a special Kondo effect, for any sign of the exchange coupling $J_K$…

Strongly Correlated Electrons · Physics 2007-05-23 K. Le Hur

We study a realistic Kondo model for crystal field quartet ground states having magnetic and non-magnetic (quadrupolar) exchange couplings with conduction electrons, using the numerical renormalization group method. We focus on a local…

Strongly Correlated Electrons · Physics 2009-10-31 Mikito Koga

Scaling equations for the Kondo lattice in the paramagnetic and magnetically ordered phases are derived to two-loop order with account of spin dynamics. The results are applied to describe various mechanisms of the non-Fermi-liquid (NFL)…

Strongly Correlated Electrons · Physics 2016-06-22 V. Yu. Irkhin

We study a magnetic field effect on the Non-Fermi Liquid (NFL) which arises around the quantum critical point (QCP) due to the competition between the f^2-crystalline-electric-field singlet and the Kondo-Yosida singlet states by using the…

Strongly Correlated Electrons · Physics 2015-05-20 Shinya Nishiyama , Hiroyasu Matsuura , Kazumasa Miyake

Electrical resistivity $\rho(T)$ and specific heat $C(T)$ measurements have been made on the diluted 4$f^2$ system Y(Pr)Ir$_2$Zn$_{20}$. Both data of $\rho$ and magnetic specific heat $C_{\rm m}$ per Pr ion are well scaled as a function of…

Strongly Correlated Electrons · Physics 2018-08-22 Y. Yamane , T. Onimaru , K. Wakiya , K. T. Matsumoto , K. Umeo , T. Takabatake

To clarify a key role of $f$ orbitals in the emergence of antiferro-quadrupole structure in PrPb$_{3}$, we investigate the ground-state property of an orbital-degenerate Kondo lattice model by numerical diagonalization techniques. In…

Strongly Correlated Electrons · Physics 2015-05-13 Hiroaki Onishi , Takashi Hotta

Heavy fermion metals hosting multipolar local moments set a new stage for exploring exotic spin-orbital entangled quantum phases. In such systems, the quadrupolar Kondo effect serves as the key ingredient in the orbital-driven non-Fermi…

Strongly Correlated Electrons · Physics 2020-01-14 Mingxuan Fu , Akito Sakai , Naoki Sogabe , Masaki Tsujimoto , Yosuke Matsumoto , Satoru Nakatsuji

Our single crystal study reveals that PrTr2Al20 (Tr = Ti and V) provides the first examples of a cubic {\Gamma}3 nonmagnetic ground doublet system that shows the Kondo effect including a -ln T dependent resistivity. The {\Gamma}3…

Strongly Correlated Electrons · Physics 2015-03-19 Akito Sakai , Satoru Nakatsuji

We show that a Kondo-type model with an orbital degeneracy has a new non-Fermi-liquid fixed point. Near the fixed point the spin degrees of freedom are completely quenched, and the residual charge degrees of freedom lead to the…

Strongly Correlated Electrons · Physics 2009-10-31 Hiroaki Kusunose , Yoshio Kuramoto

Effects of magnetic field on the quadrupolar ordering are investigated with inclusion of fluctuation of order parameters. For the simplest model with the nearest-neighbor quadrupolar interaction, the transition temperature and the specific…

Strongly Correlated Electrons · Physics 2009-10-30 Noboru Fukushima , Yoshio Kuramoto

We investigate the competition between superconductivity, charge-ordering, magnetic-ordering, and the Kondo effect in a heavy fermion $s$-wave superconductor described by a Kondo lattice model with an attractive on-site Hubbard interaction.…

Strongly Correlated Electrons · Physics 2018-11-13 Benedikt Lechtenberg , Robert Peters , Norio Kawakami

Orbital two-channel Kondo (2CK) effect is one of the crucial systems with non- Fermi liquid (NFL) behaviors. But the full three-regime transport evidence has never been observed in one sample. Here, all three-resistive regimes for the…

Strongly Correlated Electrons · Physics 2024-10-25 Chunhao Bao , Xiaolong Yin , Jifeng Shao , Longxiang Li , Zhiyue Li , Xiaoming Ma , Shu Guo , Tingyong Chen
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