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Motivated by the recent discovery of a continuous ferromagnetic quantum phase transition in CeRh$_6$Ge$_4$ and its distinction from other U-based heavy fermion metals such as UGe$_2$, we develop a unified explanation of their different…

Strongly Correlated Electrons · Physics 2022-04-04 Jiangfan Wang , Yi-feng Yang

The quantum phase transition between paramagnetic and antiferromagnetic phases of the Kondo lattice model with Ising anisotropy in the intersite exchange is studied within the framework of extended dynamical mean-field theory.…

Strongly Correlated Electrons · Physics 2007-12-03 Matthew T. Glossop , Kevin Ingersent

We report resistivity measurements under pressure for Kondo-lattice ferromagnet CeRh$_6$Ge$_4$, and present that a quantum ferromagnetic (FM) phase transition is easily achieved. In most clean metallic ferromagnets, a quantum critical point…

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

The Kondo-necklace model can describe magnetic low-energy limit of strongly correlated heavy fermion materials. There exist multiple energy scales in this model corresponding to each phase of the system. Here, we study quantum phase…

Strongly Correlated Electrons · Physics 2015-04-06 S. Hemmatiyan , M. Rahimi Movassagh , N. Ghassemi , M. Kargarian , A. T. Rezakhani , A. Langari

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

Within a mean-field approximation, the ground state and finite temperature phase diagrams of the two-dimensional Kondo lattice model have been carefully studied as functions of the Kondo coupling $J$ and the conduction electron…

Strongly Correlated Electrons · Physics 2016-07-19 Huan Li , Yu Liu , Guangming Zhang , Lu Yu

The anisotropic Kondo necklace model in 2D and 3D is treated as a genuine model for magnetic to Kondo singlet quantum phase transitions in the heavy fermion (HF) compounds. The variation of the quantum critical point (QCP) with anisotropy…

Strongly Correlated Electrons · Physics 2018-02-02 P. Thalmeier , A. Langari

We address the global magnetic phase diagram of Kondo lattice systems. Through the distinct Fermi surface properties of the various phases at zero temperature, we argue that the phase diagram supports two classes of quantum critical point.…

Strongly Correlated Electrons · Physics 2011-12-14 Qimiao Si

We study the quantum phase transition from an antiferromagnetic metal to a heavy fermion metal in the Kondo lattice model. Based on the strong coupling approach we {\it first} diagonalize the Kondo coupling term. Since this strong coupling…

Strongly Correlated Electrons · Physics 2009-11-11 Ki-Seok Kim , Mun Dae Kim

How ground states of quantum matter transform between one another reveals deep insights into the mechanisms stabilizing them. Correspondingly, quantum phase transitions are explored in numerous materials classes, with heavy fermion…

Strongly Correlated Electrons · Physics 2015-07-22 J. Custers , K. -A. Lorenzer , M. Müller , A. Prokofiev , A. Sidorenko , H. Winkler , A. M. Strydom , Y. Shimura , T. Sakakibara , R. Yu , Q. Si , S. Paschen

Heavy fermion compounds exhibiting a ferromagnetic quantum critical point have attracted considerable interest. Common to two known cases, i.e., CeRh$_6$Ge$_4$ and YbNi$_4$P$_2$, is that the 4f moments reside along chains with a large…

Strongly Correlated Electrons · Physics 2021-06-01 Yi Wu , Yongjun Zhang , Feng Du , Bin Shen , Hao Zheng , Yuan Fang , Michael Smidman , Chao Cao , Frank Steglich , Huiqiu Yuan , Jonathan D. Denlinger , Yang Liu

We have studied the effect of anisotropies on the quantum phase transition of the Kondo necklace model in dimensions D=1, 2 and 3. Both the anisotropy $\delta$ of the inter-site interaction term and anisotropy $\Delta$ of the on-site Kondo…

Strongly Correlated Electrons · Physics 2009-11-11 A. Langari , P. Thalmeier

The quantum phase transition from a spin-Peierls phase with a small Fermi surface to a paramagnetic Luttinger-liquid phase with a large Fermi surface is studied in the framework of a one-dimensional Kondo-Heisenberg model that consists of…

Strongly Correlated Electrons · Physics 2015-05-27 Eitan Eidelstein , S. Moukouri , Avraham Schiller

We propose a microscopic physical mechanism that stabilizes coexistence of the Kondo effect and antiferromagnetism in heavy-fermion systems. We consider a two-dimensional quantum Kondo-Heisenberg lattice model and show that long-range…

Strongly Correlated Electrons · Physics 2013-04-12 L. Isaev , I. Vekhter

The strange metal phases found to develop in a wide range of materials near a quantum critical point (QCP), have posed a long-standing mystery. The frequent association of strange metals with unconventional superconductivity and…

We study the magnetic quantum phase transition in an anisotropic Kondo lattice model. The dynamical competition between the RKKY and Kondo interactions is treated using an extended dynamic mean field theory (EDMFT) appropriate for both the…

Strongly Correlated Electrons · Physics 2009-11-10 Jian-Xin Zhu , D. R. Grempel , Qimiao Si

Strange metal behavior arises in heavy fermion metals close to antiferromagnetic transitions. An increasing amount of experiments indicates a link of such behavior to a Kondo breakdown quantum critical point. To shed light on this…

Strongly Correlated Electrons · Physics 2020-09-23 Jiangfan Wang , Yung-Yeh Chang , Chung-Yu Mou , Stefan Kirchner , Chung-Hou Chung

We consider a two-dimensional quantum spin system described by a Heisenberg model that is embedded in a three-dimensional metal. The two systems couple via an antiferromagnetic Kondo interaction. In such a setup, the ground state…

Strongly Correlated Electrons · Physics 2023-10-10 Zi Hong Liu , Bernhard Frank , Lukas Janssen , Matthias Vojta , Fakher F. Assaad

CeRh$_6$Ge$_4$ stands out as the first stoichiometric metallic compound with a ferromagnetic quantum critical point, thereby garnering significant attention. Ferromagnetic Kondo lattice compounds ReRh$_6$Ge$_4$ (Re=Ce, Ho, Er, Tm) have been…

Strongly Correlated Electrons · Physics 2026-02-04 Caiqun Wang , Yu Gao , Jun Jiang , Qiaoni Chen , Haiyan Lu , Ping Qian
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