Motivated by recent experiments, we study a quasi-one dimensional model of a Kondo lattice with Ferromagnetic coupling between the spins. Using bosonization and dynamical large-N techniques we establish the presence of a Fermi liquid and a magnetic phase separated by a local quantum critical point, governed by the Kondo breakdown picture. Thermodynamic properties are studied and a gapless charged mode at the quantum critical point is highlighted.
Ferromagnetic state in the one-dimensional Kondo lattice model
在我们最近的研究中，Phys. Rev. Lett. 108 086402（2012）中，我们揭示了在无限维反铁磁耦合的近藤晶格模型中铁磁状态的有趣特性：在铁磁金属相中，少数传导电子在费米能处形成间隙，并且不参与传输，而不管相互作用强度和填充。这种半金属态被称为自旋选择性近藤绝缘体。本文通过对一维Kondo晶格模型中的静态和动态量的密度矩阵重整化群研究，证明了自旋选择性Kondo绝缘体也可以在一维Kondo晶格模型中实现.自旋选择性Kondo绝缘体在一维和无限维中的出现无疑表明，无论系统的维数如何，这种机制对于Kondo晶格模型中的铁磁态都是非常普遍和普遍的。
Motivated by the recent discovery of ferromagnetic quantum criticality in the heavy fermion compound CeRh$_6$Ge$_4$, we develop a numerical algorithm of infinite projected entangled pair states for the anisotropic ferromagnetic Kondo-Heisenberg model in two dimensions and study the ferromagnetic quantum phase transitions with varying magnetic and hopping anisotropy. Our calculations reveal a continuous ferromagnetic quantum phase transition in the large anisotropic region and first-order quantum phase transitions for smaller anisotropy. Our results highlight the importance of magnetic anisotro…
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 complex behavior and is notoriously hard to solve. The ferromagnetic Kondo-lattice model, with a ferromagnetic coupling between the local moments, describes a phase transition from a paramagnetic phase to a ferromagnetic one as a function of either temperature or the ferromagnetic local-moment coupling. At zero temperature, this is a quantum phase transition tha…
Ferromagnetic Kondo lattice compounds are far less common than their antiferromagnetic analogs. In this work, we report the discovery of a new ferromagnetic Kondo lattice compound, YbIr3Ge7. Like almost all ferromagnetic Kondo lattice systems, YbIr3Ge7 shows magnetic order with moments aligned orthogonal to the crystal electric field (CEF) easy axis. YbIr3Ge7 is unique in that it is the only member of this class of compounds that crystallizes in a rhombohedral structure with a trigonal point symmetry of the magnetic site, and it lacks broken inversion symmetry at the local moment site. AC magn…
The experimental existence and stability of the quantum criticality point of the two-channel Kondo (2CK) effect displaying exotic non-Fermi liquid physics has been buried in persistent confusion despite the intensive theoretical and experimental efforts in past three decades. Here we report an experimental realization of the two-level system scattering-induced orbital 2CK effect in a ferromagnetic L10-MnGa film, which is signified by a magnetic field-independent resistivity upturn that has a logarithmic and square-root temperature dependence beyond and below the Kondo temperature of ~14.5 K, r…
Enhanced Anomalous Nernst Effect in the Ferromagnetic Kondo Lattice CeCo2As2
International Center for Quantum Materials, School of Physics, Peking University（北京大学物理学院量子材料国际中心）；State Key Laboratory of Quantum Functional Materials, Department of Physics, and Guangdong Basic Research Center of Excellence for Quantum Science, Southern University of Science and Technology（南方科技大学物理学院量子功能材料国家重点实验室及广东省量子科学基础研究中心）；Department of Chemistry, Michigan State University（密歇根州立大学化学系）
$^{51}$V nuclear magnetic resonance (NMR) and magnetization studies on CeTi$_{1-x}$V$_x$Ge$_3$ have been performed to explore the evolution from the ferromagnetic ($x = 0.113$) to the antiferromagnetic Kondo lattice state ($x = 1$), with focus on the emergence of a possible ferromagnetic quantum critical point (FMQCP) at $x_c \approx 0.4$. From the temperature dependence of the nuclear spin-lattice relaxation rate, $1/T_1T$, and the Knight shift, \textit{K}, for $x=0.113$ and $x=1$ a considerable competition between ferro- and antiferromagnetic correlations is found. Around the critical concen…
We report on the low-temperature physical properties of a novel compound Ce$_{11}$Pd$_4$In$_9$ that crystallizes with the orthorhombic Nd$_{11}$Pd$_4$In$_9$-type crystal structure (space group $Cmmm$). The compound exhibits ferromagnetic ordering at $T_{\rm {C}}$ = 18.6 K and an order-order transition at $T_{\rm {t}}$ $\sim$~1.6 K, as inferred from the low-temperature magnetic susceptibility, heat capacity and electrical resistivity data. In the paramagnetic region, the electrical transport in Ce$_{11}$Pd$_4$In$_9$ is dominated by Kondo effect. Below $T_{\rm {C}}$, a distinct contribution due …
The nature of 4f electron magnetism in the diluted ferromagnetic Kondo lattice, CeIr2B2
本文报道了Ce_（1-x）La_xIr_2B_2（xD 0-0.9）系列化合物的磁化强度、比热容和电阻率随温度的变化（后两种测量值低至0.7K）。CeIr_2B_2（？）5 K）的降低是由于La的替代，正如预期的那样。然而，没有量子临界点或“非费米液体”的行为，即使在x D 0：9的稀释极限观察。有趣的是，即使对于Ce 0：1 La 0：9 Ir 2 B2，低于0.8 K，铁磁有序也持续存在。在Ce体系中，CeIr_2B_2是其中直接的4f-4f相互作用似乎在磁性中不起任何作用的化合物之一，其磁性仅由间接交换相互作用控制。在该化合物中，近藤效应在铁磁有序状态下持续存在，如从熵数据推断的。
The heavy fermion ferromagnet CeRh$_6$Ge$_4$ is the first example of a clean stoichiometric system where the ferromagnetic transition can be continuously suppressed by hydrostatic pressure to a quantum critical point. In order to reveal the outcome when the magnetic lattice of CeRh$_6$Ge$_4$ is diluted with non-magnetic atoms, this study reports comprehensive measurements of the physical properties of both single crystal and polycrystalline samples of La$_x$Ce$_{1-x}$Rh$_6$Ge$_4$. With increasing $x$, the Curie temperature decreases, and no transition is observed for $x$ $>$ 0.25, while the sy…
A ferromagnetic quantum critical point is thought not to exist in two and three-dimensional metallic systems yet is realized in the Kondo lattice compound YbNi4(P,As)2, possibly due to its one-dimensionality. It is crucial to investigate the dimensionality of the Fermi surface of YbNi4P2 experimentally but common probes such as ARPES and quantum oscillation measurements are lacking. Here, we studied the magnetic field dependence of transport and thermodynamic properties of YbNi4P2. The Kondo effect is continuously suppressed and additionally we identify nine Lifshitz transitions between 0.4 an…
One initial and essential question of magnetism is whether the magnetic properties of a material are governed by localized moments or itinerant electrons. Here we expose the case for the weakly ferromagnetic system FeGa$_{3-y}$Ge$_y$ wherein these two opposite models are reconciled, such that the magnetic susceptibility is quantitatively explained by taking into account the effects of spin-spin correlation. With the electron doping introduced by Ge substitution, the diamagnetic insulating parent compound FeGa$_3$ becomes a paramagnetic metal as early as at $ y=0.01 $, and turns into a weakly f…
