论文标题

两阶段多极顺序和费米表面重建的量子杂质模型

Quantum impurity model for two-stage multipolar ordering and Fermi surface reconstruction

论文作者

Schultz, Daniel J., Han, SangEun, Kim, Yong Baek

论文摘要

巡回电子系统中对量子相变和关键现象的分类和理解是量子材料研究中的出色问题。对具有高级多极局部力矩的重型费米昂系统的最新实验为研究此类问题提供了一个新的平台。特别是,对$ \ text {ce} _ {3} \ text {pd} _ {20} \ text {(si,ge)} _ {6} $通过两个连续的磁场驱动量子相转换显示新颖的量子关键行为。在每个过渡时,霍尔电阻率的衍生物都不连接,这归因于顺序的费米表面重建。在这一发现的启发下,我们考虑了一个有效的量子杂质模型的流动电子模型,该模型与$ \ text {ce}^{3+} $ ions产生的局部偶极,四极矩和八度极矩。使用重新归一化组的分析,我们证明了两阶段的多极排序和费米表面重建,这取决于多极矩参与费米表面以及其他矩的其他矩是通过昆多破坏而解耦。

Classification and understanding of quantum phase transitions and critical phenomena in itinerant electron systems are outstanding questions in quantum materials research. Recent experiments on heavy fermion systems with higher-rank multipolar local moments provide a new platform to study such questions. In particular, experiments on $\text{Ce}_{3}\text{Pd}_{20}\text{(Si,Ge)}_{6}$ show novel quantum critical behaviors via two consecutive magnetic field-driven quantum phase transitions. At each transition, the derivative of the Hall resistivity jumps discontinuously, which was attributed to sequential Fermi surface reconstructions. Motivated by this discovery, we consider an effective quantum impurity model of itinerant electrons coupled to local dipolar, quadrupolar, and octupolar moments arising from $\text{Ce}^{3+}$ ions. Using renormalization group analyses, we demonstrate that two-stage multipolar ordering and Fermi surface reconstruction arise depending on which multipolar moments participate in the Fermi surface and which other moments are decoupled via Kondo destruction.

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