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arXiv 1908.11700cond-mat.str-el
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YbRh2Si2中场诱导级联Lifshitz跃迁的输运谱

Transport Spectroscopy of the Field Induced Cascade of Lifshitz Transitions in YbRh2Si2

Alexandre Pourret, Sergei G. Sharapov, Tatsuma D. Matsuda, Georg Knebel, Gertrud Zwicknagl, Andrey A. Varlamov

摘要:

在9.5~ 13 T范围内的磁场作用下,在重费米子化合物YbRh $_2$ Si $_2$中观察到一系列热电势的强反常现象。我们确定这些功能与复杂的费米表面的这种化合物,即级联的Lifshitz拓扑转换的拓扑变换序列。为了毫无疑问地将这些异常归因于费米面的特定拓扑变化,我们采用重整化能带方法。在此基础上,我们提出了一个简化的模型,它由大的周边费米面片和连续出现(消失)的小“空洞”或“颈”的数量组成。我们占的费米面的各个组件之间的多个电子散射过程,计算相应的散射时间,并最终找到的磁场依赖的塞贝克系数。所得到的解析表达式合理地再现了观察到的位置的最大值和最小值以及整体线的形状,并允许我们识别相应的拓扑变换的字符。

英文摘要:

A series of strong anomalies in the thermoelectric power is observed in the heavy fermion compound YbRh$_2$Si$_2$ under the effect of magnetic field varying in the range from 9.5~T to 13~T. We identify these features with a sequence of topological transformations of the sophisticated Fermi surface of this compound, namely a cascade of Lifshitz topological transitions. In order to undoubtedly attribute these anomalies to the specific topological changes of the Fermi surface, we employ the renormalized band method. Basing on its results we suggest a simplified model consisting of the large peripheral Fermi surface sheet and the number of continuously appearing (disappearing) small "voids" or "necks". We account for the multiple electron scattering processes between various components of the Fermi surface, calculate the corresponding scattering times, and, finally, find the magnetic field dependence of the Seebeck coefficient. The obtained analytical expression reproduces reasonably the observed positions of the maxima and minima as well as the overall line shapes and allows us to identify the character of corresponding topological transformations.

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