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arXiv 2109.05993hep-thcond-mat.str-el
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全息照相的Weyl- $\mathrm{Z}_2$半金属

A Weyl-$\mathrm{Z}_2$ semimetal from holography

Xuanting Ji, Yan Liu, Ya-Wen Sun, Yun-Long Zhang

摘要:

我们提出了弱耦合Weyl- $\mathrm{Z}_2$半金属的有效场论,以及强耦合情况下的全息实现。在这两种情况下,反常体系同时具有手征反常和$\mathrm{Z}_2$反常,并具有从Weyl- $\mathrm{Z}_2$半金属相到部分或完全拓扑平凡相的拓扑量子相变.我们发现拓扑相变的特征是反常的输运参数,即反常的霍尔电导和$\mathrm{Z}_2$反常的霍尔电导.这两个参数在Weyl- $\mathrm{Z}_2$半金属相不为零,在拓扑平凡相为零。在全息情况下,讨论了两种反常输运系数之间的不同行为。我们的工作揭示了强相互作用的Weyl- $\mathrm{Z}_2$半金属的新相结构。

英文摘要:

We present effective field theories for the weakly coupled Weyl-$\mathrm{Z}_2$ semimetal, as well as the holographic realization for the strongly coupled case. In both cases, the anomalous systems have both the chiral anomaly and the $\mathrm{Z}_2$ anomaly and possess topological quantum phase transitions from the Weyl-$\mathrm{Z}_2$ semimetal phases to partly or fully topological trivial phases. We find that the topological phase transition is characterized by the anomalous transport parameters, i.e. the anomalous Hall conductivity and the $\mathrm{Z}_2$ anomalous Hall conductivity. These two parameters are nonzero at the Weyl-$\mathrm{Z}_2$ semimetal phase and vanish at the topologically trivial phases. In the holographic case, the different behavior between the two anomalous transport coefficients is discussed. Our work reveals the novel phase structure of strongly interacting Weyl-$\mathrm{Z}_2$ semimetal with two pairs of nodes.

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