arXiv 2012.114342020-12hep-th

AdS/CFT的Weyl半金属及其风味

A Weyl Semimetal from AdS/CFT with Flavour

Kazem Bitaghsir Fadafan, Andy O'Bannon, Ronnie Rodgers, Matthew Russell

备注：: 31 pages + appendices, 22 figure files. v2: version published in JHEP

摘要：

我们利用$(3+1)$维$\mathcal{N}=4$超对称$SU(N_c)$杨-米尔斯理论，在大$N_c$和强耦合下，耦合到具有质量$m$的若干个$\mathcal{N}=2$超多重态的$N_f \ll N_c$，构造了Weyl半金属态的自顶向下全息模型。R对称的$U(1)$子群作为轴对称作用于超多重态费米子。在一个恒定的外部轴向规范场在空间方向上，$b$的存在下，我们发现的定义特征的外尔半金属：量子相变作为$m/b$增加，从一个拓扑状态与非零异常霍尔电导率平凡绝缘体。过渡是一阶的。值得注意的是，反常霍尔电导率与超多重态质量无关，取轴向异常所决定的值。在非零温度下的过渡保持一阶，和反常霍尔电导率获得非平凡的超多重态的质量和温度的依赖。

英文摘要：

We construct a top-down holographic model of Weyl semimetal states using $(3+1)$-dimensional $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills theory, at large $N_c$ and strong coupling, coupled to a number $N_f \ll N_c$ of $\mathcal{N}=2$ hypermultiplets with mass $m$. A $U(1)$ subgroup of the R-symmetry acts on the hypermultiplet fermions as an axial symmetry. In the presence of a constant external axial gauge field in a spatial direction, $b$, we find the defining characteristic of a Weyl semi-metal: a quantum phase transition as $m/b$ increases, from a topological state with non-zero anomalous Hall conductivity to a trivial insulator. The transition is first order. Remarkably, the anomalous Hall conductivity is independent of the hypermultiplet mass, taking the value dictated by the axial anomaly. At non-zero temperature the transition remains first order, and the anomalous Hall conductivity acquires non-trivial dependence on the hypermultiplet mass and temperature.

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英文摘要：

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