论文标题
仪表理论的热厅效应
Gauge Theories for the Thermal Hall Effect
论文作者
论文摘要
我们考虑了在2+1维中耦合到紧急量规场的费米斯物质的热厅效应。虽然散装拓扑阶段的低温热门电导率可以连接到手性边缘状态和引力异常，但在高于2+1尺寸量子临界点的非零温度下，没有这种解释。在大量物质口味的极限下，对热霍尔电导率的主要贡献是从费尔米金物质中。次要领导的贡献来自量规波动，这有一个与物质贡献相反的标志。我们通过对涉及半拓扑顺序开始的正方形抗fiferromagnet中量子相变的dirac chern-simons理论进行计算来说明这一点。我们发现了与fermi口袋耦合到出现的U（1）量规场的伪制成金属模型的相似结果。我们注意到与孔掺杂的丘比特的最新观察的联系：我们的理论捕获了主要趋势，但效果的总体幅度小于观察到的。
We consider the thermal Hall effect of fermionic matter coupled to emergent gauge fields in 2+1 dimensions. While the low-temperature thermal Hall conductivity of bulk topological phases can be connected to chiral edge states and a gravitational anomaly, there is no such interpretation at nonzero temperatures above 2+1 dimensional quantum critical points. In the limit of a large number of matter flavors, the leading contribution to the thermal Hall conductivity is that from the fermionic matter. The next-to-leading contribution is from the gauge fluctuations, and this has a sign which is opposite to that of the matter contribution. We illustrate this by computations on a Dirac Chern-Simons theory of the quantum phase transition in a square-lattice antiferromagnet involving the onset of semion topological order. We find similar results for a model of the pseudogap metal with Fermi pockets coupled to an emergent U(1) gauge field. We note connections to recent observations on the hole-doped cuprates: our theory captures the main trends, but the overall magnitude of the effect is smaller than that observed.
