论文标题

Weyl半学中分数量子厅效应的理论

Theory of the fractional quantum Hall effect in Weyl semimetals

论文作者

Thakurathi, Manisha, Burkov, A. A.

论文摘要

我们开发了三维分数量子霍尔效应的流体动力场理论,该效应最近被提议在磁性Weyl半学中存在,当时Weyl节点被强烈的排斥性相互作用所掩盖。该理论采用了BF理论的形式,该理论既包含一体式和两种规格场,并相应地耦合到准粒子和循环激发。它可以被视为二维分数量子霍尔液体的Chern-Simons理论的概括。

We develop a hydrodynamic field theory of the three-dimensional fractional quantum Hall effect, which was recently proposed to exist in magnetic Weyl semimetals, when the Weyl nodes are gapped by strong repulsive interactions. This theory takes the form of a BF theory, which contains both one-form and two-form gauge fields, coupling to quasiparticle and loop excitations correspondingly. It may be regarded as a generalization of the Chern-Simons theory of two-dimensional fractional quantum Hall liquids to three dimensions.

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