Theory of the fractional quantum Hall effect in Weyl semimetals

• DOI: 10.1103/physrevb.101.235168
• Publication Date: 2020-06-29T20:02:54Z
• Authors: Manisha Thakurathi; A. A. Burkov
• Keywords: Condensed Matter - Strongly Correlated Electrons; Strongly Correlated Electrons (cond-mat.str-el); 0103 physical sciences; FOS: Physical sciences; 01 natural sciences

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 nodes are gapped by strong repulsive interactions. This takes form BF theory, contains both one-form and two-form gauge fields, coupling quasiparticle loop excitations correspondingly. It may be regarded as generalization Chern-Simons two-dimensional liquids three dimensions.