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arXiv · 1911.11292

Fractional quantum Hall effect in a relativistic field theory

David B. Kaplan·Srimoyee Sen
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Abstract

We construct a class of 2+1 dimensional relativistic quantum field theories which exhibit the Fractional Quantum Hall Effect in the infrared, both in the continuum and on the lattice. The UV completion consists of a perturbative $U(1)\times U(1)$ gauge theory with only integer-charged fields, while the low energy spectrum consists of nontrivial topological phases supporting fractional currents, fractionally charged chiral surface modes and bulk anyonic excitations. Exotic phenomena such as a Fractional Quantum Spin Hall Effect can arise in such models.

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David B. Kaplan, Srimoyee Sen. 2019-11-26. Fractional quantum Hall effect in a relativistic field theory. https://doi.org/10.1103/physrevlett.124.131601

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