Kaplan David B, Sen Srimoyee
Institute for Nuclear Theory, Box 351550, University of Washington, Seattle, Washington 98195-1550, USA.
Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011-3160, USA.
Phys Rev Lett. 2020 Apr 3;124(13):131601. doi: 10.1103/PhysRevLett.124.131601.
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)×U(1) gauge theory with integer-charged fields, while the low energy spectrum consists of nontrivial topological phases supporting fractional currents, bulk anyonic excitations, and exotic phenomena such as a fractional quantum spin Hall effect. We show explicitly how fractionally charged chiral edge states emerge in the IR.
