Fractional quantum Hall effect in a relativistic field theory

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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Cited by in corpus (6)

• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Chern insulator transitions with Wilson fermions on a hyperrectangular lattice
• Chiral fermions on lattice axion strings
• Misconceptions on Effective Field Theories and spontaneous symmetry breaking: Response to Ellis' article
• The BPHZL renormalization of a planar quantum electrodynamics up to 2-loops and beyond
• The spectrum consistency of fractional quantum Hall effect model