# Theory of the half-filled Landau level.

@article{Halperin1993TheoryOT, title={Theory of the half-filled Landau level.}, author={Bertrand I. Halperin and Patrick A. Lee and Nicholas Read}, journal={Physical Review B}, year={1993}, volume={47}, pages={7312-7343} }

A two-dimensional electron system in an external magnetic field, with Landau-level filling factor \ensuremath{\nu}=1/2, can be transformed to a mathematically equivalent system of fermions interacting with a Chern-Simons gauge field such that the average effective magnetic field acting on the fermions is zero. If one ignores fluctuations in the gauge field, this implies that for a system with no impurity scattering, there should be a well-defined Fermi surface for the fermions. When gauge…

## 709 Citations

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