# 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}
}
• Published 15 March 1993
• Physics
• Physical Review B
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
Fluctuations and magnetoresistance oscillations near the half-filled Landau level
• Physics
Physical Review B
• 2019
We study theoretically the magnetoresistance oscillations near a half-filled lowest Landau level ($\ensuremath{\nu}=1/2$) that result from the presence of a periodic one-dimensional electrostatic
The half-filled Landau level: The case for Dirac composite fermions
• Physics
Science
• 2016
Density matrix renormalization group calculations show that particle-hole symmetry is preserved in a half-filled Landau level, and observes the suppression of 2kF backscattering, a characteristic of Dirac particles, which is relevant to two-dimensional electron gases in the quantum Hall regime.
Metallic phase in a two-dimensional disordered Fermi system with singular interactions
We consider a disordered system of gapless fermions interacting with a singular transverse (2+1)-dimensional gauge-field. We study quantum corrections to fermion conductivity and show that they are
Effective mass of composite fermions and the energy gaps of quantum Hall states
The effective mass of the quasi-particles in the fermion-Chern-Simons description of the quantum Hall state at half-filling is computed for electron-electron interactions $V(r)\sim r^{x-2}$, for
Fermi Surfaces of Composite Fermions
• Physics
Journal of Low Temperature Physics
• 2020
The fractional quantum Hall (FQH) effect was discovered in two-dimensional electron systems subject to a large perpendicular magnetic field nearly four decades ago. It helped launch the field of
Fermions out of dipolar bosons in the lowest Landau level
• Physics
• 2008
In the limit of very fast rotation atomic Bose-Einstein condensates may reside entirely in the lowest two-dimensional Landau level (LLL). For small enough filling factor of the LLL, one may have
Towards a Fermi liquid theory of the state: magnetized composite fermions
The fermionic Chern - Simons approach has had remarkable success in the description of quantum Hall states at even-denominator filling fractions . In this paper we review a number of recent works