Path Integral for Composite Fermions in the HalfFilled Lowest Landau Level
Abstract
We consider electrons in two dimensions in a strong magnetic field at half filling of the lowest Landau level using the ChernSimons approach. Starting from a lattice Hamiltonian for the electrons, we derive a path integral (PI) formulation for the composite fermions (CF) which respects the order of the operators. We use a time lattice with intermediate times in order to have a PI expressed in density fluctuations. This formulation reveals that there is no infrared (IR) singularity in the grandcanonical potential in lowest order perturbation theory.
 Publication:

arXiv eprints
 Pub Date:
 October 1998
 DOI:
 10.48550/arXiv.condmat/9810273
 arXiv:
 arXiv:condmat/9810273
 Bibcode:
 1998cond.mat.10273W
 Keywords:

 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 4 pages