Path Integral for Composite Fermions in the Half-Filled Lowest Landau Level
Mesoscale and Nanoscale Physics
2007-05-23 v1
Abstract
We consider electrons in two dimensions in a strong magnetic field at half filling of the lowest Landau level using the Chern-Simons 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 grand-canonical potential in lowest order perturbation theory.
Keywords
Cite
@article{arxiv.cond-mat/9810273,
title = {Path Integral for Composite Fermions in the Half-Filled Lowest Landau Level},
author = {W. Weller and J. Dietel and Th. Koschny and W. Apel},
journal= {arXiv preprint arXiv:cond-mat/9810273},
year = {2007}
}
Comments
4 pages