Path Integral for Composite Fermions in the Half-Filled 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 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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 1998
- DOI:
- 10.48550/arXiv.cond-mat/9810273
- arXiv:
- arXiv:cond-mat/9810273
- Bibcode:
- 1998cond.mat.10273W
- Keywords:
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- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- E-Print:
- 4 pages