PreprintarXiv licencearXiv
A Solvable Model in the Half-filled Landau Level
Abstract
A solvable microscopic model of interacting electrons in a half-filled Landau level is presented. The Hamiltonian is a well-defined limit of the electron-electron interaction. The low energy sector consists of a set of independent, spatially interlaced, one-dimensional systems of non-interacting fermionic dipoles, each system with a Fermi sea ground state. The total number of dipoles in the set of Fermi seas forming the two-dimensional ground state equals the number of electrons in the system and the density of states at the Fermi level is that of a two-dimensional Fermi gas. The model is obtained by generalizing, or rather adopting, the existing exact solution on a thin, but not too thin, torus to the two-dimensional bulk case.
Related
- Escaping the Composite Fermi Sea: An Incompressible State at Half Filling in Graphene's Lowest Landau Level
- Magnetic Couplings in Half-Filled Bipartite Graphs
- The half-filled optical Su-Schrieffer-Heeger-Hubbard model with uniaxial strain
- Localization Transitions in a Half-Filled Helical Aubry-André Model
- Gaussian-Bond Hall Viscosity and Nonlocal Hall Response of a Sampled Landau Level
BibTeX
@misc{karlhede2026solvable,
title = {{A Solvable Model in the Half-filled Landau Level}},
author = {Anders Karlhede},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15471},
eprint = {2610.15471},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15471},
}
RIS
TY - UNPB
TI - A Solvable Model in the Half-filled Landau Level
AU - Anders Karlhede
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.15471
UR - https://arxiv.org/abs/2610.15471
AB - A solvable microscopic model of interacting electrons in a half-filled Landau level is presented. The Hamiltonian is a well-defined limit of the electron-electron interaction. The low energy sector consists of a set of independent, spatially interlaced, one-dimensional systems of non-interacting fermionic dipoles, each system with a Fermi sea ground state. The total number of dipoles in the set of Fermi seas forming the two-dimensional ground state equals the number of electrons in the system and the density of states at the Fermi level is that of a two-dimensional Fermi gas. The model is obtained by generalizing, or rather adopting, the existing exact solution on a thin, but not too thin, torus to the two-dimensional bulk case.
ER -