1. Entanglement Entropy of Quantum Hall Systems at Half Filling
- Author
-
Balusek, C., Friedman, B. A., Levine, G. C., and Luna, D.
- Subjects
Condensed Matter - Strongly Correlated Electrons - Abstract
The entanglement entropy of $\nu=1/2$ and $\nu=9/2$ quantum Hall states in the presence of short range disorder has been calculated by direct diagonalization. Spin polarized electrons are confined to a single Landau level and interact with long range Coulomb interaction. For $\nu=1/2$ the entanglement entropy is a smooth monotonic function of disorder strength. For $\nu=9/2$ the entanglement entropy is non monotonic suggestive of a solid-liquid phase transition. As a model of the transition at $\nu=1/2$ free fermions with disorder in 2 dimensions were studied. Numerical evidence suggests the entanglement entropy scales as $L$ rather than the $L \ln{L}$ as in the disorder free case., Comment: 8 pages, 9 figures; added references
- Published
- 2012