Low Energy Effective Hamiltonian for the Fractional Quantum Hall Effect

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A low energy effective Hamiltonian for the fractional quantum Hall effect is obtained by using irreducible representations of the symmetry group. It is found that the model described by the effective Hamiltonian is similar to the Heisenberg spin chain. Symmetries of the effective Hamiltonian are studied in order to decompose the relevant Hilbert space. This decomposition will be useful for further numerical analysis on the gap of the quantum Hall system.
5 pages

Keywords

Mesoscale and Nanoscale Physics, Strongly Correlated Electrons

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/29267

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9905013
 http://arxiv.org/abs/cond-mat/9905013

Collections

arXiv