English

Fractional quantum Hall states as an Abelian group

Strongly Correlated Electrons 2015-02-02 v2 High Energy Physics - Theory

Abstract

We show that the set of double-layer Fractional Quantum Hall (FQH) states with a given topological order form a finite Abelian group under a new product. This group structure makes it possible to construct new FQH states from known ones. We also introduce a new index which can be used to characterize the topological order of FQH states.

Keywords

Cite

@article{arxiv.1403.7080,
  title  = {Fractional quantum Hall states as an Abelian group},
  author = {Ali Nassar},
  journal= {arXiv preprint arXiv:1403.7080},
  year   = {2015}
}

Comments

9 pages

R2 v1 2026-06-22T03:36:09.487Z