Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect
Mesoscale and Nanoscale Physics
2010-01-15 v2 Superconductivity
High Energy Physics - Theory
Abstract
Based on the recently proposed SUSY quantum Hall effect, we show that Laughlin and Moore-Read states are related by a hidden SUSY transformation. Regarding the SUSY Laughlin wavefunction as a master wavefunction, Laughlin and Moore-Read states appear as two extreme limits of component wavefunctions. Realizations of topological excitations on Laughlin and Moore-Read states are also discussed in the SUSY formalism. We develop a streographically projected formulation of the SUSY quantum Hall effect. With appropriate interpretation of Grassmann odd coordinates, we illustrate striking analogies between SUSY quantum Hall effect and superfluidity.
Keywords
Cite
@article{arxiv.0705.4527,
title = {Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect},
author = {Kazuki Hasebe},
journal= {arXiv preprint arXiv:0705.4527},
year = {2010}
}
Comments
5 pages, 1 figure, typos fixed