Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect

Details Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect

2007-05-31

arxiv.org/abs/0705.4527v2

Phys.Lett.A372:1516-1520, 2008

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 figure, typos fixed

Scientific paper

10.1016/j.physleta.2007.09.071

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.

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