Paired states on a torus
Mesoscale and Nanoscale Physics
2009-11-07 v1 High Energy Physics - Theory
Abstract
We analyze the modular properties of the effective CFT description for paired states, proposed in cond-mat/0003453, corresponding to the non-standard filling nu =1/(p+1). We construct its characters for the twisted and the untwisted sector and the diagonal partition function. We show that the degrees of freedom entering our partition function naturally go to complete a Z_2-orbifold construction of the CFT for the Halperin state. Different behaviours for the p even and p odd cases are also studied. Finally it is shown that the tunneling phenomenon selects out a twist invariant CFT which is identified with the Moore-Read model.
Cite
@article{arxiv.cond-mat/0204575,
title = {Paired states on a torus},
author = {G. Cristofano and G. Maiella and V. Marotta and G. Niccoli},
journal= {arXiv preprint arXiv:cond-mat/0204575},
year = {2009}
}
Comments
24 pages, 1 figure, Latex