Pairing symmetry transitions in the even-denominator FQHE system
Abstract
Transitions from a paired quantum Hall state to another quantum Hall state in bilayer systems are discussed in the framework of the edge theory. Starting from the edge theory for the Haldane-Rezayi state, it is shown that the charging effect of a bilayer system which breaks the SU(2) symmetry of the pseudo-spin shifts the central charge and the conformal dimensions of the fermionic fields which describe the pseudo-spin sector in the edge theory. This corresponds to the transition from Haldane-Rezayi state to Halperin's 331 state, or singlet d-wave to triplet p-wave ABM type paired state in the composite fermion picture. Considering interlayer tunneling, the tunneling rate-capacitance phase diagram for the paired bilayer system is discussed.
Cite
@article{arxiv.cond-mat/0107283,
title = {Pairing symmetry transitions in the even-denominator FQHE system},
author = {Kentaro Nomura and Daijiro Yoshioka},
journal= {arXiv preprint arXiv:cond-mat/0107283},
year = {2016}
}