Pairing symmetry transitions in the even-denominator FQHE system

Details Pairing symmetry transitions in the even-denominator FQHE system Pairing symmetry transitions in the even-denominator FQHE system

2001-07-13

arxiv.org/abs/cond-mat/0107283v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1143/JPSJ.70.3487

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 $\nu=5/2$ paired bilayer system is discussed.

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