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

References in corpus (3)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• A Unified Conformal Field Theory Description of Paired Quantum Hall States
• The Haldane-Rezayi Quantum Hall State and Magnetic Flux

Cited by in corpus (1)

• Matrix Product State Description and Gaplessness of the Haldane-Rezayi State