Pairing in the quantum Hall system

Abstract

We find an analogy between the single-skyrmion state in the quantum Hall system and the BCS superconducting state and address that the quantum mechanical origin of the skyrmion is electronic pairing. The skyrmion phase is found to be unstable for magnetic fields above the critical held B-c(T) at temperature T, which is well represented by the relation B-c(T)/B-c(O) approximate to [1 - (T/T-c)(3)](1/2).