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Pairing in the quantum Hall system

Kang-Hun Ahn, K. J. Chang

cond-mat.mes-hallarXiv:cond-mat/9710125

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 field Bc(T) at temperature T, which is well represented by the relation Bc(T)/Bc(0) ≈ [1-(T/Tc)3]1/2.

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