English

Pairing in the quantum Hall system

Mesoscale and Nanoscale Physics 2009-10-30 v1

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)B_{c}(T) at temperature TT, which is well represented by the relation Bc(T)/Bc(0)[1(T/Tc)3]1/2B_c(T)/B_{c}(0) \approx {[1-(T/T_c)^3]}^{1/2}.

Keywords

Cite

@article{arxiv.cond-mat/9710125,
  title  = {Pairing in the quantum Hall system},
  author = {Kang-Hun Ahn and K. J. Chang},
  journal= {arXiv preprint arXiv:cond-mat/9710125},
  year   = {2009}
}

Comments

revtex, two figures, to appear in Phys. Rev. B (Rapid Communications)

R2 v1 2026-07-22T12:00:05.680Z