Exact solutions for a type of electron pairing model with spin-orbit   interactions and Zeeman coupling
  A type of electron pairing model with spin-orbit interactions or Zeeman coupling is solved exactly in the framework of Richardson ansatz. Based on the exact solutions for the case with spin-orbit interactions, it is shown rigorously that the pairing order parameter has always the $p+ip$-wave symmetry regardless of the strength of pairing interaction, justifying an important conclusion obtained by the mean field theory. Analytical results are derived for two simple systems with respectively spin-orbit interactions and Zeeman coupling. 
Jia Liu, Qiang Han, L. B. Shao, Z. D. Wang
cond-mat.supr-con cond-mat.mes-hall quant-ph