Exact solutions for a type of electron pairing model with spin-orbit interactions and Zeeman coupling

Physics – Condensed Matter – Superconductivity

Scientific paper

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4 pages, minor corrections made. This latest version was submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.107.026405

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.

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