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arXiv · 1101.3740

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

Jia Liu·Qiang Han·L. B. Shao·Z. D. Wang
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Abstract

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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Jia Liu, Qiang Han, L. B. Shao, Z. D. Wang. 2011-03-25. Exact solutions for a type of electron pairing model with spin-orbit interactions and Zeeman coupling. https://doi.org/10.1103/physrevlett.107.026405

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