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

Jia Liu; L. B. Shao; Qiang Han; Z. D. Wang

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

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arxiv 1101.3740 v4 pith:ACBWZFWU submitted 2011-01-19 cond-mat.supr-con cond-mat.mes-hallquant-ph

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 This is my paper

classification cond-mat.supr-con cond-mat.mes-hallquant-ph

keywords interactionspairingspin-orbitcouplingzeemanelectronexactmodel

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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.

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

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