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

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.

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

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• Tunable interfaces for realizing universal quantum computation with topological qubits
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• Solid argon as a possible substrate for quasi-freestanding silicene
• Hamiltonian quantum simulation with bounded-strength controls
• Revealing Majorana Fermion states in a superfluid of cold atoms subject to a harmonic potential
• Topological quantum phase transitions and edge states in spin-orbital coupled Fermi gases
• Resolving different pairing states in Weyl superconductors through the single-particle spectrum
• Charge-impurity-induced Majorana fermions in topological superconductors
• Majorana Fermions in Semiconducting Nanowires on the Top of Fulde-Ferrell Superconductor