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Exact Solutions for a Type of Electron Pairing Model with Spin-Orbit Interactions and Zeeman Coupling

2011/01/31 by Jia Liu, Qiang Han, L. B. Shao +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1103/physrevlett.107.026405

published as Phys. Rev. Lett. 107, 026405 (2011) · 4 pages, minor corrections made. This latest version was submitted to Phys. Rev. Lett

arxiv created 2011/03/25 · openalex publication_date 2011/07/08 · arxiv updated 2011/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A type of electron pairing model with spin-orbit interactions or Zeeman coupling is solved exactly in the framework of the Richardson ansatz. Based on the exact solutions for the case with spin-orbit interactions, it is shown rigorously that the pairing symmetry is of the p + ip wave and the ground state possesses time-reversal symmetry, regardless of the strength of the pairing interaction. Intriguingly, how Majorana fermions can emerge in the system is also elaborated. Exact results are illustrated for two systems, respectively, with spin-orbit interactions and Zeeman coupling.

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