Department of Physics and Center of Theoretical and Computational Physics, the University of Hong Kong, Pokfulam Road, Hong Kong, China.
Phys Rev Lett. 2011 Jul 8;107(2):026405. doi: 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 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.
一种具有自旋轨道相互作用或塞曼耦合的电子配对模型,在 Richardson 假设的框架内被精确求解。基于具有自旋轨道相互作用的情况的精确解,我们严格地表明,配对对称性为 p + ip 波,并且无论配对相互作用的强度如何,基态都具有时间反演对称性。有趣的是,还阐述了系统中如何出现马约拉纳费米子。分别对具有自旋轨道相互作用和塞曼耦合的两个系统进行了精确计算。