Cheng Meng, Lutchyn Roman M, Galitski Victor, Das Sarma S
Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742, USA.
Phys Rev Lett. 2009 Sep 4;103(10):107001. doi: 10.1103/PhysRevLett.103.107001. Epub 2009 Aug 31.
We consider a two-dimensional (p(x) + ip(y)) superconductor in the presence of multiple vortices, which support zero-energy Majorana-fermion states in their cores. Intervortex tunnelings of the Majorana fermions lift the topological state degeneracy. Using the Bogoliubov-de Gennes equation, we calculate splitting of the zero-energy modes due to these tunneling events. We also discuss superconducting fluctuations and, in particular, their effect on the energy splitting.
我们考虑一个存在多个涡旋的二维（p(x) + ip(y)）超导体，这些涡旋在其核心支持零能马约拉纳费米子态。马约拉纳费米子的涡旋间隧穿消除了拓扑态简并。利用博戈留波夫 - 德热纳方程，我们计算了由于这些隧穿事件导致的零能模分裂。我们还讨论了超导涨落，特别是它们对能量分裂的影响。
