Hidden-symmetry decoupling of Majorana bound states in topological superconductors

作者:Dumitrescu Eugene*; Stanescu Tudor D; Tewari Sumanta
来源:Physical Review B, 2015, 91(12): 121413.
DOI:10.1103/PhysRevB.91.121413

摘要

Multiple zero-energy Majorana fermions (MFs) with spatially overlapping wave functions can survive only if their splitting is prevented by an underlying symmetry. Here we show that, in quasi-one-dimensional (Q1D) time-reversal-invariant topological superconductors (class DIII), a realistic model for superconducting lithium molybdenum purple bronze (Li0.9Mo6O17) and certain families of organic superconductors, multiple Majorana-Kramers pairs with strongly overlapping wave functions persist at zero energy even in the absence of an easily identifiable symmetry. We find that similar results hold in the case of Q1D semiconductor-superconductor heterostructures (class D) with t(perpendicular to) << t, where t(perpendicular to) and t are the transverse and longitudinal hoppings, respectively. Our results, explained in terms of special properties of the Hamiltonian and wave functions, underscore the importance of hidden accidental symmetries in topological superconductors.

  • 出版日期2015-3-25