Crossover from Majorana edge- to end-states in quasi-one-dimensional p-wave superconductors
Bin Zhou, Shun-Qing Shen
DOI 10.1103/PhysRevB.84.054532 · Physical Review B
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Abstract
In a recent work [Potter and Lee, Phys. Rev. Lett. 105, 227003 (2010)], it was demonstrated by means of numerical diagonalization that the Majorana end states can be localized at opposite ends of a sample of an ideal spinless p-wave superconductor with the strip geometry beyond the strict one-dimensional limit. Here, we reexamine this issue and study the topological quantum phase transition in the same system. We give the phase diagrams of the presence of Majorana end modes by using of Z2 topological index. It is found that the topological property of a strip geometry will change in an oscillatory way with respect of the sample width.
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