Degeneracy of Majorana bound states and fractional Josephson effect in a dirty SNS junction

Degeneracy of Majorana bound states and fractional Josephson effect in a dirty SNS junction
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脏 SNS 连接中马约拉纳束缚态的简并和分数约瑟夫森效应

DOI:
10.1088/0953-8984/28/37/375702
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发表时间:
2016
期刊:
Journal of Physics: Condensed Matter
影响因子:
--
通讯作者:
Y. Asano
Y. Asano
中科院分区:
--
文献类型:
--
作者:
S. Ikegaya;Y. Asano

文献摘要

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利用哈密顿量的手征对称性,研究了二维p波超导体/脏正常金属/p波超导体结中多个Majorana费米子的稳定性.当结的相位差φ为π时,我们将证明正常金属中所有的Majorana束缚态都具有相同的手征性。由于这种纯手性特征,马约拉纳束缚态即使在随机势的存在下也保持其在零能量下的高度简并性。因此,库珀对通过简并马约拉纳束缚态的共振传输携带约瑟夫森电流,
We theoretically study the stability of more than one Majorana fermion appearing in a p-wave superconductor/dirty normal metal/p-wave superconductor junction in two-dimensions by using the chiral symmetry of a Hamiltonian. At the phase difference across the junction φ being π, we will show that all of the Majorana bound states in the normal metal belong to the same chirality. Due to this pure chiral feature, the Majorana bound states retain their high degree of degeneracy at zero energy even in the presence of a random potential. As a consequence, the resonant transmission of a Cooper pair via the degenerate Majorana bound states carries the Josephson current at