Majorana fermions and odd-frequency Cooper pairs in a normal-metal nanowire proximity-coupled to a topological superconductor
Yasuhiro Asano, Yukio Tanaka
DOI 10.1103/PhysRevB.87.104513 · Physical Review B
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Abstract
We discuss a strong relationship between Majorana fermions and odd-frequency Cooper pairs which appear at a disordered normal (N) nanowire attached to a topologically nontrivial superconducting (S) one. The transport properties in superconducting nanowire junctions show universal behaviors irrespective of the degree of disorder: the quantized zero-bias differential conductance at 2e2/h in NS junction and the fractional current-phase (J−φ) relationship of the Josephson effect in SNS junction J∝sin(φ/2). Such behaviors are exactly the same as those found in the anomalous proximity effect of odd-parity spin-triplet superconductors. We show that the odd-frequency pairs exist wherever the Majorana fermions stay.
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