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Article overview
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Majorana fermions carrying edge current in superfluid 3He A- and B-phases | | Yasumasa Tsutsumi
; Kazushige Machida
; | | Date: |
13 Mar 2012 | | Abstract: | We propose a method utilizing edge current to observe Majorana fermions in
the surface Andreev bound state for the superfluid $^3$He A- and B-phases. The
proposal is based on self-consistent analytic solutions of quasi-classical
Green’s function with an edge. Local density of states and edge mass current in
the A-phase or edge spin current in the B-phase can be obtained from these
solutions. The edge current carried by the Majorana fermions is partially
cancelled by the quasiparticles (QPs) in the continuum state outside the
superfluid gap. The QPs contributing to the edge current in the continuum state
are distributed in energy even away from the superfluid gap. The influence of
the Majorana fermions emerges into the depletion of the edge current by
temperature within a low temperature range. The observation of the reduction of
the mass current as $T^2$-power in the A-phase or that of the spin current as
$T^3$-power in the B-phase establishes the existence of the Majorana fermions.
We also point out another possibility to observe the Majorana fermions by
controlling surface roughness. | | Source: | arXiv, 1203.2722 | | Services: | Forum | Review | PDF | Favorites | |
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