English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We propose a method utilizing edge current to observe Majorana fermions inthe surface Andreev bound state for the superfluid $^3$He A- and B-phases. Theproposal is based on self-consistent analytic solutions of quasi-classicalGreen's function with an edge. The local density of states and edge masscurrent in the A-phase or edge spin current in the B-phase can be obtained fromthese solutions. The edge current carried by the Majorana fermions is partiallycancelled by quasiparticles (QPs) in the continuum state outside the superfluidgap. QPs contributing to the edge current in the continuum state aredistributed in energy even away from the superfluid gap. The effect of Majoranafermions emerges in the depletion of the edge current by temperature within alow-temperature range. The observations that the reduction in the mass currentis changed by $T^2$-power in the A-phase and the reduction in the spin currentis changed by $T^3$-power in the B-phase establish the existence of Majoranafermions. We also point out another possibility for observing Majorana fermionsby controlling surface roughness.

Edge Current due to Majorana Fermions in Superfluid $^3$He A- and B-Phases