Majorana Edge Modes of Superfluid ~(3)He A- and B-Phases

摘要

Motivated by a recent experiment on the superfluid ~(3)He confined in a thin slab, we discuss the Majorana edge modes under the experimental situation. We solve the quasi-classical Eilenberger equation, which is quantitatively reliable, to evaluate several observables, such as local density of states, mass current for the A-phase, and spin current for the B-phase. On the basis of the quantitative calculation, we propose several experiments to check the existence of the Majorana modes.