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Edge mass current and roles of Majorana Fermions in superfluid 3He A-phase | | Yasumasa Tsutsumi
; Kazushige Machida
; | | Date: |
25 Oct 2011 | | Abstract: | The total angular momentum associated with the edge mass current flowing at
the boundary in the superfluid $^3$He A-phase confined in a disk is proved to
be $L=Nhbar/2$, consisting of $L^{
m MJ}=Nhbar$ from the Majorana
quasi-particles (QPs) and $L^{
m cont}=-Nhbar/2$ from the continuum state. We
show it based on an analytic solution of the chiral order parameter for
quasi-classical Eilenberger equation. Important analytic expressions are
obtained for mass current, angular momentum, and density of states (DOS).
Notably the DOS of the Majorana QPs is exactly $N_0/2$ ($N_0$: normal state
DOS) responsible for the factor 2 difference between $L^{
m MJ}$ and $L^{
m
cont}$. The current decreases as $E^{-3}$ against the energy $E$, and $L(T)
propto -T^2$. This analytic solution is fully backed up by numerically solving
the Eilenberger equation. We touch on the so-called intrinsic angular momentum
problem. | | Source: | arXiv, 1110.5409 | | Services: | Forum | Review | PDF | Favorites | |
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