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Majorana states and longitudinal NMR absorption in $^3$He-B film

The topological superfluid $^3$He-B supports massless Dirac spectrum of surface bound states which can be described in terms of the self-conjugated Majorana field operators. We discuss here the possible signature of surface bound states in nuclear magnetic resonance absorption spectrum in a $^3$He-B film. It is shown that transitions between different branches of the surface states spectrum lead to the non-zero absorption signal in longitudinal NMR scheme when the frequency is larger than the Larmour one.

preprint2011arXivOpen access
M. A. Silaev
cond-mat.other
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M. A. Silaev

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