Proximity effect between a dirty Fermi liquid and superfluid 3He

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dc.creatorHigashitani, S.
dc.creatorNagato, Y.
dc.creatorNagai, K.
dc.date2009-01-13
dc.date.accessioned2026-07-07T12:28:56Z
dc.date.available2026-07-07T12:28:56Z
dc.descriptionThe proximity effect in superfluid $^3$He partly filled with high porosity aerogel is discussed. This system can be regarded as a dirty Fermi liquid/spin-triplet p-wave superfluid junction. Our attention is mainly paid to the case when the dirty layer is in the normal state owing to the impurity pair-breaking effect by the aerogel. We use the quasiclassical Green's function to determine self-consistently the spatial variations of the p-wave order parameter and the impurity self-energy. On the basis of the fully self-consistent calculation, we analyze the spatial dependence of the pair function (anomalous Green's function). The spin-triplet pair function has in general even-frequency odd-parity and odd-frequency even-parity components. We show that the admixture of the even- and odd-frequency pairs occurs near the aerogel/superfluid $^3$He-B interface. Among those Cooper pairs, only the odd-frequency s-wave pair can penetrate deep into the aerogel layer. As a result, the proximity-induced superfluidity in a thick aerogel layer is dominated by the Cooper pair with the odd-frequency s-wave symmetry. We also analyze the local density of states and show that it has a characteristic zero-energy peak reflecting the existence of the odd-frequency s-wave pair, in agreement with previous works using the Usadel equation.
dc.description15 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0901.1755
dc.identifierhttp://arxiv.org/abs/0901.1755
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215708
dc.subjectSuperconductivity
dc.titleProximity effect between a dirty Fermi liquid and superfluid 3He
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