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Parameter-free quasiclassical boundary conditions for superfluid3He at rough walls. B-phase order parameter and density of states

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Abstract

Parameter-free boundary conditions are discussed for the quasiclassical Green's functions at a rough wall. These conditions have a closed form: all information specific to the wall is eliminated under the assumption that the impurity layer covering the wall is much thicker than the mean-free path of quasiparticles. To demonstrate them in action we calculate the3He-B order parameter and the density of states, and compare them with previous work. Our main conclusion is that the new boundary conditions give qualitatively similar density of states as the “thin-impurity-layer” model, but different from that of the “randomly-rippled-wall” model. Moreover, our approach, being much simpler, allows us to resolve the fine structure of quasiparticle resonances which has not been reported earlier.

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Author notes

  1. N. B. Kopnin

    Present address: L. D. Landau Institute for Theoretical Physics, USSR Academy of Sciences, Kosygin Street 2, 117334, Moscow, USSR

  2. M. M. Salomaa

    Present address: Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, Postfach 6980, D-7500, Karlsruhe, Germany

Authors and Affiliations

  1. Low Temperature Laboratory, Helsinki University of Technology, Espoo, Finland

    N. B. Kopnin, P. I. Soininen & M. M. Salomaa

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  1. N. B. Kopnin
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  2. P. I. Soininen
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  3. M. M. Salomaa
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Kopnin, N.B., Soininen, P.I. & Salomaa, M.M. Parameter-free quasiclassical boundary conditions for superfluid3He at rough walls. B-phase order parameter and density of states. J Low Temp Phys 85, 267–282 (1991). https://doi.org/10.1007/BF00681972

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  • DOI: https://doi.org/10.1007/BF00681972

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