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Fermionic Superfluidity in Three- and Two-Dimensional Solutions of 3He in 4He

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Modern trends in Superconductivity and Superfluidity

Part of the book series: Lecture Notes in Physics ((LNP,volume 874))

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Abstract

In this chapter, we will discuss fermionic superfluidity in the Fermi-Bose mixture (in the solution) of 3He in 4He both in three- and in two-dimensional case. We will present the foundations of the classical Bardeen-Baym-Pines theory [1], as well as Bashkin and Meyerovich [2] results for fermionic s-wave pairing in unpolarized 3He–4He mixtures in 3D case, as well as in 2D case for 3He submonolayers on Andreev levels [3] (which are formed on the free surface of superfluid 4He with vacuum) and on grafoil substrates [4, 5]. We also present the Fermi-gas approach to the p-wave fermionic superfluidity in 3He-subsystem based on Kohn and Luttinger [6–11] mechanism for the pairing of two 3He quasiparticles via polarization of the fermionic background.

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  1. Theoretical Department, P.L Kapitza Institute for Physical Problems, Kosygin street 2, Moscow, Russia, 119334

    M. Yu Kagan

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Kagan, M.Y. (2013). Fermionic Superfluidity in Three- and Two-Dimensional Solutions of 3He in 4He. In: Modern trends in Superconductivity and Superfluidity. Lecture Notes in Physics, vol 874. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6961-8_11

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  • DOI: https://doi.org/10.1007/978-94-007-6961-8_11

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