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Appearance of Fermion-Condensation Quantum Phase Transition in Fermi Systems

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Theory of Heavy-Fermion Compounds

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 182))

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Abstract

As high-\(T_c\) superconductors are represented primarily by 2D layered structures, in Sect. 5.1 we discuss the superconducting state of a 2D liquid of heavy electrons, and within the framework of Gor’kov microscopic equations construct the Green functions of the FC state. On the other hand, our study can easily be generalized to the 3D case. To show that there is no fundamental difference between the 2D and 3D cases, we derive Green’s functions for the 3D case in Sect. 5.1.1. In Sect. 5.2, we consider the dispersion law and lineshape of single-particle excitations. Section 5.3 is devoted to the behavior of heavy-electron liquid with FC in magnetic field. In Sect. 5.4, we analyze conditions which lead to the emergence of FC in Fermi systems composed of different fermions such as atoms of \(^{3}\)He and electrons.

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Authors and Affiliations

  1. Racah Institute of Physics, The Hebrew University, Jerusalem, Israel

    Miron Ya. Amusia

  2. A. F. Ioffe Physical-Technical Institute, St. Petersburg, Russian Federation

    Miron Ya. Amusia

  3. Ural Division Komi Science Center, Russian Academy of Sciences, Syktyvkar, Russia

    Konstantin G. Popov

  4. Petersburg Nuclear Physics Institute, Gatchina, Russia

    Vasily R. Shaginyan

  5. CTSPS, Clark Atlanta University, Atlanta, USA

    Vasily R. Shaginyan

  6. Institute of Physics, Opole University, Opole, Poland

    Vladimir A. Stephanovich

Authors
  1. Miron Ya. Amusia
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  2. Konstantin G. Popov
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  3. Vasily R. Shaginyan
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  4. Vladimir A. Stephanovich
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Correspondence to Miron Ya. Amusia .

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Amusia, M.Y., Popov, K.G., Shaginyan, V.R., Stephanovich, V.A. (2015). Appearance of Fermion-Condensation Quantum Phase Transition in Fermi Systems. In: Theory of Heavy-Fermion Compounds. Springer Series in Solid-State Sciences, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-319-10825-4_5

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