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Fermi Liquid with Fermion Condensate

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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

Here we discuss the general properties of FCQPT leading to the emergence of FC. We present a microscopic derivation of the main equations of FC, and show that Fermi systems with FC form an entirely new class of Fermi liquids with its own topological structure, protecting the FC state. We construct the phase diagram, and explore the order parameter of these systems. We show that the fermion condensate has a strong impact on the observable physical properties of systems, where it is realized, up to relatively high temperatures of a few tens kelvin. Two different scenarios of the quantum critical point (QCP), a zero-temperature instability of the Landau state, related to the divergence of the effective mass, are also investigated. Flaws of the standard scenario of the QCP, where this divergence is attributed to the occurrence of some second–order phase transition, are demonstrated.

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Author information

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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Corresponding author

Correspondence to Miron Ya. Amusia .

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Amusia, M.Y., Popov, K.G., Shaginyan, V.R., Stephanovich, V.A. (2015). Fermi Liquid with Fermion Condensate. 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_3

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