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Crossovers in Unitary Fermi Systems

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The BCS-BEC Crossover and the Unitary Fermi Gas

Part of the book series: Lecture Notes in Physics ((LNP,volume 836))

Abstract

Universality and crossover is described for attractive and repulsive interactions where, respectively, the BCS–BEC and crossover takes place and a ferromagnetic phase transition is claimed. Crossovers are also described for optical lattices and multicomponent systems. The crossovers, universal parameters and phase transitions are described within the Leggett and NSR models and calculated in detail within the Jastrow-Slater approximation. The physics of ultracold Fermi atoms is applied to neutron, nuclear and quark matter, nuclei and electrons in solids whenever possible. Specifically, the differences between optical lattices and cuprates is discussed w.r.t. antiferromagnetic, d-wave superfluid phases and phase separation.

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Notes

  1. 1.

    However, no written reference has been found in the works of Bethe, Brueckner or Pandharipande so far.

  2. 2.

    Inquiring into details about their calculation some 40 years later Gorkov only remembered “...that it was a particular difficult calculation!”

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  1. Applied Research, DALO, Lautrupbjerg 1-5, DK-2750, Ballerup, Denmark

    Henning Heiselberg

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    Wilhelm Zwerger

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Heiselberg, H. (2012). Crossovers in Unitary Fermi Systems. In: Zwerger, W. (eds) The BCS-BEC Crossover and the Unitary Fermi Gas. Lecture Notes in Physics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21978-8_3

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