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Journal of Low Temperature Physics

, Volume 175, Issue 1–2, pp 420–426 | Cite as

Analytic Self-Consistent Condensates in Quasi-1D Superfluid Fermi Gases in the Andreev Approximation

  • Giacomo Marmorini
  • Ryosuke Yoshii
  • Shunji Tsuchiya
  • Muneto Nitta
Article
  • 111 Downloads

Abstract

We present an analytic method to approach Eilenberger equation and the associated Bogoliubov–de Gennes equation for quasi-1D fermionic gases. The problem of finding self-consistent inhomogeneous condensates is reduced to solving a certain class of nonlinear Schrödinger equations, whose most general solitonic solution is indeed available. Previously known solutions can be retrieved by taking appropriate limits in the parameters. The applicability of the method extends to systems with population imbalance and subject to external potential. In particular we show that fermionic zero-modes are robust against population imbalance.

Keywords

Superfluidity BdG equation Analytic solution Soliton 

Notes

Acknowledgements

The work of GM is supported by a RIKEN FPR fellowship. The work of MN is supported in part by a Grant-in-Aid for Scientific Research (No. 25400268) and by the “Topological Quantum Phenomena” Grant-in-Aid for Scientific Research on Innovative Areas (No. 25103720) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan. ST was supported by Grant-in-Aid for Scientific Research, No. 24740276. R. Y. is the Yukawa Fellow and this work is partially supported by Yukawa Memorial Foundation.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Giacomo Marmorini
    • 1
    • 5
  • Ryosuke Yoshii
    • 2
    • 5
  • Shunji Tsuchiya
    • 3
  • Muneto Nitta
    • 4
    • 5
  1. 1.Condensed Matter Theory Lab, RIKENSaitamaJapan
  2. 2.Yukawa Institute of Theoretical PhysicsKyoto University, Kitashirakawa Oiwake-ChoKyotoJapan
  3. 3.Department of Physics, Faculty of ScienceTokyo University of ScienceTokyoJapan
  4. 4.Department of PhysicsKeio UniversityKanagawaJapan
  5. 5.Research and Education Center for Natural SciencesKeio UniversityKanagawaJapan

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