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Pramana

, Volume 29, Issue 5, pp 509–516 | Cite as

Hubbard model: revisited—a macroscopic renormalization group study

  • Avinash Singh
Condensed Matter Physics
  • 22 Downloads

Abstract

The spin-correlation length is used to set up a RG analysis of the Hubbard model (within RPA). We demonstrate that an identical critical behaviour is obtained by performing the macroscopic renormalization group analysis with the antisymmetric Landau interaction parameter. The beta functions for the half-filled and quarter-filled band cases have been evaluated.

Keywords

Hubbard model macroscopic renormalization group beta function 

PACS No.

75.10 

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References

  1. Blandin A 1976 inMagnetism: Selected Topics (ed) Simon Foner (New York: Gordon and Breach Science Publishers)Google Scholar
  2. Doniach S and Sondheimer E H 1974Green’s functions for solid state physicists (New York: Benjamin)Google Scholar
  3. Fisher M E 1982 Lecture NotesProceedings of the summer school on critical phenomena (Stellenborch: Springer)186 39Google Scholar
  4. Ma M 1982Phys. Rev. B26 5097ADSGoogle Scholar
  5. McMillan W L 1984Phys. Rev. B29 4026ADSGoogle Scholar
  6. Singh A 1987Phys. Rev. B (to be published)Google Scholar
  7. Singh A and McMillan W L 1985aJ. Phys. C17 2097ADSGoogle Scholar
  8. Singh A and McMillan W L 1985bJ. Phys. C18 2103ADSGoogle Scholar
  9. Singh A and Fradkin E 1987Phys. Rev. B35 6894ADSGoogle Scholar
  10. Suzuki M and Takano H 1979Phys. Lett. A69 426ADSMathSciNetGoogle Scholar
  11. Theumann A and Béal-Monod M T 1984Phys. Rev. B29 2567ADSGoogle Scholar

Copyright information

© Indian Academy of Sciences 1987

Authors and Affiliations

  • Avinash Singh
    • 1
  1. 1.Loomis Laboratory of Physics and Materials Research LaboratoryUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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