Advertisement

Zeitschrift für Physik B Condensed Matter

, Volume 103, Issue 3, pp 555–559 | Cite as

Flow equations for Hamiltonians: crossover from Luttinger to Landau-Liquid behaviour in the n-orbital model

  • Andreas Kabel
  • Franz Wegner
Article

Abstract

Flow equations for Hamiltonians are a novel method for diagonalizing Hamilton operators. They were applied by one of the authors to a one-dimensional SU(n)-symmetric fermionic system, solving the occuring equations to first order of a \(\tfrac{1}{n}\)-expansion. In this paper, we generalize the procedure to an arbitrary number of spatial dimensions. Although the resulting equations cannot be solved analytically, some information can be extracted about the particle number near the Fermi surface. The results suggest a nonuniversal behaviour for d = 1 which breaks down in favour of that of a Landau liquid in any dimension ≫ 1.

Keywords

Particle Number Fermi Surface Fermionic System Homogenous Linear Differential Equation Interchain Coupling 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. Voit: Rep. Progr. Physics 58, 77 (1995)Google Scholar
  2. 2.
    C. Castellani, C. Di Castro, W. Metzner: Phys. Rev. L. 72, 316 (1994)Google Scholar
  3. 3.
    F. Wegner: Ann. Physik (Leipzig) 3, 77 (1994)Google Scholar
  4. 4.
    S. K. Kehrein, A. Mielke: Ann. Phys (NY) 252, 1 (1996)Google Scholar
  5. 5.
    S. K. Kehrein, A. Mielke, P. Neu: Z. Phys B 99, 269 (1996)Google Scholar
  6. 6.
    S. K. Kehrein, A. Mielke: Phys. Lett. A 219, 313 (1996)Google Scholar
  7. 7.
    P. Lenz, F. Wegner: Nucl. Phys. B 482, 693 (1996)Google Scholar
  8. 8.
    S. D. Glazek, K. G. Wilson: Phys. Rev. D 48, 5863 (1993)Google Scholar
  9. 9.
    K. G. Wilson, T. S. Walhout, A. Harindranath, W. M. Zhang, R. J. Perry: Phys. Rev. D 49, 4214 (1994)Google Scholar
  10. 10.
    J. B. Marston, I. Affleck: Phys. Rev. B 39, 11538 (1989)Google Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Andreas Kabel
    • 1
  • Franz Wegner
    • 1
  1. 1.Institut für Theoretische PhysikRuprecht-Karls-UniversitätHeidelbergGermany

Personalised recommendations