Abstract
We review a recently developed method, based on a pseudoparticle representation of correlated electrons, to describe both Fermi liquid and non-Fermi liquid behavior in quantum impurity systems. The role of the projection onto the physical Hilbert space and the impossibility of slave boson condensation are discussed. By summing the leading coherent spin and charge fluctuation processes in a fully self-consistent and gauge invariant way one obtains the correct infrared behavior of the pseudoparticles. The temperature dependence of the spin susceptibility for the single channel and two-channel Anderson models is calculated and found to agree well with exact results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. C. Hewson, The Kondo Problem to Heavy Fermions (C.U.P., Cambridge, 1993).
For a comprehensive overview see D. L. Cox and A. Zawadowski, Adv. Phys. 47, 599 (1998).
W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989).
A. Georges et al., Rev. Mod. Phys. 68, 13 (1996).
S. E. Barnes, J. Phys. F6, 1375 (1976); F7, 2637 (1977).
A. A. Abrikosov, Physics 2, 21 (1965).
P. Coleman, Phys. Rev. B29, 3035 (1984).
S. Elitzur, Phys. Rev. D 12, 3978 (1975).
G. Baym and L.P. Kadanoff, Phys. Rev. 124, 287 (1961); G. Baym, Phys. Rev. 127 1391 (1962).
J. Kroha, P. Hirschfeld, K. A. Muttalib, and P. Wölfle Solid State Comm. 83(12), 1003 (1992).
P. Nozières and C. T. De Dominicis, Phys. Rev. 178, 1073; 1084; 1097 (1969).
P. W. Anderson, Phys. Rev. Lett. 18, 1049 (1967).
K. D. Schotte and U. Schotte, Phys. Rev. 185, 509 (1969).
B. Menge and E. Müller-Hartmann, Z. Phys. B73, 225 (1988).
J. Kroha, P. Wölfle and T. A. Costi, Phys. Rev. Lett. 79, 261 (1997).
For a more detailed discussion see J. Kroha and P. Wölfle, Acta Phys. Pol. B 29, 3781 (1998); cond-mat# 9811074.
T.A. Costi, P. Schmitteckert, J. Kroha and P. Wölfle, Phys. Rev. Lett. 73, 1275 (1994); Physica (Amsterdam) 235-240C, 2287 (1994).
S. Fujimoto, N. Kawakami and S.K. Yang, J.Phys.Korea 29, S136 (1996).
I. Affleck and A.W.W. Ludwig, Nucl. Phys. 352, 849 (1991); B360, 641 (1991); Phys. Rev. B 48, 7297 (1993).
N. Grewe and H. Keiter, Phys. Rev B 24, 4420 (1981).
Y. Kuramoto, Z. Phys. B 53, 37 (1983); Y. Kuramoto and H. Kojima, ibid. 57, 95 (1984); Y. Kuramoto, ibid. 65, 29 (1986).
D. L. Cox and A. E. Ruckenstein, Phys. Rev. Lett. 71, 1613 (1993).
We are grateful to T. A. Costi for providing the NRG data.
N. Andrei, K. Furuya, J.H. Löwenstein, Rev.Mod.Phys. 55, 331 (1983).
N. Andrei, C. Destri, Phys. Rev. Lett. 52, 364 (1984).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Kroha, J., Wölfle, P. (2001). Diagrammatic Theory of Anderson Impurity Models: Fermi and Non-Fermi Liquid Behavior. In: Bonča, J., Prelovšek, P., Ramšak, A., Sarkar, S. (eds) Open Problems in Strongly Correlated Electron Systems. NATO Science Series, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0771-9_11
Download citation
DOI: https://doi.org/10.1007/978-94-010-0771-9_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6896-0
Online ISBN: 978-94-010-0771-9
eBook Packages: Springer Book Archive