Abstract
We study the ground state phase diagram of undoped spin ladders. It is shown that in two leg spin ladders depending on the sign of the interchain coupling there exist two types of the gapfull Haldane phase differing in the topology of the short range valence bonds. These phases can be distinguished by the absence or presence of appropriately defined string order parameters. It is also shown that the mechanism of gap generation is different in two-leg and four-leg ladders. This explaines the narrow Haldane regime in S > 1 spin systems.
This is a preview of subscription content, log in via an institution to check access.
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
For reviews see T.M. Rice, Z. Phys. B 103, 165 (1997); E. Dagotto, cond-mat/9908250.
K. Hida, J. Phys. Soc. Jpn. 60, 1347 (1991); S. Takada and H. Watanabe, J. Phys. Soc. Jpn. 61, 39 (1992); T. Barnes and J. Riera, Phys. Rev. B 50, 6817 (1994).
E. Dagotto, J. Riera, and D.J. Scalapino, Phys. Rev. B 45, 5644 (1992); T. Barnes, E. Dagotto, J. Riera, and E.S. Swanson, Phys. Rev. B 47, 3196 (1993); H. Watanabe, Phys. Rev. B 50, 13 442 (1994).
F.D.M. Haldane, Phys. Rev. Lett. 50, 1153 (1983); Phys. Lett. 93A, 464 (1983).
M.P.M. den Nijs and K. Rommelse, Phys. Rev. B 40, 4709 (1989).
E.H. Kim, G. Fáth, J. Sólyom, and D.J. Scalapino, cond-mat/9910023.
I. Affleck, T. Kennedy, E.H. Lieb, and H. Tasaki, Phys. Rev. Lett. 59, 799 (1987).
S.R. White, R.M. Noack, and D.J. Scalapino, Phys. Rev. Lett. 73, 886 (1994).
S.R. White, Phys. Rev. B 53, 52 (1996).
J. Sólyom and J. Timonen, Phys. Rev. B 34, 487 (1986).
Ö. Legeza, G. Fáth, and J. Sólyom, to be published.
Ö. Legeza, G. Fáth, and J. Sólyom, Phys. Rev. B 55, 291 (1997).
A.M. Tsvelik, Quantum Field Theory in Condensed Matter Physics, Cambridge University Press, Cambridge 1995.
E.H. Kim and J. Sólyom, Phys. Rev. 60, 15 230 (1999).
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
Sólyom, J. (2001). Phase Diagram of Spin Ladder Models and the Topology of Short Range Valence Bonds. 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_10
Download citation
DOI: https://doi.org/10.1007/978-94-010-0771-9_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6896-0
Online ISBN: 978-94-010-0771-9
eBook Packages: Springer Book Archive