Zeitschrift für Physik B Condensed Matter

, Volume 87, Issue 3, pp 281–287 | Cite as

Groundstate properties of a generalized VBS-model

  • A. Klümper
  • A. Schadschneider
  • J. Zittartz
Original Contributions


We study a generalized “q-deformed” VBS-model. This is a spin-1 quantum antiferromagnet with nearest neighbour interaction on a linear chain. The exact grounstate is determined in the form of a matrix-product of individual site-contributions. All relevant groundstate properties are calculated. The groundstate is unique, it has a finite gap to the excitations, and correlations decay exponentially. Thus the model has all the properties described by Haldane to be generic for certain quantum antiferromagnets with integral spin.


Spectroscopy Neural Network State Physics Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • A. Klümper
    • 1
  • A. Schadschneider
    • 1
  • J. Zittartz
    • 1
  1. 1.Institut für Theoretische PhysikUniversität zu KölnKöln 41Federal Republic of Germany

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