Critical Properties of Spin Chains

  • S. Takada
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 74)


The Sx-Sx correlation functions of S=1/2 and 1 XXZ chains are numerically investigated at low temperatures by means of the transfer matrix with use of the Trotter approximation. It is shown that extrapolation to N=∞ works quite effectively and makes the estimation of the critical indices ν, γ and η possible. In the case of S=1/2 the obtained values of ν,γ and η agree quite well with the exact values obtained by Luther and Peshel. Haldane’s conjecture for integer spins is confirmed in the case of S=1.


Transfer Matrix Spin Chain Stationary Behaviour Critical Index Anti Ferromagnet 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • S. Takada
    • 1
  1. 1.Institute of PhysicsUniversity of TsukubaNiihari-gun, Ibaraki 305Japan

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