Correlation Functions of Spin-1 XXZ Chain in a Magnetic Field

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概要

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• Spin-1 XXZ chain in a magnetic field (?=Σ_i(S^x_iS^x_<i+1>+S^y_iS^y_<i+1>+λS^z_iS^z_<i+1>)-hΣ_iS^z_i) for -1<λ<1 is studied by the exact diagonalization using the Lanczos method up to 16 sites, and the exponents of the correlation functions, η_x and η_z, for the partially magnetized state is calculated applying the conformal field theory to the obtained data. We find that the dependence of the exponent on the magnetization m changes at λ〜0, and this is consistent with the conjecture that the transition from the massless XY phase to the massive Haldane phase takes place at λ〜0. The critical value λ_<c1> is estimated as 0.068±0.003 from the criterion η_x=1/4 at λ_<c1>. The values of the exponent in the two limiting cases m→0 and m→1 are discussed.

• 1994-10-15

著者

• YAJIMA Makoto

  Institute for Solid State Physics, University of Tokyo

• Yajima Makoto

  Institute For Solid State Physics University Of Tokyo

• Takahashi Minoru

  Institute For Solid Physics University Of Tokyo

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