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Bilinear-biquadratic spin-1 model in the Haldane and dimerized phases

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We study the low-lying spectrum of the bilinear-biquadratic Heisenberg model in the dimerized and Haldane phases using a tensor renormalization method. At the critical point θ = −π/4 the finitesize… Click to show full abstract

We study the low-lying spectrum of the bilinear-biquadratic Heisenberg model in the dimerized and Haldane phases using a tensor renormalization method. At the critical point θ = −π/4 the finitesize spectrum predicted by the Wess-Zumino-Witten (WZW) model can only partly be confirmed. We find a singlet-singlet gap which does not fit into the WZW systematics. The results obtained are compared to Bethe Ansatz, exact diagonalization, and DMRG calculations for specific parameters.

Keywords: model haldane; model; bilinear biquadratic; biquadratic spin; spin model

Journal Title: Physical Review B
Year Published: 2022

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