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

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 (Takhtajan-Babujian) critical point the finite size 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 density matrix renormalization group (DMRG) calculations for specific parameters.

5 pages, 6 multi-panel figures, 1 table

References in corpus (1)

• Luttinger liquid parameters from tensor network data

Cited by in corpus (3)

• Identification of gapless phases by a twisting operator
• Absence of nontrivial local conserved quantities in the spin-1 bilinear-biquadratic chain and its anisotropic extensions
• Creating two-qudit maximally entangled quantum link through bulk