Bethe-Ansatz results for a solvable O(n) model on the square lattice

M. T. Batchelor*, B. Nienhuis, S. O. Warnaar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

54 Citations (Scopus)


The Bethe-Ansatz approach is used to solve a nineteen-vertex model equivalent to a spin model with O(n) symmetry on the square lattice. The bulk free energy is determined exactly on four branches of critical points. On two of these branches, the central charge is derived from finite-size corrections. On the two other branches, the nature of the Bethe Ansatz solutions prevents us from computing the central charge analytically. In this case, our approach still allows the exact numerical determination of the free energy on strips of hundreds of sites wide.

Original languageEnglish
Pages (from-to)2425-2428
Number of pages4
JournalPhysical Review Letters
Issue number21
Publication statusPublished - 1989
Externally publishedYes


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