Bethe ansatz calculations for the eight-vertex model on a finite strip

DOI10.1007/BF01017563zbMath0962.82508MaRDI QIDQ1907334

Paul A. Pearce, Michael N. Barber, Murray T. Batchelor

Publication date: 20 February 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

finite-size scalingscaling fields

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

The spectral gap and the dynamical critical exponent of an exact solvable probabilistic cellular automaton ⋮ Analytic theory of the eight-vertex model ⋮ Conformal invariance, the XXZ chain and the operator content of two- dimensional critical systems ⋮ Logarithmic corrections to finite-size scaling in the four-state Potts model. ⋮ Row transfer matrix spectra of cyclic solid-on-solid lattice models.

Uses Software

• c05nbf

Cites Work

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• Operator content of two-dimensional conformally invariant theories
• Conformal invariance, the XXZ chain and the operator content of two- dimensional critical systems
• Partition function of the eight-vertex lattice model
• The large-N limit of the discrete cubic and chiral cubic models
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.

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