Finite-size scaling corrections in two-dimensional Ising and Potts ferromagnets

Abstract

Finite-size corrections to scaling of critical correlation lengths and free energies of Ising and three-state Potts ferromagnets are analysed by numerical methods, on strips of width $N$ sites of square, triangular and honeycomb lattices. Strong evidence is given that the amplitudes of the ``analytical'' correction terms, $N^{-2}$, are identically zero for triangular-- and honeycomb Ising systems. For Potts spins, our results are broadly consistent with this lattice-dependent pattern of cancellations, though for correlation lengths non-vanishing (albeit rather small) amplitudes cannot be entirely ruled out.

11 pages, LaTeX with Institute of Physics macros, 2 EPS figures; to appear in Journal of Physics A

Cited by in corpus (23)

• Finite-size scaling at quantum transitions
• Exact Universal Amplitude Ratios for Two-Dimensional Ising Models and a Quantum Spin Chain
• Irrelevant operators in the two-dimensional Ising model
• Non-analyticity of the Callan-Symanzik beta-function of two-dimensional O(N) model
• Exact Ampitude Ratio and Finite-Size Corrections for the M x N Square Lattice Ising Model The :
• Multicritical point of Ising spin glasses on triangular and honeycomb lattices
• Exact partition functions of the Ising model on MxN planar lattices with periodic-aperiodic boundary conditions
• On locations and properties of the multicritical point of Gaussian and +/-J Ising spin glasses
• High-precision estimate of g4 in the 2D Ising model
• First-order transitions and thermodynamic properties in the 2D Blume-Capel model: the transfer-matrix method revisited
• Quenched bond dilution in two-dimensional Potts models
• Susceptibility amplitude ratio in the two-dimensional three-state Potts model
• Potts correlators and the static three-quark potential
• Properties of the multicritical point of +/- J Ising spin glasses on the square lattice
• Transfer-matrix approach to the Blume-Capel model on the triangular lattice
• Universal relations in the finite-size correction terms of two-dimensional Ising models
• Field-driven transition in an Ising magnet with mixed interactions
• Interfacial adsorption in two-dimensional pure and random-bond Potts models
• Universality of the Crossing Probability for the Potts Model for q=1,2,3,4
• Universal and non-universal amplitude ratios for scaling corrections on Ising strips
• Finite-size investigation of scaling corrections in the square-lattice three-state Potts antiferromagnet square-lattice three-state Potts antiferromagnet
• Phase diagram and critical properties of a two-dimensional associating lattice gas
• An alternative order-parameter for non-equilibrium generalized spin models on honeycomb lattices