The ising model in a magnetic field of ½<i>i</i>π

1971/01/01 by T.W. Marshall, Trevor W. Marshall · 1 citation
Physics and Astronomy · Mathematics · #Theoretical and Computational Physics #Stochastic processes and statistical mechanics #Quantum many-body systems

paper · doi:10.1080/00268977100101991

Abstract

The result of Lee and Yang for the free energy of a square two-dimensional Ising model in a magnetic field of ½iπ is shown to be correct only if the thermodynamic limit is approached through even numbers of lattice sites. Derivations of this result are given by the algebraic (Onsager-Kaufman) method and the fermion operator (Hurst) method.

Cited by

• Free-fermion approach to the partition function zeros : Special boundary conditions and product form of solution

Related

• On Ising model in magnetic field on the lattice
• Ising model with a magnetic field
• Partition function for the two-dimensional square lattice Ising model in a non-zero magnetic field-A heuristic analysis
• Ising field theory in a magnetic field: analytic properties of the free energy
• Two-dimensional Ising model in a finite magnetic field for the square lattice of infinite sites-Partition function and Magnetization