• Corpus ID: 198968163

The Two-Dimensional Infinite Heisenberg Classical Square Lattice: Exact Theory and Experimental Results

@article{Curely2019TheTI,
  title={The Two-Dimensional Infinite Heisenberg Classical Square Lattice: Exact Theory and Experimental Results},
  author={Jacques Cur'ely},
  journal={arXiv: Statistical Mechanics},
  year={2019}
}
  • J. Cur'ely
  • Published 26 July 2019
  • Physics
  • arXiv: Statistical Mechanics
We rigorously examine 2d-infinite square lattices composed of classical spins isotropically coupled between first-nearest neighbors. Each local exchange Hamiltonian is expanded on the basis of its eigenfunctions played by spherical harmonics Yinf{l,m}. The corresponding eigenvalues are modified Bessel functions of the first kind. In the thermodynamic limit a numerical study allows one to select the higher-degree term of the characteristic polynomial associated with the zero-field partition… 
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