English

Finite-Size Scaling in the transverse Ising Model on a Square Lattice

Statistical Mechanics 2008-11-26 v1

Abstract

Energy eigenvalues and order parameters are calculated by exact diagonalization for the transverse Ising model on square lattices of up to 6x6 sites. Finite-size scaling is used to estimate the critical parameters of the model, confirming universality with the three-dimensional classical Ising model. Critical amplitudes are also estimated for both the energy gap and the ground-state energy.

Keywords

Cite

@article{arxiv.cond-mat/0007063,
  title  = {Finite-Size Scaling in the transverse Ising Model on a Square Lattice},
  author = {C. J. Hamer},
  journal= {arXiv preprint arXiv:cond-mat/0007063},
  year   = {2008}
}

Comments

17 pages, 7 figures