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

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

2000-07-05

arxiv.org/abs/cond-mat/0007063v1

J.Phys.A33:6683-6698,2000

Physics

Condensed Matter

Statistical Mechanics

17 pages, 7 figures

Scientific paper

10.1088/0305-4470/33/38/303

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.

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