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

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.

17 pages, 7 figures

References in corpus (2)

• A Monte Carlo study of leading order scaling corrections of phi^4 theory on a three dimensional lattice
• Universal amplitudes in the FSS of three-dimensional spin models

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