Broad Histogram Method for Multiparametric Hamiltonians

Details Broad Histogram Method for Multiparametric Hamiltonians Broad Histogram Method for Multiparametric Hamiltonians

1999-12-09

arxiv.org/abs/cond-mat/9912152v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 postscript figures

Scientific paper

10.1016/S0038-1098(00)00073-9

We extended the Broad Histogram Method in order to obtain spectral degeneracies for systems with multiparametric Hamiltonians. As examples we obtained the critical lines for the square lattice Ising model with nearest and next-nearest neighbor interactions and the antiferromagnetic Ising model in an external field. For each system, the entire critical line is obtained using data from a single computer run. We also discuss the accuracy and efficiency of our method.

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