Broad Histogram Method for Multiparametric Hamiltonians

Abstract

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.

11 pages, 4 postscript figures

References in corpus (8)

• Transition Matrix Monte Carlo Reweighting and Dynamics
• Broad Histogram Monte Carlo
• Is the broad histogram random walk dynamics correct?
• Monte Carlo Simulation of Magnetic System in the Tsallis Statistics
• Speeding Up Computer Simulations: The Transition Observable Method
• Broad Histogram Method for Continuous Systems: the XY-Model
• Extending the Broad Histogram Method for Continuous Systems
• Scaling functions for Tsallis non--extensive statistics

Cited by in corpus (6)

• Transition Matrix Monte Carlo Method
• Phase Diagram of the 3D Bimodal Random-Field Ising Model
• A new approach to the study of the ground-state properties of 2D Ising spin glass
• Short-Time Dynamics of an Ising Model with Competing Interactions
• Comment on ``A Comparison Between Broad Histogram and Multicanonical Methods''
• Projected single-spin flip dynamics in the Ising Model