FORTRAN code for the three-dimensional Ising model

Jean-Michel Drouffe, K.J.M. Moriarty

Ashkan Shekaari, Mahmoud Jafari

We have provided a concise introduction to the Ising model as one of the most important models in statistical mechanics and in studying the phenomenon of phase transition. The required theoretical background and derivation of the Hamiltonian of the model have also been presented. We finally have discussed the computational method and details to numerically solve the two- and three-dimensional Ising problems using Monte Carlo simulations. The related computer codes in both Python and Fortran, as well as a simulation trick to visualize the spin lattice, have also been provided.

Michael J. Creutz, P. Mitra, Kevin J. M. Moriarty

Li‐Jen Chen, Chin‐Kun Hu, Kit-Sing Mak

Michael J. Creutz, P. Mitra, Kevin J. M. Moriarty

Dan Zhang, Feng Pan

Hamiltonian of a one-dimensional Bose–Hubbard model is re-formulated by using differential realization of the boson algebra. Energy matrices can then be generated systematically by using a Mathematica package. The output can be taken as the input of other diagonalization codes. As examples, exact energy eigenvalues and the corresponding wavefunctions for some cases are obtained with a Fortran diagonalization code. Phase transition of the model is analyzed.