Ising Model

Here are the set of notes that I took while doing the project.  Click here to view the code and the full project!

In the project, this temperature (The Curie point) for a 2D Ising lattice has been predicted to within 3% error of Onsager's 1944 solution. The numerical solution has been obtained through Metropolis Monte Carlo methods, predicting stable spin configurations, energetics, magnetisations, and more.  A solution of the 1D quantum Ising model is also included, solving for the spin eigenstates via exact diagonalisation. (Jul 2025, Summer of Year 1)