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I have questions about how to implement the metropolis algorithm to the Kosterlitz-Thouless model. Many questions!!

When I create a LxL lattice I give an angle for every spin vector in every position (i,j) of the lattice or the projection of the vector? The Hamiltonian of the model is Η=-JΣi,jCos(theta_i-theta_j)

And then how energy is defined?? And the weight factor of the metropolis alogrithm?? Pleeeeease help... I need this by tommorow!!

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# Metropolis algorithm for Kosterlitz-Thouless model

Can you offer guidance or do you also need help?

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