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Extended ising model ground state configuration algorithm Is there a general solver (or theoretical algorithm) for ground state configuration of extended ising model, which involves arbitrary lattice, arbitrary number(3,4,5) body interactions and arbitrary Hamiltonia, and arbitrary number of spin(-1,0,1 and so forth) ? Except exact enumeration, what could we do better? Could this problem be translated as an optimization problem? I know such requirement is too stringent. But is there some research or established knowledge that aims to accomplish this?

Hi, I want to do mathematical research (algorithm construction and mathematical analysis) on ising model ground state configuration. From what I know, the state of art research is using graph theory formalism. Could someone give me some advice on how to learn this subject (say, what books or papers to read) to a research level from a basic undergraduate math background? Thanks