The square lattice Ising model on the rectangle I: finite systems

@inproceedings{Hucht2017TheSL,
  title={The square lattice Ising model on the rectangle I: finite systems},
  author={Alfred Hucht},
  year={2017}
}
The partition function of the square lattice Ising model on the rectangle with open boundary conditions in both directions is calculated exactly for arbitrary system size and temperature. We start with the dimer method of Kasteleyn, McCoy and Wu, construct a highly symmetric block transfer matrix and derive a factorization of the involved determinant, effectively decomposing the free energy of the system into two parts, , where the residual part contains the nontrivial finite-L contributions… CONTINUE READING
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