Problem S8.1. Consider the directed lattice shown in the figure. Assume that horizontal bonds have a coupling

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Problem S8.1. Consider the directed lattice shown in the figure. Assume that horizontal bonds have a coupling constant, J., and that tilted vertical bonds have coupling constant, Jy.

(a) Find the antisymmetric matrix, A, associated with this lattice. Compute its determinant.

(b) Draw all disconnected dimer graphs for this lattice. Show that they represent A.

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