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A classical lattice spin model wrapped on a cylinder is profitably viewed asa chain of rings of spins. From that perspective, mutual information betweenring configurations plays much the same role as spin-spin correlation functionsin simpler settings. We study zero-temperature states of triangular latticeIsing antiferromagnet (TIAFM) systems from this point of view using a fermionicrepresentation presented in a companion paper (Part 1). On infinite cylinders,ring-to-ring mutual information falls off asymptotically at a rate whichdecreases smoothly with cylinder circumference, but the end-to-end mutualinformation for finite cylinders depends strongly on the residue class modulo 3of the circumference as well as on whether spin periodicity or antiperiodicityis imposed in the circumferential direction. In some cases, the falloff is onlyas the inverse square of the cylinder length. These features, puzzling withinthe original spin formulation, are easily understood and calculated within thefermionic formulation.

Triangular Ising antiferromagnet through a fermionic lens, part 2: information-theoretic aspects of zero-temperature states on cylinders