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The effective interaction is given by V ix, jx h =J Δ ix, jx -g Γ ix, jx, where Δ ix, jx accounts for the number and relative orientation of spins in column jx, which are nearest neighbors of a single spin in column ix: Δ ix, ix =2, Δ ix, ix ±1 =1 (ix 1,h), Δ1,h = Δh,1 =-1, and Δ ix, jx =0 otherwise. Γ ix, jx = α jy =1 Ly (-1) α | (jx - ix +αh) 2 + (jy -1) 2 | 3/2, where the term for α=0 has to be omitted for ix = jx.
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The effective interaction is given by V ix, jx h =J Δ ix, jx -g Γ ix, jx, where Δ ix, jx accounts for the number and relative orientation of spins in column jx, which are nearest neighbors of a single spin in column ix: Δ ix, ix =2, Δ ix, ix ±1 =1 (ix 1,h), Δ1,h = Δh,1 =-1, and Δ ix, jx =0 otherwise. Γ ix, jx = α jy =1 Ly (-1) α | (jx - ix +αh) 2 + (jy -1) 2 | 3/2, where the term for α=0 has to be omitted for ix = jx.
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