Ising chains

Transfer matrix methods

Transfer matrix method

Consider a Hamiltonian on a semi-infinite 2D lattice, i.e. a semi-periodic strip of height \(N\)

\[H=\sum_{i=1}^N\sum_{j=-\infty}^{\infty}(-Js_{i,j}s{i,j+1}-Js_{i,j}s_{i+1,j}-Hs_{i,j},\]

with \(s_{1,j}=s_{N+1,j}\).