Uniform chain ------------- H(k) = -2 t cos(k) t = 1.000000 Dimerized chain --------------- t1 = t (1 - delta) = 0.750000 t2 = t (1 + delta) = 1.250000 delta = 0.250000 H(k) = [[0, t1 + t2 exp(-i k)], [t1 + t2 exp(+i k), 0]] Uniform dispersion: E(k) = -2 t cos(k) E_+(k), E_-(k) = +/- sqrt(t1^2 + t2^2 + 2 t1 t2 cos(k)) Band gap at k = pi: 2 |t1 - t2| = 1.000000