D. Karevski et L. Turban, LOG-PERIODIC CORRECTIONS TO SCALING - EXACT RESULTS FOR APERIODIC ISING QUANTUM CHAINS, Journal of physics. A, mathematical and general, 29(13), 1996, pp. 3461-3470
Log-periodic amplitudes of the surface magnetization are calculated an
alytically for two Ising quantum chains with aperiodic modulations of
the couplings. The oscillating behaviour is linked to the discrete sca
le invariance of the perturbations. For the Fredholm sequence, the ape
riodic modulation is marginal and the amplitudes are obtained as funct
ions of the deviation from the critical point. For the other sequence,
the perturbation is relevant and the critical surface magnetization i
s studied.