LOG-PERIODIC CORRECTIONS TO SCALING - EXACT RESULTS FOR APERIODIC ISING QUANTUM CHAINS

Citation
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
Citations number
25
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
29
Issue
13
Year of publication
1996
Pages
3461 - 3470
Database
ISI
SICI code
0305-4470(1996)29:13<3461:LCTS-E>2.0.ZU;2-C
Abstract
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.