Abstract:
We consider cooperative processes (quantum spin chains and random walks) in one-dimensional fluctuating random and aperiodic environments characterized by fluctuating exponents . At the critical point the random and aperiodic systems scale essentially anisotropically in a similar fashion: length (L) and time (t) scales are related as . Also some critical exponents, characterizing the singularities of average quantities, are found to be universal functions of , whereas some others do depend on details of the distribution of the disorder. In the off-critical region there is an important difference between the two types of environments: in aperiodic systems there are no extra (Griffiths)-singularities.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 5 February 1998 / Accepted: 17 April 1998
Rights and permissions
About this article
Cite this article
Iglói, F., Karevski, D. & Rieger, H. Comparative study of the critical behavior in one-dimensional random and aperiodic environments. Eur. Phys. J. B 5, 613–625 (1998). https://doi.org/10.1007/s100510050486
Issue Date:
DOI: https://doi.org/10.1007/s100510050486