Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1997-07-17
Europ. Phys. J. B 1 (1998) 513
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages RevTeX, 2 eps-figures included
Scientific paper
10.1007/s100510050213
According to the Harris-Luck criterion the relevance of a fluctuating interaction at the critical point is connected to the value of the fluctuation exponent omega. Here we consider different types of relevant fluctuations in the quantum Ising chain and investigate the universality class of the models. At the critical point the random and aperiodic systems behave similarly, due to the same type of extreme broad distribution of the energy scales at low energies. The critical exponents of some averaged quantities are found to be a universal function of omega, but some others do depend on other parameters of the distribution of the couplings. In the off-critical region there is an important difference between the two systems: there are no Griffiths singularities in aperiodic models.
Igloi Ferenc
Karevski Dragi
Rieger Heiko
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