Effect of disorder on relaxation in the one-dimensional Glauber model

М. А. Алиев

Harold Falk

Marcelo D. Grynberg, Robin B. Stinchcombe

We consider the one-dimensional Glauber dynamics with coupling disorder in terms of bilinear fermion Hamiltonians. Dynamic exponents embodied in the spectrum gap of these latter are evaluated numerically by averaging over both binary and Gaussian disorder realizations. In the first case, these exponents are found to follow the nonuniversal values of those of plain dimerized chains. In the second situation their values are still nonuniversal and subdiffusive below a critical variance above which, however, the relaxation time is suggested to grow as a stretched exponential of the equilibrium correlation length.

R. W. Gibberd, G.C. Stey

Mami Segawa, Akira Takahashi, Masaki Aihara

We theoretically investigate the effect of static disorder on the dynamics of photoexcited states in one-dimensional Mott insulators. We numerically calculate the time development of the state excited by a light pulse in the Pariser-Parr-Pople model, where disorder is introduced in the site energy and the transfer integral. In the weaker excitation case, the spin-charge coupling is induced by the disorder in the transfer integral. The effects of the disorder in the site energy on the spin-charge coupling are much weaker than those in the transfer integral. In the stronger excitation case, the spin and the charge degrees of freedom are coupled in the photoexcited states even in regular systems. The spin relaxations are enhanced by the disorders, and there are no significant differences in the effects of disorders on the spin relaxations between these two kinds of disorders.

J. M. Nunes da Silva