Stochastic description of the dynamics of the random-exchange Heisenberg chain

Details Stochastic description of the dynamics of the random-exchange Heisenberg chain Stochastic description of the dynamics of the random-exchange Heisenberg chain

2003-08-26

arxiv.org/abs/cond-mat/0308542v3

PHYSICS LETTERS A 339 (1-2): 33-38 MAY 16 2005

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures

Scientific paper

10.1016/j.physleta.2005.02.059

We study the diffusion process in a Heisenberg chain with correlated spatial disorder, with a power spectrum in the momentum space behaving as $k^{-\beta}$, using a stochastic description. It establishes a direct connection between the fluctuation in the spin-wave density of states and the noise density of states. For continuous ranges of the exponent $\beta $, we find superdiffusive and ballistic spin-wave motions. Both diffusion exponents predicted by the stochastic procedure agree with the ones calculated using the Hamiltonian dynamics.

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