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

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dc.creatorVainstein, M. H.
dc.creatorMorgado, R.
dc.creatorOliveira, F. A.
dc.creatorde Moura, F. A. B. F.
dc.creatorCoutinho-Filho, M. D.
dc.date2003-08-26
dc.date2006-05-05
dc.date.accessioned2026-07-07T06:34:46Z
dc.date.available2026-07-07T06:34:46Z
dc.descriptionWe study the diffusion process in a Heisenberg chain with correlated spatial disorder, with a power spectrum in the momentum space behaving as $k^{-β}$, 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 $β$, 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.
dc.description6 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0308542
dc.identifierhttp://arxiv.org/abs/cond-mat/0308542
dc.identifierPHYSICS LETTERS A 339 (1-2): 33-38 MAY 16 2005
dc.identifierdoi:10.1016/j.physleta.2005.02.059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99628
dc.subjectStatistical Mechanics
dc.titleStochastic description of the dynamics of the random-exchange Heisenberg chain
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