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- W3102911172 abstract "We study the spatial Fourier transform of the spin correlation function Gq(L) in paramagnetic quantum crystals by direct simulation of a 1d lattice of atoms interacting via a nearest-neighbor Heisenberg exchange Hamiltonian. Since it is not practical to diagonalize the s = 1/2 exchange Hamiltonian for a lattice which is of sufficient size to study long-wavelength (hydrodynamic) fluctuations, we instead study the s → ∝ limit and treat each spin as a vector with a classical equation of motion. The simulations give a detailed picture of a the correlation function Gq(t) and its time derivatives. At high polarization, there seems to be a hierarchy of frequency scales: the local exchange frequency, a wavelength-independent relaxation rate 1/τ that vanishes at large polarization P → 1, and a wavelength-dependent spin-wave frequency ∝ q2. This suggests a form for the correlation function which modifies the spin diffusion coefficients obtained in a moments calculation by Cowan and Mullin, who used a standard Gaussian ansalz for the second derivative of the correlation function." @default.
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- W3102911172 date "2005-02-01" @default.
- W3102911172 modified "2023-10-16" @default.
- W3102911172 title "Spin-Current Relaxation Time in Spin-Polarized Heisenberg Paramagnets" @default.
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- W3102911172 doi "https://doi.org/10.1007/s10909-005-2312-1" @default.
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