Spin diffusion and the anisotropic spin-1/2 Heisenberg chain

Details Spin diffusion and the anisotropic spin-1/2 Heisenberg chain Spin diffusion and the anisotropic spin-1/2 Heisenberg chain

2006-04-12

arxiv.org/abs/cond-mat/0604327v1

Phys. Rev. B 73, 224424 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 7 figures

Scientific paper

10.1103/PhysRevB.73.224424

Measurements of the spin-lattice relaxation rate 1/T_1 by nuclear magnetic resonance for the one-dimensional Heisenberg antiferromagnet Sr_2CuO_3 have provided evidence for a diffusion-like contribution at finite temperature and small wave-vector. By analyzing real-time data for the auto- and nearest-neighbor spin-spin correlation functions obtained by the density-matrix renormalization group I show that such a contribution indeed exists for temperatures T>J, where J is the coupling constant, but that it becomes exponentially suppressed for T << J. I present evidence that the frequency-dependence of 1/T_1 in the Heisenberg case is smoothly connected to that in the free fermion case where the exponential suppression of the diffusion-like contribution is easily understood.

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