Spin diffusion and the anisotropic spin-12Heisenberg chain

2006/04/12 by Jesko Sirker, J. Sirker · 4 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.73.224424

published as Phys. Rev. B 73, 224424 (2006) · 9 pages, 7 figures

arxiv created 2006/04/12 · openalex publication_date 2006/06/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Measurements of the spin-lattice relaxation rate 1∕T₁ by nuclear magnetic resonance for the one-dimensional Heisenberg antiferromagnet Sr₂CuO₃ have provided evidence for a diffusionlike 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∕T₁ in the Heisenberg case is smoothly connected to that in the free fermion case where the exponential suppression of the diffusionlike contribution is easily understood.

Citations

• Coulomb Drag by Small Momentum Transfer between Quantum Wires

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