Simulated nuclear spin-lattice relaxation in Heisenberg ferrimagnets: Indirect observation of quadratic dispersion relations

Abstract

In response to recent proton spin relaxation-time measurements on NiCu(pba)(H${}_2$O)${}_3$$\cdot$2H${}_2$O with $pba=1,3-propylenebis(oxamato)$, which is an excellent one-dimensional ferrimagnetic Heisenberg model system of spin-$(1,1/2)$, we study the Raman relaxation process in spin-$(S,s)$ quantum ferrimagnets on the assumption of predominantly dipolar hyperfine interactions between protons and magnetic ions. The relaxation time $T_1$ is formulated within the spin-wave theory and is estimated as a function of temperature and an applied field $H$ by a quantum Monte Carlo method. The low-temperature behavior of the relaxation rate $T_1^{-1}$ qualitatively varies with $(S,s)$, while $T_1^{-1}$ is almost proportional to $H^{-1/2}$ due to the characteristic dispersion relations.

5 pages, 3 figures embedded, to appear in Phys. Rev. B Rapid Commun

References in corpus (2)

• Schwinger boson mean field theory of the Heisenberg Ferrimagnetic Spin Chain
• Critical Behavior of Anisotropic Heisenberg Mixed-Spin Chains in a Field

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