Nuclear spin-lattice relaxation in ferrimagnetic clusters and chains: A contrast between zero and one dimensions

Abstract

Motivated by ferrimagnetic oligonuclear and chain compounds synthesized by Caneschi et al., both of which consist of alternating manganese(II) ions and nitronyl-nitroxide radicals, we calculate the nuclear spin-lattice relaxation rate 1/T_1 employing a recently developed modified spin-wave theory. 1/T_1 as a function of temperature drastically varies with the location of probe nuclei in both clusters and chains, though the relaxation time scale is much larger in zero dimension than in one dimension. 1/T_1 as a function of an applied field in long chains forms a striking contrast to that in finite clusters, diverging with decreasing field like inverse square root at low temperatures and logarithmically at high temperatures.

arXiv commentto be published in Phys. Rev. B 68 August 01 (2003)

References in corpus (17)

• On the self-consistent spin-wave theory of layered Heisenberg magnets
• Elementary Excitations of Heisenberg Ferrimagnetic Spin Chains
• Effect of local Coulomb interactions on the electronic structure and exchange interactions in Mn12 magnetic molecules
• Properties of low-lying states in some high-nuclearity Mn, Fe and V clusters: Exact studies of Heisenberg models
• Many-Spin Interactions and Spin Excitations in Mn12
• Magnetic Properties of Quantum Ferrimagnetic Spin Chains
• Intrinsic double-peak structure of the specific heat in low-dimensional quantum ferrimagnets
• Exchange couplings in the magnetic molecular cluster Mn12Ac
• 55Mn NMR in Mn12 acetate: Hyperfine interaction and magnetic relaxation of cluster
• Spin-Wave Description of Nuclear Spin-Lattice Relaxation in Mn_{12}O_{12} Acetate
• Characterization of ferrimagnetic Heisenberg chains according to the constituent spins
• Proton Spin Relaxation Induced by Quantum Tunneling in Fe8 Molecular Nanomagnet
• Studies of transverse and longitudinal relaxations of ${}^{55}$Mn in molecular cluster magnet Mn${}_{12}$Ac
• Many-spin effects and tunneling splittings in Mn12 magnetic molecules
• Modified spin-wave description of the nuclear spin relaxation in ferrimagnetic Heisenberg chains
• Low-Temperature Properties of Quasi-One-Dimensional Molecule-Based Ferromagnets
• Significance of the direct relaxation process in the low-energy spin dynamics of a one-dimensional ferrimagnet NiCu(C_7H_6N_2O_6)(H_2O)_3 2H_2O

Cited by in corpus (9)

• Bosonic representation of one-dimensional Heisenberg ferrimagnets
• Quantized antiferromagnetic spin waves in the molecular Heisenberg ring CsFe${}_8$
• Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets
• VBS State Induced by Impurity Frustration in Cr8Ni
• Static and Dynamic Properties of Antiferromagnetic Heisenberg Ladders: Fermionic versus Bosonic Approaches
• Nuclear Spin-Lattice Relaxation in One-Dimensional Heisenberg Ferrimagnets: Three-Magnon versus Raman Processes
• Nuclear Magnetic Relaxation in the Ferrimagnetic Chain Compound NiCu(C_7_H_6_N_2_O_6_)(H_2_O)_3_2H_2_O: Three-Magnon Scattering?
• Spin dynamics in molecular ring nanomagnets: Significant effect of acoustic phonons and magnetic anisotropies
• Modified spin-wave theory of nuclear magnetic relaxation in one-dimensional quantum ferrimagnets: Three-magnon versus Raman processes