Magnetization plateaus in weakly coupled dimer spin system

Abstract

I study a spin system consisting of strongly coupled dimers which are in turn weakly coupled in a plane by zigzag interactions. The model can be viewed as the strong-coupling limit of a two-dimensional zigzag chain structure typical, e.g., for the $(ac)$-planes of KCuCl_3. It is shown that the magnetization curve in this model has plateaus at 1/3 and 2/3 of the saturation magnetization, and an additional plateau at 1/2 can appear in a certain range of the model parameters; the critical fields are calculated perturbatively. It is argued that for the three-dimensional lattice structure of the KCuCl_3 family the plateaus at 1/4 and 3/4 of the saturation can be favored in a similar way, which might be relevant to the recent experiments on NH_4CuCl_3 by Shiramura et al., J. Phys. Soc. Jpn. {\bf 67}, 1548 (1998).

serious changes in Sect. II,III, final version to appear in PRB

References in corpus (4)

• Magnetization Plateaux in N-Leg Spin Ladders
• Magnetization Curves of Antiferromagnetic Heisenberg Spin-1/2 Ladders
• Magnetization plateau in S=3/2 antiferromagnetic Heisenberg chain with anisotropy
• Theoretical analysis of the experiments on the double-spin-chain compound -- KCuCl${}_3$

Cited by in corpus (16)

• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• Field-Induced Magnetic Ordering in the Quantum Spin System KCuCl${}_3$
• Quantum magnetization plateaux of an anisotropic ferrimagnetic spin chain
• Critical Behavior of Anisotropic Heisenberg Mixed-Spin Chains in a Field
• Multi-plateau magnetization curves of one-dimensional Heisenberg ferrimagnets
• Ferromagnetically coupled dimers on the distorted Shastry-Sutherland lattice: Application to (CuCl)LaNb2O7
• Quasi-periodic spin chains in a magnetic field
• Breakdown of a Magnetization Plateau due to Anisotropy in Heisenberg Mixed-Spin Chains
• Magnetization of coupled spin clusters in Ladder Geometry
• Studies on a frustrated Heisenberg spin chain with alternating ferromagnetic and antiferromagnetic exchanges
• Bond Operator Mean Field Approach to the Magnetization Plateaux in Quantum Antiferromagnets -- Application to the S=1/2 Coupled Dimerized Zigzag Heisenberg Chains
• Magnetic Properties for the One-Dimensional Multicomponent Spin-Gap System
• Temperature dependence of spin currents in one- and three-dimensional insulators
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain