Frustration-Induced Ferrimagnetism in Heisenberg Spin Chains

Abstract

We study ground-state properties of the Heisenberg frustrated spin chain with interactions up to fourth nearest neighbors by the exact-diagonalization method and the density matrix renormalization group method. We find that ferrimagnetism is realized not only in the case of S=1/2 but also S=1 despite that there is only a single spin site in each unit cell determined from the shape of the Hamiltonian. Our numerical results suggest that a "multi-sublattice structure" is not required for the occurrence of ferrimagnetism in quantum spin systems with isotropic interactions.

6 pages, 3 figures, accepted for publication in Journal of the Physical Society of Japan

References in corpus (5)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Quantum magnetization plateaux of an anisotropic ferrimagnetic spin chain
• Collapse of Ferrimagnetism in Two-Dimensional Heisenberg Antiferromagnet due to Frustration
• Ferrimagnetic States in S=1/2 Frustrated Heisenberg Chains with Period 3 Exchange Modulation
• Frustration-Induced Ferrimagnetism in S=1/2 Heisenberg Spin Chain

Cited by in corpus (5)

• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Ferrimagnetism of the Heisenberg Models on the Quasi-One-Dimensional Kagome Strip Lattices
• Instability of a ferrimagnetic state of a frustrated S=1/2 Heisenberg antiferromagnet in two dimensions
• Characterization of Topological Phases of Spin-1/2 Frustrated Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chains by Entanglement Spectrum
• Nontrivial ferrimagnetism of the Heisenberg model on the Union Jack strip lattice