Magnetization plateaus of an exactly solvable spin-1 Ising-Heisenberg diamond chain

Abstract

The spin-1 Ising-Heisenberg diamond chain in a magnetic field is exactly solved by a rigorous treatment based on the transfer-matrix method. An exact ground-state phase diagram includes in total three unconventional quantum ground states with a quantum entanglement of the decorating spin-1 Heisenberg dimers apart from two ground states with a classical spin arrangement. It is evidenced that all three values of the magnetization allowed for the spin-1 diamond chain without translationally broken symmetry by the Oshikawa-Yamanaka-Affleck criterion can become evident in an outstanding stepwise magnetization curve with three intermediate plateaus at zero, one-third, and two-thirds of the saturation magnetization.

arXiv comment10 pages, 4 figures

References in corpus (10)

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Cited by in corpus (14)

• Zero temperature non-plateau magnetization and magnetocaloric effect in an Ising-XYZ diamond chain structure
• On the absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains
• Entanglement, magnetic and quadrupole moments properties of the mixed spin Ising-Heisenberg diamond chain
• Exactly solved mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain
• Non-conserved magnetization operator and `fire-and-ice' ground states in the Ising-Heisenberg diamond chain
• Phase transitions and thermal entanglement of the distorted Ising-Heisenberg spin chain: topology of multiple-spin exchange interactions in spin ladders
• Classical phase transitions in a one-dimensional short-range spin model induced by entropy depletion or complex fields
• Hysteresis behaviors of a spin-1 anisotropic Heisenberg model
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
• Exactly solvable spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain
• Magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain in vicinity of a triple coexistence point
• XXZ-Ising model on the triangular kagome lattice with spin-1 on the decorated trimers