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.

10 pages, 4 figures

References in corpus (4)

• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
• Phase diagram of the asymmetric tetrahedral Ising-Heisenberg chain
• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction

Cited by in corpus (7)

• 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
• Phase transitions and thermal entanglement of the distorted Ising-Heisenberg spin chain: topology of multiple-spin exchange interactions in spin ladders
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain in vicinity of a triple coexistence point
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain