Ground-state phase diagram and magnetization process of the exactly solved mixed spin-(1,1/2) Ising diamond chain

Abstract

The ground state and magnetization process of the mixed spin-(1,1/2) Ising diamond chain is exactly solved by employing the generalized decoration-iteration mapping transformation and the transfer-matrix method. The decoration-iteration transformation is first used in order to establish a rigorous mapping equivalence with the corresponding spin-1 Blume-Emery-Griffiths chain in a non-zero magnetic field, which is subsequently exactly treated within the framework of the transfer-matrix technique. It is shown that the ground-state phase diagram includes just four different ground states and the low-temperature magnetization curve may exhibit an intermediate plateau precisely at one half of the saturation magnetization. Our rigorous results disprove recent Monte Carlo simulations of Zihua Xin et al. [Z. Xin, S. Chen, C. Zhang, J. Magn. Magn. Mater. 324 (2012) 3704], which imply an existence of the other magnetization plateaus at 0.283 and 0.426 of the saturation magnetization.

6 pages, 3 figures

References in corpus (5)

• Multi-step approach to microscopic models for frustrated quantum magnets - the case of the natural mineral azurite
• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Generalized algebraic transformations and exactly solvable classical-quantum models
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Exactly solvable mixed-spin Ising-Heisenberg diamond chain with the biquadratic interactions and single-ion anisotropy

Cited by in corpus (7)

• Magnetization plateaus of an exactly solvable spin-1 Ising-Heisenberg diamond chain
• 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
• Phase transitions and magnetization of the mixed-spin Ising-Heisenberg double sawtooth frustrated ladder
• Exactly solved mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain
• Exactly solvable spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain