Magnetic properties, Lyapunov exponent and superstability of the spin-1/2 Ising-Heisenberg model on diamond chain

Abstract

The exactly solvable spin-1/2 Ising-Heisenberg model on diamond chain has been considered. We have found the exact results for the magnetization by using recursion relation method. The existence of the magnetization plateau has been observed at one third of the saturation magnetization in the antiferromagnetic case. Some ground-state properties of the model are examined. At low temperatures, the system has two ferrimagnetic (FRI1 and FRI2) phases and one paramagnetic (PRM) phase. Lyapunov exponents for the various values of the exchange parameters and temperatures have been analyzed. It have also been shown that the maximal Lyapunov exponent exhibits plateau. Lyapunov exponents exhibit different behavior for two ferrimagnetic phases. We have found the existence of the supercritical point for the multi-dimensional rational mapping of the spin-1/2 Ising-Heisenberg model on diamond chain for the first time at absence of the external magnetic field and $T\to 0$ in the antiferromagnetic case.

11 pages, 6 figures

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Cited by in corpus (10)

• Magnetization plateaus of an exactly solvable spin-1 Ising-Heisenberg diamond chain
• Entanglement, magnetic and quadrupole moments properties of the mixed spin Ising-Heisenberg diamond chain
• Exact results for a generalized spin-1/2 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
• Exactly solved mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain
• Superstable cycles for antiferromagnetic Q-state Potts and three-site interaction Ising models on recursive lattices
• 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
• Magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain in vicinity of a triple coexistence point
• Chaotic spin-spin entanglement on a recursive lattice
• Spin-1/2 Ising-Heisenberg distorted diamond chain with antiferromagnetic Ising and ferromagnetic Heisenberg interactions