We use finite-size scaling to determine the critical properties of spin-1 chains with uniaxial single-ion anisotropy $D$ . A phase diagram is obtained in the ( $D$ , $\ensuremath{\Delta}$) plane, where $\ensuremath{\Delta}$ is the strength of the interaction in the direction of the single-ion anisotropy. Critical exponents are estimated.We use finite-size scaling to determine the critical properties of spin-1 chains with uniaxial single-ion anisotropy $D$. A phase diagram is obtained in the ($D$, $\ensuremath{\Delta}$) plane, where $\ensuremath{\Delta}$ is the strength of the interaction in the direction of the single-ion anisotropy. Critical exponents are estimated.

Physical review. B, Condensed matterJul 1, 198486 citations

Critical behavior of quantum spin systems with uniaxial single-ion anisotropy

Xuelong Zhang, Qing Jiang, Zhengya Li

Physics Letters AFeb 1, 19941 citation

Phase diagram of spin-1 quantum Ising-Heisenberg models

Carla Buzano

The phase diagram at T = 0 of a family of spin-1 quantum Ising-Heisenberg models is studied using a mean-field approximation. The model Hamiltonian is characterized by single ion anisotropy terms D μ , (μ = x, y, z ) and by two positive parameters η x , η y measuring the degree of anisotropy of the interaction. They allow to describe a variety of models: among them the spin-1 Ising-Blume-Capel model (η x = η y = 0), and the isotropic Heisenberg model (η x = η y = 1). Both dipolar and quadrupolar order parameters are used to derive the phase diagram in the parameter space (η x , η y , D μ ). The resulting phase diagram is rather complex as it exhibits first and second order critical transitions as well as multicritical points.The phase diagram at T = 0 of a family of spin-1 quantum Ising-Heisenberg models is studied using a mean-field approximation. The model Hamiltonian is characterized by single ion anisotropy terms D μ , (μ = x, y, z ) and by two positive parameters η x , η y measuring the degree of anisotropy of the interaction. They allow to describe a variety of models: among them the spin-1 Ising-Blume-Capel model (η x = η y = 0), and the isotropic Heisenberg model (η x = η y = 1). Both dipolar and quadrupolar order parameters are used to derive the phase diagram in the parameter space (η x , η y , D μ ). The resulting phase diagram is rather complex as it exhibits first and second order critical transitions as well as multicritical points.

Physica ScriptaApr 1, 19884 citations

We use finite-size scaling to determine the critical properties of spin-1 chains with uniaxial single-ion anisotropy

D

. A phase diagram is obtained in the (

D

, $\ensuremath{\Delta}$) plane, where $\ensuremath{\Delta}$ is the strength of the interaction in the direction of the single-ion anisotropy. Critical exponents are estimated.