We consider a one-dimensional Ising-like fully anisotropic $S=\frac{1}{2}$ Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain-wall excitations in the presence of a staggered magnetic field, ${h}_{x}$ , along the transverse direction. We obtain dynamical spin-correlation functions along the magnetic field, ${S}^{xx}(q,\ensuremath{\omega})$, and perpendicular to it, ${S}^{yy}(q,\ensuremath{\omega})$. It is shown that the line shapes of ${S}^{xx}(q,\ensuremath{\omega})$ and ${S}^{yy}(q,\ensuremath{\omega})$ are purely symmetric at the zone boundary, $q=\frac{\ensuremath{\pi}}{2}$. It is observed in ${S}^{xx}(q,\ensuremath{\omega})$ for $\ensuremath{\pi}/2<q<\ensuremath{\pi}$ that the spectral weight moves toward high-energy side with the increase in ${h}_{x}$ . We discuss the relevance of this model to explain the spin dynamics of ${\text{CsCoCl}}_{3}$ in presence of weak staggered field.We consider a one-dimensional Ising-like fully anisotropic $S=\frac{1}{2}$ Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain-wall excitations in the presence of a staggered magnetic field, ${h}_{x}$, along the transverse direction. We obtain dynamical spin-correlation functions along the magnetic field, ${S}^{xx}(q,\ensuremath{\omega})$, and perpendicular to it, ${S}^{yy}(q,\ensuremath{\omega})$. It is shown that the line shapes of ${S}^{xx}(q,\ensuremath{\omega})$ and ${S}^{yy}(q,\ensuremath{\omega})$ are purely symmetric at the zone boundary, $q=\frac{\ensuremath{\pi}}{2}$. It is observed in ${S}^{xx}(q,\ensuremath{\omega})$ for $\ensuremath{\pi}/2<q<\ensuremath{\pi}$ that the spectral weight moves toward high-energy side with the increase in ${h}_{x}$. We discuss the relevance of this model to explain the spin dynamics of ${\text{CsCoCl}}_{3}$ in presence of weak staggered field.

Physical Review BDec 21, 20097 citations

Quantum ising model with staggered interaction

F. Igl�i, J. Zittartz

The European Physical Journal BSep 1, 19889 citations

Spin-1/2 Ising model on a AFM/FM two-layer Bethe lattice in a staggered magnetic field

Joel Kple, Siaka Massou, Félix Hontinfinde +1 more

Chinese Journal of PhysicsApr 12, 20184 citations

THE MIXED SPIN-1 AND SPIN-5/2 BEG MODEL IN A STAGGERED MAGNETIC FIELD

Joel Kple, R. A. A. Yessoufou, Félix Hontinfinde

The mixed spin-1 and spin5 2 Ising model with bilinear (J) and biquadratic (K) nearest-neighbor exchange interactions and a single-ion potential or crystal-field interaction (D) is investigated by means of recursion relations on the Bethe lattice in the presence of a staggered magnetic field. The interactions are assumed to be only between nearestneighbors. The competition between model parameters leads to very rich T=0 phase diagrams which may be useful to explore interesting domains of the finite-temperature phase diagrams of the model. Some thermal properties of the system are presented. The magnetization is also described by numerical simulations of the model on a square lattice using Glauber stochastic dynamics in the presence of an oscillating external staggered field. Our present results bear little resemblance to those previously reported on various kinetic Ising systems obtained by integrating differential equations.The mixed spin-1 and spin5 2 Ising model with bilinear (J) and biquadratic (K) nearest-neighbor exchange interactions and a single-ion potential or crystal-field interaction (D) is investigated by means of recursion relations on the Bethe lattice in the presence of a staggered magnetic field. The interactions are assumed to be only between nearestneighbors. The competition between model parameters leads to very rich T=0 phase diagrams which may be useful to explore interesting domains of the finite-temperature phase diagrams of the model. Some thermal properties of the system are presented. The magnetization is also described by numerical simulations of the model on a square lattice using Glauber stochastic dynamics in the presence of an oscillating external staggered field. Our present results bear little resemblance to those previously reported on various kinetic Ising systems obtained by integrating differential equations.

The African review of physicsOct 26, 20121 citation

Multimagnetical simulation of the Ising model

Ulrich H. E. Hansmann

Nuclear Physics B - Proceedings SupplementsMar 1, 19932 citations

We consider a one-dimensional Ising-like fully anisotropic

S=\frac{1}{2}

Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain-wall excitations in the presence of a staggered magnetic field,

{h}_{x}

, along the transverse direction. We obtain dynamical spin-correlation functions along the magnetic field, ${S}^{xx}(q,\ensuremath{\omega})$, and perpendicular to it, ${S}^{yy}(q,\ensuremath{\omega})$. It is shown that the line shapes of ${S}^{xx}(q,\ensuremath{\omega})$ and ${S}^{yy}(q,\ensuremath{\omega})$ are purely symmetric at the zone boundary, $q=\frac{\ensuremath{\pi}}{2}$. It is observed in ${S}^{xx}(q,\ensuremath{\omega})$ for $\ensuremath{\pi}/2<q<\ensuremath{\pi}$ that the spectral weight moves toward high-energy side with the increase in

{h}_{x}

. We discuss the relevance of this model to explain the spin dynamics of

{\text{CsCoCl}}_{3}

in presence of weak staggered field.