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arXiv:cond-mat/0109364 · Journal of Physics Condensed Matter

Spin dynamics of a one-dimensional spin-1/2 fully anisotropic Ising-like antiferromagnet in a transverse magnetic field

Asimkumar Ghosh

Published May 18, 2001• 6 citations
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Abstract

We consider the one-dimensional Ising-like fully anisotropic S = 1/2 Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain wall excitations in the presence of a transverse magnetic field h x . We obtain dynamical spin correlation functions along the magnetic field, S xx ( q ,ω), and perpendicular to it, S yy ( q ,ω). It is shown that the line shapes of S xx ( q ,ω) and S yy ( q ,ω) are purely symmetric at the zone boundary. It is observed in S yy ( q ,ω) for π/2< q <π that the spectral weight moves toward the low-energy side with the increase of h x . This model is applicable to the study of the spin dynamics of CsCoCl 3 in the presence of weak interchain interactions.

DOI
10.1088/0953-8984/13/22/314

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We consider the one-dimensional Ising-like fully anisotropic S = 1/2 Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain wall excitations in the presence of a transverse magnetic field h x . We obtain dynamical spin correlation functions along the magnetic field, S xx ( q ,ω), and perpendicular to it, S yy ( q ,ω). It is shown that the line shapes of S xx ( q ,ω) and S yy ( q ,ω) are purely symmetric at the zone boundary. It is observed in S yy ( q ,ω) for π/2< q <π that the spectral weight moves toward the low-energy side with the increase of h x . This model is applicable to the study of the spin dynamics of CsCoCl 3 in the presence of weak interchain interactions.
The effect of the transverse magnetic field h x on the spin dynamics of a one dimensional Ising-like S =1/2 antiferromagnet is discussed. Based on a picture of the propagating domain walls, we obtain dynamical spin correlation functions along the magnetic field S x x ( k ,ω) and perpendicular to it S y y ( k ,ω). A remarkable effect is seen in S y y ( k ,ω) for π/2 ≤ k ≤π, where the spectral weight moves toward the low energy side with the increase of h x . The theory is applied to the analysis of the spin dynamics of CsCoCl 3 , taking into account weak interchain interactions. Zeeman ladders occur and S y y ( k , ω) for k ∼π exhibits a novel feature under the existence of h x .
We consider a one-dimensional Ising-like fully anisotropic S=12S=\frac{1}{2}S=21​ Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain-wall excitations in the presence of a staggered magnetic field, hx{h}_{x}hx​, 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 hx{h}_{x}hx​. We discuss the relevance of this model to explain the spin dynamics of CsCoCl3{\text{CsCoCl}}_{3}CsCoCl3​ in presence of weak staggered field.
We study effects of a transverse magnetic field on the properties of the one-dimensional spin-1/2 Ising-like antiferromagnet. In order to emphasize the relevant role of domain walls between opposite antiferromagnetic domains, the spin Hamiltonian is exactly mapped to the interacting fermion Hamiltonian, via the dual transformation as well as the Jordan-Wigner transformation. Within the generalized Hartree-Fock approximation, we find that the excitation spectrum exhibits characteristic features, which are explained as a result of the different roles of the transverse field and of the transverse components of the exchange interactions in the propagation of the domain wall. At a critical field where the excitation gap vanishes, a ground-state phase transition is found to take place in the same manner as that in the transverse Ising model. In addition, we discuss the relevance of our magnetization curve with regard to experimental data in CsCoCl 3 .
Dynamics of one-dimensional Ising-like (strongly anisotropic) antiferromagnets is studied by the perturbation theory from the pure Ising limit and by an exact calculation for finite chains. Both calculations show that the des Cloizeaux-Gaudin (dC-G) “spin-wave” spectrum corresponds neither to a lower bound of excitation continuum nor to the peak position of the transverse response Sxx(Q, ω). A new interpretation is given of the spin-wave spectrum of CsCoCl3 without relying on the dC-G theory. It is also shown that at elevated temperatures Sxx(Q, ω) has a three-peak structure. The longitudinal response Sxx(Q, ω) at low temperatures has a weak peak at the position of spin wave peak, while with increasing temperature Sxx(Q, ω) is dominated by the central peak due to thermally activated solitons, which was predicted by Villain.
We investigate analytically and numerically the dynamics of domain walls in a spin chain with ferromagnetic Ising interaction and subject to an external magnetic field perpendicular to the easy magnetization axis (transverse field Ising model). The analytical results obtained within the continuum approximation and numerical simulations performed for the discrete classical model are used to analyze the quantum properties of domain walls using the semiclassical approximation. We show that the domain wall spectrum shows a band structure consisting of 2S2S2S nonintersecting zones.