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Acta Physica Sinica

Field-induced specific heat for the antiferromagnetic chain with single-ion anisotropy

Shi Wen Yu, Xing Huai-Zhong, Zhang Huai-wu, Jing Yu-Lan, Yingli Liu, (1)电子科技大学微电子与固体电子学院,成都 610054; (2)东华大学物理系,上海 200051

Published Jan 1, 2005• 0 citations
Publisher

Abstract

The thermodynamic properties in one-dimensional S=1 Heisenberg antiferromagnet with single-ion anisotropy in the presence of a transverse magnetic field is obtained on the basis of the Schwinger boson mean-field theory. The anomalies of the specific heat at low temperatures, which might be an indicative of a field-induced transition from a Luttinger liquid phase to an ordered phase, are explicitly uncovered under the transverse field. A schematic phase diagram is proposed. The little effect of the single-ion anisotropy on specific heat is also observed, the result is very different from that obtained under a longitudinal field. All results above are expected to be helpful for the experimental investigation.

DOI
10.7498/aps.54.280

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The field-induced transition in one-dimensional S=1S=1S=1 Heisenberg antiferromagnets with single-ion anisotropy in the presence of a transverse magnetic field is obtained on the basis of the Schwinger-boson mean-field theory. The behaviors of the specific heat and susceptibility as functions of temperature as well as the applied transverse field are explored, which are found to be different from the results obtained under a longitudinal field. The anomalies of the specific heat at low temperatures, which might be indicative of a field-induced transition from a Luttinger liquid phase to an ordered phase, are explicitly uncovered under the transverse field. A schematic phase diagram is proposed. The theoretical results are compared with experimental observations.
The specific heat of a spin-one Heisenberg antiferromagnetic chain with transverse and longitudinal single-ion anisotropies in the presence of an applied magnetic field is explored on the basis of the Schwinger boson mean-field theory. The specific heat as functions of temperature, the anisotropy as well as the applied field are discussed, respectively. The results indicate that new features of the specific heat as a function of temperature at the transverse single-ion anisotropy are very different from those obtained at longitudinal single-ion anisotropy in an applied transverse field.
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The one-dimensional spin-1/2 XXZXXZXXZ model in a mixed transverse and longitudinal magnetic field is studied. Using the specially developed version of the mean-field approximation the order-disorder transition induced by the magnetic field is investigated. The ground-state phase diagram is obtained. The behavior of the model in the low transverse field is studied on the basis of conformal field theory. The relevance of our results to the observed phase transition in the quasi-one-dimensional antiferromagnet Cs2CoCl4{\mathrm{Cs}}_{2}{\mathrm{CoCl}}_{4}Cs2​CoCl4​ is discussed.
The field-induced long-range antiferromagnetic order in the quasi-one-dimensional S=1 antiferromagnet is investigated with the exact diagonalization of finite chains and the mean field approximation for the interchain interaction. In the presence of the single-ion anisotropy D, we present the phase diagrams in the plane of the magnetic field H and the temperature T for H∥D and H⊥D. It is found that the two boundary curves of the ordered phase for H∥D and H⊥D have two intersections in the case of D>0 (XY like), while no intersection in the case of D<0 (Ising like).
In the present paper, we investigate the quantum phase transition in a spatially anisotropic antiferromagnetic Heisenberg model of S = 1 with single-ion energy anisotropy. By using the Schwinger boson representation, we calculate the Gaussian correction to the critical value J ⊥ c caused by quantum spin fluctuations. We find that, for the positive single-ion energy, a nonzero value of J ⊥ c is always needed to stabilize the antiferromagnetic long-range order in this model. It resolves a difference among literature and shows clearly that the effect of quantum fluctuations may qualitatively change a result obtained by the mean-field theories on lower-dimensional systems.