Effect of Dzyaloshinskii-Moriya Interaction on Heisenberg Antiferromagnetic Spin Chain in the Presence of a Longitudinal Magnetic Field

H. T. Pham, T. T. Ngo, T. T. Le, D. L. Hoang, T. Phan, H. C. Nguyen
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Abstract

Using functional integral method for the Heisenberg antiferromagnetic spin chain with the added Dzyaloshinskii-Moriya Interaction in the presence of the longitudinal magnetic field, we find out expression for free energy of the spin chain via spin fluctuations, from which quantities characterize the antiferromagnetic order and phase transition such as staggered and total magnetizations derived. From that, we deduce the significant effect of the Dzyaloshinskii-Moriya interaction on the reduction of the antiferromagnetic order and show that the total magnetization can be deviated from the initial one under the influence of canting of the spins due to a combination of the Dzyaloshinskii-Moriya interaction and the magnetic field. Besides, the remarkable role of the transverse spin fluctuations due to the above factors on the antiferromagnetic behaviours of the spin chain is also indicated.  
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纵向磁场作用下Dzyaloshinskii-Moriya相互作用对海森堡反铁磁自旋链的影响
利用泛函数积分法对纵向磁场存在下加入Dzyaloshinskii-Moriya相互作用的Heisenberg反铁磁自旋链,通过自旋涨落得到了自旋链自由能的表达式,并由此导出了表征反铁磁有序和交错磁化和总磁化等相变的量。由此,我们推导出Dzyaloshinskii-Moriya相互作用对反铁磁有序度降低的显著影响,并表明由于Dzyaloshinskii-Moriya相互作用和磁场的共同作用,在自旋倾斜的影响下,总磁化强度会偏离初始磁化强度。此外,还指出了由上述因素引起的横向自旋涨落对自旋链的反铁磁行为的显著作用。
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ĐÁNH GIÁ TIỀM NĂNG CỦA CÂY CHANH LƯƠNG (Leptocarpus disjunctus Mast.) TỪ TỰ NHIÊN Ở MIỀN TRUNG, VIỆT NAM LÀM THỨC ĂN CHO GIA SÚC NHAI LẠI DẪN LIỆU BƯỚC ĐẦU VỀ TÍNH CHẤT ĐỊA LÝ ĐỘNG VẬT ỐC NƯỚC NGỌT NỘI ĐỊA TẠI THỪA THIÊN HUẾ CÁC HỢP CHẤT FLAVONOID VÀ DIARYLHEPTANOID TỪ CÂY CONAMOMUM RUBIDUM LAMXAY & N.S.LÝ LOẠI BỎ CHÌ KHỎI NƯỚC THẢI CÔNG NGHIỆP BẰNG CÂY CỎ MỰC (Eclipta alba) NGHIÊN CỨU XÁC ĐỊNH ĐỒNG THỜI CHÌ VÀ CADIMI TRONG MÔI TRƯỜNG NƯỚC BẰNG PHƯƠNG PHÁP VON-AMPE HÒA TAN SỬ DỤNG ĐIỆN CỰC BIẾN TÍNH BiF/ErGO-GCE
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