Dynamics of one-dimensional random quantum XY system with Dzyaloshinskii–Moriya interaction

doi:10.1088/1674-1056/22/3/037502

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 37502-037502.doi: 10.1088/1674-1056/22/3/037502

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Dynamics of one-dimensional random quantum XY system with Dzyaloshinskii–Moriya interaction

李银芳, 孔祥木

Shandong Provincial Key Laboratory of Laser Polarization and Information Technology,Department of Physics, Qufu Normal University, Qufu 273165, China

收稿日期:2012-06-22 修回日期:2012-09-26 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10775088), the Shandong Natural Science Foundation, China (Grant No. Y2006A05), and the Science Foundation of Qufu Normal University, China.

Dynamics of one-dimensional random quantum XY system with Dzyaloshinskii–Moriya interaction

Li Yin-Fang (李银芳), Kong Xiang-Mu (孔祥木)

Shandong Provincial Key Laboratory of Laser Polarization and Information Technology,Department of Physics, Qufu Normal University, Qufu 273165, China

Received:2012-06-22 Revised:2012-09-26 Online:2013-02-01 Published:2013-02-01
Contact: Kong Xiang-Mu E-mail:kongxm@mail.qfnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10775088), the Shandong Natural Science Foundation, China (Grant No. Y2006A05), and the Science Foundation of Qufu Normal University, China.

摘要/Abstract

摘要： In this paper, the effects of random variables on the dynamics of the s=1/2 XY model with the Dzyaloshinskii-Moriya interaction are studied. By means of the recurrence relation method in the high-temperature limit, we calculate the spin autocorrelation functions as well as the corresponding spectral densities for the cases that the exchange couplings between spins or external magnetic fields satisfy the double-Gaussian distribution. It is found that when the standard deviation of random exchange coupling δ_j (or the standard deviation of random external field δ_B) is small, the dynamics of the system undergoes a crossover from a collective-mode behavior to a central-peak one. However, when δ_J (or δ_B) is large, the crossover vanishes, and the system shows a central-peak behavior or the most disordered one. We also analyze the cases in which the exchange couplings or the external fields satisfy the bimodal and the Gaussian distributions. Our results show that for all the cases considered, the dynamics of the above system is similar to that of the one-dimensional random XY model.

关键词: correlation function, spectral density, Dzyaloshinskii-Moriya interaction, recurrence relation method

Abstract: In this paper, the effects of random variables on the dynamics of the s=1/2 XY model with the Dzyaloshinskii–Moriya interaction are studied. By means of the recurrence relation method in the high-temperature limit, we calculate the spin autocorrelation functions as well as the corresponding spectral densities for the cases that the exchange couplings between spins or external magnetic fields satisfy the double-Gaussian distribution. It is found that when the standard deviation of random exchange coupling δ_j (or the standard deviation of random external field δ_B) is small, the dynamics of the system undergoes a crossover from a collective-mode behavior to a central-peak one. However, when δ_J (or δ_B) is large, the crossover vanishes, and the system shows a central-peak behavior or the most disordered one. We also analyze the cases in which the exchange couplings or the external fields satisfy the bimodal and the Gaussian distributions. Our results show that for all the cases considered, the dynamics of the above system is similar to that of the one-dimensional random XY model.

Key words: correlation function, spectral density, Dzyaloshinskii–Moriya interaction, recurrence relation method

中图分类号: (Spin chain models)

75.10.Pq

75.10.Jm (Quantized spin models, including quantum spin frustration) 75.40.Gb (Dynamic properties?) 75.50.Lk (Spin glasses and other random magnets)

李银芳, 孔祥木. Dynamics of one-dimensional random quantum XY system with Dzyaloshinskii–Moriya interaction[J]. 中国物理B, 2013, 22(3): 37502-037502.

Li Yin-Fang (李银芳), Kong Xiang-Mu (孔祥木). Dynamics of one-dimensional random quantum XY system with Dzyaloshinskii–Moriya interaction[J]. Chin. Phys. B, 2013, 22(3): 37502-037502.

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Dynamics of one-dimensional random quantum XY system with Dzyaloshinskii–Moriya interaction

Dynamics of one-dimensional random quantum XY system with Dzyaloshinskii–Moriya interaction

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