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Acta Physica Sinica

Effects of next-nearest-neighbor interactions on the dynamics of random quantum Ising model

Xiao-Juan Yuan, Zhao Bang-Yu, Chen Shu-Xia, Xiang-Mu Kong, (1)积成电子股份有限公司，济南 250100; (2)山东省激光偏光与信息技术重点实验室，曲阜师范大学物理工程学院，曲阜 273165; (3)山东省激光偏光与信息技术重点实验室，曲阜师范大学物理工程学院，曲阜 273165；山东大学物理学院，晶体材料国家重点实验室，经济 250100

Published Jan 1, 2010• 4 citations
Publisher

Abstract

The dynamics of one-dimensional random quantum Ising model with both nearest-neighbor and next-nearest-neighbor （NNN） interactions is investigated in the high temperature limit by the method of recurrence relations. Spin autocorrelations and the corresponding spectral densities of the system are calculated. Supposing that the exchange couplings （or the transverse fields） satisfy the double-Gaussian distribution, the effects of this distribution on the dynamics of the system is studied. The results show that the dynamics of the system undergoes a crossover from a collective-mode behavior to a central-peak one when the standard deviations σJ（or σB）of the random variables are small and there is no crossover when σJ（or σB）are large. Meanwhile, the effects of NNN interactions on the dynamics of the system are studied. It is found that the central-peak behavior becomes more obvious and the collective-mode behavior becomes weaker as Ki increase, especially when Ki>Ji/2（Ji and Ki are exchange couplings of the NN and NNN interactions, respectively）. However, the effects are small when the NNN interactions are weak （KiJi/2）.

DOI
10.7498/aps.59.1499

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