Dynamics of the one-dimensional random transverse Ising model with next-nearest-neighbor interactions

Xiao-Juan Yuan, Xiang-Mu Kong, Zhen-Bo Xu and Zhong-Qiang Liu

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 2, 242-248

Abstract: The dynamics of the one-dimensional random transverse Ising model with both nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions is studied in the high-temperature limit by the method of recurrence relations. Both the time-dependent transverse correlation function and the corresponding spectral density are calculated for two typical disordered states. We find that for the case of bimodal disorder the dynamics of the system undergoes a crossover from a collective-mode behavior to a central-peak one and for the case of Gaussian disorder the dynamics is complex. For both cases, 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 the exchange couplings of the NN and NNN interactions, respectively). However, the effects are small when the NNN interactions are weak (KiKeywords: Ising model; Method of recurrence relations; Correlation function; Spectral density (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:2:p:242-248

DOI: 10.1016/j.physa.2009.08.021

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