Effects of double-Gaussian disorder on the dynamics of the quantum<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>chain

Xu, Zhen-Bo; Kong, Xiangbin; Liu, Zhongqiang

doi:10.1103/physrevb.77.184414

Cited by 10 publications

(13 citation statements)

References 35 publications

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“…From above discussion, we can see that the dynamical behavior of the system is affected by the competition between the spin-spin interactions and the external fields, not by the different disordered distribution. Also, it is easy to find that the dynamics of the system is similar to that of the 1-D quantum XY model [28] when ∆ is small (e.g., ∆ = 0.01). When ∆ = 0, the XXZ model becomes the isotropy XY model.…”

Section: Double-gaussian Distributionmentioning

confidence: 87%

“…The recurrence relations method has been proved to be very powerful in the calculation of dynamic correlation function [13,23,24,[27][28][29][30]37]. Next, we will give a brief introduction to this method.…”

Section: Model and Methodsmentioning

confidence: 99%

“…Later, the dynamics of the four-body transverse Ising model has been investigated for the cases of bond and field randomness [24], following which, a series of spin systems such as the XY model with zero magnetic, the transverse Ising model with Gaussian distribution and two-dimensional transverse Ising model etc. have also been studied [25][26][27][28][29]. A recent study shows that the next-nearest-neighbor interaction has a strong influence on the dynamics of the Ising system [30].…”

Section: Introductionmentioning

confidence: 99%

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Effects of random fields on the dynamics of the one-dimensional quantum XXZ model

Shen¹,

Yuan²,

Kong³

2010

Preprint

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The dynamics of the one-dimensional spin-1/2 quantum XXZ model with random fields is investigated by the recurrence relations method. When the fields satisfy the bimodal distribution, the system shows a crossover between a collective-mode behavior and a central-peak one with increasing field while the anisotropy parameter ∆ is small; a disordered behavior replaces the crossover as ∆ increases. For the cases of Gaussian and double-Gaussian distributions, when the standard deviation is small, the results are similar to that of the bimodal distribution; while the standard deviation is large enough, the system only shows a disordered behavior regardless of ∆.

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Section: Double-gaussian Distributionmentioning

confidence: 87%

Section: Model and Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of random fields on the dynamics of the one-dimensional quantum XXZ model

Shen¹,

Yuan²,

Kong³

2010

Preprint

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“…Some exact results have been obtained for the one-dimensional (1-D) pure quantum spin models, e.g., the 1-D transverse Ising model and the 1-D XY model [4,5,6]. Recently, more attention has been paid to the investigation of the dynamical behavior of disordered systems [7,8,9,10,11,12], which can be applied to describe the properties of many materials such as window glass, magnets with frozen-in disorder, etc.. One simple but important example of such systems is the 1-D random transverse Ising model (RTIM).…”

Section: Introductionmentioning

confidence: 99%

“…Recently, we have investigated the effects of Gaussian disorder on the dynamics of the 1-D RTIM [12], and have found that there are two crossovers when the standard deviation of random variables is small and there is no crossover if the value of the standard deviation is large enough. Besides, the dynamical behavior of the random-bond transverse Ising model with four-spin interactions [13] and the disordered XY chain [9,10,11] have been studied.…”

Section: Introductionmentioning

confidence: 99%

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

Yuan¹,

Kong²,

Xu³

et al. 2010

Physica A: Statistical Mechanics and its Applications

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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 bimodal disorder the dynamics of the system undergoes a crossover from a collective-mode behavior to a central-peak one and for the 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 K i increase, especially when K i > J i /2 (J i and K i are exchange couplings of the NN and NNN interactions, respectively). However, the effects are small when the NNN interactions are weak (K i < J i /2).

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The dynamics of one-dimensional random quantumXYsystem with Dzyaloshinskii—Moriya interaction

Yin-Fang¹,

Kong²

2013

Chinese Phys. B

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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.

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Effects of double-Gaussian disorder on the dynamics of the quantumXYchain

Cited by 10 publications

References 35 publications

Effects of random fields on the dynamics of the one-dimensional quantum XXZ model

Effects of random fields on the dynamics of the one-dimensional quantum XXZ model

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

The dynamics of one-dimensional random quantumXYsystem with Dzyaloshinskii—Moriya interaction

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