Dynamics of the spin-1/2 Ising two-leg ladder with four-spin plaquette interaction and transverse field.,Physical Review E

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Dynamics of the spin-1/2 Ising two-leg ladder with four-spin plaquette interaction and transverse field.
Physical Review E ( IF 2.2 ) Pub Date : 2020-04-01 , DOI: 10.1103/physreve.101.042104
Wescley Luiz de Souza _{1,

2} , Érica de Mello Silva ₂ , Paulo H L Martins ₂

Affiliation

Multiple-spin coupling is a key tool for investigating magnetic quantum systems. In particular, models with four-spin interactions became of great interest since they have been applied to describe material properties such as superconductivity. In this framework, the dynamics of the spin-1/2 Ising two-leg ladder with four-spin plaquette interaction in a transverse field is investigated. By means of the recurrence relations method, the first four recurrants are determined exactly for the general model, while five exact recurrants are calculated for two particular models. In all cases, higher-order recurrants are computed through extrapolation to obtain time-dependent autocorrelation functions and spectral densities in the long-time regime and infinite-temperature limit. It is found that the relaxation functions decay slower than the expected behavior of the one-dimensional transverse Ising model. The spectral lines, characterized by a Lorentzian behavior in the central body and a Gaussian shape in the tails, display exchange narrowing as the coupling intensities increase.

中文翻译：

具有四旋翼板相互作用和横向场的自旋1/2 Ising两腿阶梯的动力学。

多自旋耦合是研究磁量子系统的关键工具。尤其是，具有四轴相互作用的模型已引起人们极大的兴趣，因为它们已被用于描述材料特性，例如超导性。在此框架下，研究了在横向场中具有四旋翼板相互作用的自旋1/2伊辛两腿阶梯的动力学。通过递归关系方法，可以为通用模型精确确定前四个递归，而为两个特定模型计算五个精确的递归。在所有情况下，都可以通过外推法计算出高阶递归，从而获得与时间相关的自相关函数以及在长时间范围和无限温度范围内的光谱密度。发现松弛函数的衰减比一维横向伊辛模型的预期行为要慢。光谱线的特征是中心体的洛伦兹行为和尾部的高斯形状，随着耦合强度的增加，交换显示变窄。

更新日期：2020-04-03

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