论文标题
Spin-1/2 $ xx $链条在横向字段中带有定期交替的$ g $ - 因素:静态和动态属性
Spin-1/2 $XX$ chain in a transverse field with regularly alternating $g$-factors: Static and dynamic properties
论文作者
论文摘要
我们考虑沿着$ z $轴的外部磁场中的Spin-1/2各向同性$ XY $链,并定期改变$ g $ factors。为了揭示常规交替交替的$ g $因子的影响,我们计算了基态和有限温度下的各种静态和动态平衡量。我们证明,由于定期交替的$ g $因子可能会消失,并且在基态下易感性的场依赖性在零场中具有额外的对数奇异性。此外,零场敏感性的对数奇异性为$ t \至0 $。此外,动态结构因子在“波动矢量 - 频率”平面中表现出更多的结构,可以将其追溯到两屈光度激发连续性的修改,这些continua专门确定$ s_ {zz}(κ,ω)$,并主导$ s_ {xx}(xx}(κ,ω)$的属性。我们讨论在相应物质上的动态实验中可以观察到哪些变化。
We consider the spin-1/2 isotropic $XY$ chain in an external magnetic field directed along $z$ axis with periodically varying $g$-factors. To reveal the effects of regularly alternating $g$-factors, we calculate various static and dynamic equilibrium quantities in the ground state and at finite temperatures. We demonstrate that because of the regularly alternating $g$-factors the saturation field may disappear and the field dependence of the susceptibility in the ground state has additional logarithmic singularity at zero field. Moreover, the zero-field susceptibility has a logarithmic singularity as $T\to 0$. Furthermore, the dynamic structure factors exhibit much more structure in the "wave vector -- frequency" plane that can be traced out to modifications of the two-fermion excitation continua which exclusively determine $S_{zz}(κ,ω)$ and dominate the properties of $S_{xx}(κ,ω)$. We discuss what changes can be observed in dynamic experiments on the corresponding substances.