论文标题
$ xy $各向异性对横向磁场中的spin-1/2 $ xy $链中磁电效应的影响
Influence of $XY$ anisotropy on a magnetoelectric effect in spin-1/2 $XY$ chain in a transverse magnetic field
论文作者
论文摘要
考虑到横向磁场中的Spin-1/2 $ XY $链中的Katsura-Nagaosa-Balatsky机制，磁电效应。选择电场的空间取向以根据自由无旋转费米子提供模型的精确解决方案。量子自旋链的最简单模型表明磁电效应是带有Katsura-Nagaosa-Balatsky机制的横向磁场中的Spin-1/2 $ XX $链的零温度情况。该模型具有最简单的磁化，极化和敏感性功能的形式，具体取决于最简单形式的电场和磁场。对于任意$ xy $各向异性的情况，可以弄清楚磁化对$ xy $ anisotropy参数的非单调依赖性。这种不均匀的行为受临界点的控制，该临界点与使系统无处不在或被电场掩盖的可能性有关。显示了在系统参数的临界值处的磁电敏感性的奇异性。
A magnetoelectric effect according to Katsura-Nagaosa-Balatsky mechanism in spin-1/2 $XY$ chain in transverse magnetic field is considered. A spatial orientation of the electric field is chosen to provide an exact solution of the model in terms of free spinless fermions. The simplest model of quantum spin chain demonstrating a magnetoelectric effect, a zero temperature case of the spin-1/2 $XX$ chain in a transverse magnetic field with Katsura-Nagaosa-Balatsky mechanism, is considered. The model has the simplest possible form of the magnetization, polarization and susceptibility functions, depending on electric and magnetic fields in a most simple form. For the case of arbitrary $XY$ anisotropy, a non-monotonous dependence of magnetization on the $XY$ anisotropy parameter is figured out. This non-uniform behaviour is governed by the critical point which is connected with the possibility to drive the system gapless or gapped by the electric field. Singularities of the magnetoelectric susceptibility at the critical value of system parameters are shown.
