论文标题
迪拉克费米斯的非高米特异对角磁反应
Non-hermitian off-diagonal magnetic response of Dirac fermions
论文作者
论文摘要
在打开一个真实（遗传学）或想象中的（非铁元素）磁场之后，我们对一个和二维巨大的狄拉克电子的线性响应理论进行了比较研究。当Hermitian DC磁场在外部磁场的方向上旋转旋转时，非热磁场仅诱导对角线反应。垂直于质量项的假想DC磁场仅根据右手规则在第三方向诱导有限磁化。可以通过分析自旋运动的非热运动方程来理解，该方程与交叉电场和磁场中的经典粒子类似。在其中，旋转期望值，质量项和虚电场分别起着经典动量，磁场和电场的作用。后两个产生了垂直于它们的漂移速度，这引起了DC旋转易感性的异构分量，与大厅效应在经典描述中的发展相似。
We perform a comparative study for the magnetization dynamics within linear response theory of one and two dimensional massive Dirac electrons, after switching on either a real (hermitian) or an imaginary (non-hermitian) magnetic field. While hermitian dc magnetic fields polarize the spins in the direction of the external magnetic field, non-hermitian magnetic fields induce only off diagonal response. An imaginary dc magnetic field perpendicular to the mass term induces finite magnetization in the third direction only according to the right hand rule. This can be understood by analyzing the non-hermitian equation of motion of the spin, which becomes analogous to a classical particle in crossed electric and magnetic fields. Therein, the spin expectation value, the mass term and imaginary magnetic field play the role of the classical momentum, magnetic and electric field, respectively. The latter two create a drift velocity perpendicular to them, which gives rise to the off-diagonal component of the dc spin susceptibility, similarly to how the Hall effect develops in the classical description.
