自旋效应对带电粒子与双层二维电子气相互作用的影响  

Influence of Spin Effect on the Interaction between Charged Particles and Two-dimensional Electron Gas

作　　者：陈爽 李春芝[1] CHEN Shuang;LI Chun-zhi(College of Mathematics and Physics,Inner Mongolia Minzu University,Tongliao 028043,China)

机构地区：[1]内蒙古民族大学数理学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2022年第2期106-111,共6页Journal of Inner Mongolia Minzu University：Natural Sciences

基　　金：内蒙古自治区留学人员科技活动项目(2014-350);内蒙古人才开发基金(2016-149)。

摘　　要：采用线性化自旋量子流体动力学模型(Spin quantum hydrodynamic model SQHD)与Poisson方程相结合,研究了在外加磁场的作用下,电子自旋效应对带电粒子与双层二维电子气平面相互作用的影响。在适当的边界条件下,推导出两个平面内感应电子气密度、空间感应电势和感应电场对入射粒子的阻止力的一般表达式。结果表明,自旋效应对电子气密度分布和阻止力随速度变化均有一定的影响。在入射粒子附近,磁场使自旋向上的电子气密度振荡加强,而对自旋向下的电子气密度振荡起到抑制作用。由于两个电子气平面的相互耦合作用,阻止力随速度变化曲线出现了明显的双峰结构,随着入射磁场振幅和波数的增大,在速度较高的区域,无论电子自旋向上或向下,曲线均出现了明显的振荡衰减情况。The linear spin quantum hydrodynamics model(SQHD)and Poisson equation are used to study the influence of electron spin effect on the interaction between charged particles and two-dimensional electron gas plane under the action of external magnetic field. General expressions of the stopping force of induced electron gas density,the induced electric potential and induced electric field on the incident particle in two planes are obtained by selecting the appropriate boundary conditions. The results show that the spin effect has obviously influence on both the distribution of electron gas density and the change of stopping force with speed. Near the incident particles,the magnetic field strengthens the spin-up but suppresses the spin-down oscillation of the electron gas density. Meanwhile,an obvious double-peak structure appears in the curves of the stopping force versus the incident particle speed due to the mutual coupling of the two electron gas planes,with the increase of amplitude and wave number of the incoming electromagnetic waves,and an oscillation attenuation occurs to the curves in the high-speed zone whether the electron spins are up and down.

关 键 词：自旋量子流体动力学模型 双层二维电子气 扰动电子气密度 阻止力 

分 类 号：O539[理学—等离子体物理]