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Rashba自旋轨道耦合对电子自旋磁化率的影响
The Effect of Rashba Spin-Orbital Coupling on Electronic Spin Susceptibility
【摘要】 研究了哈伯德强关联系统中,Rashba自旋轨道耦合(R-SOC)对二维正方晶格的自旋磁化率的影响.在线性响应理论中,自旋磁化率可以表示为推迟格林函数.对它所遵守的运动方程做哈特利-福克近似(HFA)和无规位相近似(RPA),再通过数值求解可得自旋磁化率.结果表明:没有R-SOC的静态磁化率Reχ(q,ω=0)随着库伦排斥势U的增大而增大,随温度T的增大而减小,库伦排斥势和温度对动态磁化率Reχ(q,ω=0)也有相似的影响.在加入R-SOC后,自旋轨道耦合的自旋磁化率实部在q=0附近形成了平底,而且平底宽度随VSO的增加而增大.同时自旋磁化率的虚部在平底边沿上呈现剧烈起伏.该效应可作为材料的自旋轨道耦合的显著标志.
【Abstract】 The effect of the Rashba spin-orbital coupling on the spin susceptibility of an electronic system strongly correlated with a two-dimensional square lattice is studied.According to the linear response theory,spin susceptibility can be expressed with a retarded Green function.The equations of the spin susceptibility can be numerically solved with a random phase approximation and a Hartree-Fock approximation.The numerical results show that in the absence of spin-orbital coupling the static spin susceptibility Re χ(q;ω = 0) increases with the increase of the Coulomb interaction U and decreases with increasing temperature.The Coulomb interaction U and temperature T have similar effects on the dynamic susceptibility Re χ(q;ω = 0).When the spin orbital coupling is added into the system,the real part of the spin susceptibility χ(q) shows a flat base around the q = 0.The size of the flat base increases significantly with increasing VSO while the imaginary part of χ(q) shows a drastic fluctuation at the boundary of the flat base.Thus,this effect becomes a clear signature of the spin-orbital coupling of a system.
【Key words】 strong correlation; spin-orbital coupling; spin susceptibility; Green’s function; RPA;
- 【文献出处】 华南师范大学学报(自然科学版) ,Journal of South China Normal University(Natural Science Edition) , 编辑部邮箱 ,2020年05期
- 【分类号】O469
- 【被引频次】1
- 【下载频次】221