Theory of multiple magnetic scattering for quasiparticles on a gapless topological insulator surface
Theory of multiple magnetic scattering for quasiparticles on a gapless topological insulator surface
复制标题
无间隙拓扑绝缘体表面准粒子多重磁散射理论
DOI：
10.1103/physrevb.85.245433
复制
发表时间：
2012-06-19
影响因子：
3.7
通讯作者：
Li, Shu-Shen
中科院分区：
文献类型：
--
作者：
Fu, Zhen-Guo;Zhang, Ping;Li, Shu-Shen
我们发展了一个一般的低能多重散射分波理论，用于磁性杂质存在下的无间隙拓扑绝缘体表面。作为应用，我们讨论了微分截面（CS）d λ/d φ，总CS λ（tot），电阻率Ω的霍尔分量，和逆动量弛豫时间γ（M）的单中心和双中心磁散射。我们表明，不同于非线性杂质散射，s波近似是不可取的，在这种情况下是收敛的。随着单个磁性杂质有效磁矩M的增大，CS的对称性降低，产生背散射，且背散射强度增大。我们展示了一个非零的垂直电阻率分量欧米茄，这可能是有用的调谐样品的霍尔电压。与d Lambda/d phi的分析一致，通过比较Gamma（M）与Lambda（tot），我们可以确定后向散射和前向散射的不同权重。与CS类似，Omega和Gamma（M）也由于干涉效应而表现出多磁散射中心的振荡行为。
We develop a general low-energy multiple-scattering partial-wave theory for gapless topological insulator surfaces in the presence of magnetic impurities. As applications, we discuss the differential cross section (CS) d Lambda/d phi, the total CS Lambda(tot), the Hall component of resistivity Omega, and inverse momentum relaxation time Gamma(M) for single- and two-centered magnetic scattering. We show that differing from the nonmagnetic impurity scattering, s-wave approximation is not advisable and convergent in the present case. The symmetry of CS is reduced and the backscattering occurs and becomes stronger with increasing the effective magnetic moment M of single magnetic impurity. We show a nonzero perpendicular resistivity component Omega, which may be useful for tuning the Hall voltage of the sample. Consistent with the analysis of d Lambda/d phi, by comparing Gamma(M) with Lambda(tot), we can determine different weights of backscattering and forward scattering. Similar to CS, Omega and Gamma(M) also exhibit oscillating behavior for multiple-magnetic-scattering centers due to interference effect.