共振散射条件附近和远离共振散射条件的二维斜散射
2D skew scattering in the vicinity and away from resonant scattering condition
摘要：
本文研究了在玻恩近似不适用的情况下，强势二维斜散射的能量依赖性。由于斜散射截面在低能量和高能量下均为零，它随入射电子能量的变化而呈现极大值，我们解析地找到了可精确求解的圆势垒模型的极大值的形状。在重新标度因子内，这种形状对于强势是通用的。如果排斥势具有吸引核，则由于具有连续性的简并，核的离散能级变为准定域能级。当入射电子能量接近于零角动量准局域态时，净截面的增强伴随着斜散射的共振增强。相比之下，在具有动量$\pm 1$的准局域态的共振附近，斜散射截面是与共振的能量偏差的奇函数，并且通过零，即，它显示出符号反转。在后一种情况下，在费米海的存在下，近藤共振表现出强烈的温度依赖性的斜散射。
英文摘要：
We studied the energy dependence of the 2D skew scattering from strong potential, for which the Born approximation is not applicable. Since the skew scattering cross section is zero both at low and at high energies, it exhibits a maximum as a function of energy of incident electron. We found analytically the shape of the maximum for an exactly solvable model of circular-barrier potential. Within a rescaling factor, this shape is universal for strong potentials. If the repulsive potential has an attractive core, the discrete levels of the core become quasilocal due to degeneracy with continuum. For energy of incident electron close to the quasilocal state with zero angular momentum, the enhancement of the net cross section is accompanied by resonant enhancement of the skew scattering. By contrast, near the resonance with quasilocal states having momenta $\pm 1$, the skew scattering cross section is an odd function of energy deviation from the resonance, and passes through zero, i.e., it exhibits a sign reversal. In the latter case, in the presence of the Fermi sea, the Kondo resonance manifests itself in strong temperature dependence of the skew scattering.
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