波纹石墨烯中的合作现象：手征自旋波导
Cooperative phenomenon in a rippled graphene: Chiral spin guide
摘要：
我们分析了自旋散射的弹道输运的电子通过一个波纹在一个正常的入射电子流。波纹的模型由弯曲的石墨烯表面组成，其形式为从左手侧和右手侧连接到两个平坦的石墨烯片的圆弧。在某些条件下，曲率引起的自旋-轨道耦合为具有一个自旋极化的入射电子创建透明窗口，同时具有相反极化的入射电子反向散射。这个窗口对于自旋向上和自旋向下的电子同样可能是透明的，它们以相反的方向移动。在一个波纹中小的自旋过滤效应随着N的增加而变得突出，因此连接的波纹产生正弦类型的石墨烯片。我们提出的解析表达式自旋上（下）传输概率作为N个连接的波纹的函数。
英文摘要：
We analyze spin scattering in ballistic transport of electrons through a ripple at a normal incidence of an electron flow. The model of a ripple consists of a curved graphene surface in the form of an arc of a circle connected from the left-hand and right-hand sides to two flat graphene sheets. At certain conditions the curvature induced spin-orbit coupling creates a transparent window for incoming electrons with one spin polarization simultaneously with a backscattering of those with opposite polarization. This window is equally likely transparent for electrons with spin up and spin down that move in opposite directions. The spin filtering effect being small in one ripple becomes prominent with the increase of N consequently connected ripples that create a graphene sheet of the sinusoidal type. We present the analytical expressions for spin up (down) transmission probabilities as a function of N connected ripples.
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