电子自旋扭曲巡游运动导致的$π$ -通量狄拉克弦形成的可能超导性
Possible occurrence of superconductivity by the $π$-flux Dirac string formation due to spin-twisting itinerant motion of electrons
摘要：
我们证明了Rashba自旋轨道相互作用引起金属中电子的自旋扭转巡游运动，实现了无外磁场下传导电子的量子化回旋运动.从贝瑞连接的观点来看，这种{量子化}运动的原因是非平凡贝瑞连接${\bf A}^{\rm fic}=-{\hbar \over {2e}}\nabla χ$的出现（$χ$是具有周期$2π$的角变量，其在沿着自旋扭转中心的波函数（“狄拉克弦”）的节点奇点内产生$π$通量（以$\hbar=1, e=1,c=1$为单位）。由于在我们以前的工作中已经证明了$\nabla χ$的集体模被电子配对稳定并产生超流，所以由自旋扭转巡游运动产生的$π$通量狄拉克弦将被电子配对稳定并产生超流。
英文摘要：
We show that the Rashba spin-orbit interaction causes spin-twisting itinerant motion of electrons in metals and realizes the quantized cyclotron motion of conduction electrons without an external magnetic field. From the view point of the Berry connection, the cause of this {quantized} motion is the appearance of a non-trivial Berry connection ${\bf A}^{\rm fic}=-{\hbar \over {2e}}\nabla χ$ ($χ$ is an angular variable with period $2π$ that generates $π$ flux (in the units of $\hbar=1, e=1,c=1$) inside the nodal singularities of the wave function (a "Dirac string") along the centers of spin-twisting. Since it has been shown in our previous work[Ref.1]that the collective mode of $\nabla χ$ is stabilized by the electron-pairing and generates supercurrent, the $π$-flux Dirac string created by the spin-twisting itinerant motion will be stabilized by the electron-pairing and produce supercurrent.
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