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Exact Hamiltonians with Rashba and cubic Dresselhaus spin-orbit couplings on a curved surface

机译:具有Rashba和立方Dresselhaus自旋轨道耦合的精确哈密顿量

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The exact Hamiltonians for Rashba and cubic Dresselhaus spin-orbit couplings on a curved surface with an arbitrary shape are rigorously derived. Two orthogonal principal curvatures dominate the electronic spin transport, and the asymptotic behavior of the normal confined potential on a curved surface is insignificant. For a curved surface with a large curvature, the higher order momentum terms play an important role in controlling spin transport. The Rashba spin-orbit coupling on a curved surface only induces the extra pseudopotential term, and the cubic Dresselhaus spin-orbit coupling on a curved surface can induce the extra pseudokinetic and pseudomomentum terms. Because of the extra curvature-induced terms and the associated pseudomagnetic fields, spin transport on a curved surface is very different from that on a flat surface. The Hamiltonians on both cylindrical and spherical surfaces are explicitly derived here, and the associated physical properties of electrons are studied in detail.
机译:严格推导了任意形状的曲面上的Rashba和三次Dresselhaus自旋轨道耦合的精确哈密顿量。两个正交的主曲率主导着电子自旋输运,曲面上的正常约束电势的渐近行为无关紧要。对于曲率较大的曲面,高阶动量项在控制自旋输运中起重要作用。曲面上的Rashba自旋轨道耦合仅诱发额外的准势项,而曲面上的立方Dresselhaus自旋轨道耦合则可以诱发额外的准动量和准动量项。由于额外的曲率感应项和相关的伪磁场,弯曲表面上的自旋输运与平坦表面上的自旋输运非常不同。圆柱和球形表面上的哈密顿量均在此得到明确推导,并详细研究了电子的相关物理性质。

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