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arXiv 1005.5178cond-mat.mes-hallquant-ph
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具有自旋轨道相互作用的介观环

Mesoscopic rings with Spin-Orbit interactions

Bertrand Berche, Christophe Chatelain, Ernesto Medina

摘要:

本文对存在自旋轨道相互作用时介观环上的电荷和自旋平衡流作了一个教学式的描述。重点讨论了极坐标下正确哈密顿量的非平凡构造、本征值和本征函数的计算以及基态性质的对称性。自旋流的推导遵循一个直观的定义,然后更彻底的推导是建立在规范拉格朗日公式,强调SU(2)规范结构的自旋1/2费米子在自旋轨道有源介质中的输运问题。本文还讨论了由单值泡利旋量的约束所导出的量子化条件。目标学生是研究生凝聚态物理课程的学生。

英文摘要:

A didactic description of charge and spin equilibrium currents on mesoscopic rings in the presence of Spin-Orbit interaction is presented. Emphasis is made on the non trivial construction of the correct Hamiltonian in polar coordinates, the calculation of eigenvalues and eigenfunctions and the symmetries of the ground state properties. Spin currents are derived following an intuitive definition and then a more thorough derivation is built upon the canonical Lagrangian formulation that emphasizes the SU(2) gauge structure of the transport problem of spin 1/2 fermions in spin-orbit active media. The quantization conditions that follow from the constraint of single-valued Pauli spinors are also discussed. The targeted students are those of a graduate Condensed Matter Physics course.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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