Mesoscopic rings with Spin-Orbit interactions

Details Mesoscopic rings with Spin-Orbit interactions Mesoscopic rings with Spin-Orbit interactions

2010-05-27

arxiv.org/abs/1005.5178v2

Eur. J. Phys. 31 (2010) 1267-1286

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1088/0143-0807/31/5/026

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.

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