Analytical solution of narrow quantum rings with general Rashba and Dresselhaus spin-orbit couplings
| Autor: | Lía, J. M., Tamborenea, P. I. |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Revised Version published in Physica E, Volume 126, February 2021, 114419 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physe.2020.114419 |
| Popis: | We solve analytically the energy eigenvalue problem of narrow semiconductor quantum rings with a general spin-orbit term that includes as a special case the Rashba and Dresselhaus interactions acting simultaneously. The eigenstates and eigenenergies of the system are found for arbitrary values of the spin-orbit coupling constants without making use of approximations. The general eigenstates are expressed as products of a scalar Mathieu function and a spinor factor which is periodic or pseudo-periodic on the ring. Our general solution reduces to the previously found solutions for particular combinations of the Rashba and Dresselhaus couplings, like the well-studied cases of Rashba-only and of equal coupling constants. Comment: 16 pages, 4 figures |
| Databáze: | arXiv |
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