Abstract
We investigate the Friedel oscillations that can be sustained in the presence of the Coulomb interaction in a two-dimensional lateral superlattice (SL) with spin-orbit interaction (SOI) linear in the electron momentum (Rashba). The superlattice is modeled as a periodic array of infinitely attractive quantum wells whose periodicity determines the apparition of energy minibands in the single particle spectrum that are further spin-split by SOI. The Friedel oscillations are obtained from the static real-space density response function Δν(r) to an external perturbation, evaluated self-consistently within the random-phase approximation of the Coulomb interaction. The interplay in the momentum space between the spin-orbit coupling and periodicity determines the overall characteristics of the density fluctuations. In a singly occupied, chiral-split miniband approximation, the amplitude and phase of the oscillations are studied numerically as functions of several significant parameters of the system such as the miniband width, the strength of the spin-orbit coupling and the superlattice constant.
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Capps, J., Daniels, M., Sosolik, C.E., Marinescu, D.C. (2016). Friedel oscillations in a lateral superlattice with spin-orbit interaction. In: Polini, M., Vignale, G., Pellegrini, V., Jain, J.K. (eds) No-nonsense Physicist. Publications of the Scuola Normale Superiore(), vol 2. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-536-3_4
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DOI: https://doi.org/10.1007/978-88-7642-536-3_4
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