Dresden 2009 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 37: Transport: Nanoelectronics II - Spintronics and Magnetotransport
TT 37.10: Talk
Thursday, March 26, 2009, 12:15–12:30, HSZ 105
Universal Spin and Charge Fluctuations in Quantum Dots with Rashba Spin-Orbit Interaction — •Juan-Diego Urbina1, Diego Espitia1,2, Dominik Bauernfeind1,3, and Klaus Richter1 — 1Universitaet Regensburg — 2Universidad Pedagogica y Tecnologica de Colombia — 3Harvard University
We present a novel approach to study spin and charge fluctuations in quantum dots subject to Rashba spin-orbit interaction. From the numerical side we present a spinorial implementation of the Plane Wave Decomposition Method (widely used in non-spin billiards) which allows us to efficiently construct eigenstates and energies of Rashba billiards. The method can be applied to dots with arbitrary shape and with spin-orbit interaction of any strength. With this technique we calculate exact spatial correlations for a dot with irregular shape. The results are then used to test the universal prediction given by a spinorial version of the celebrated Berry's ansatz presented here for the first time.
Our results fully support the claim that the spin-spin, charge-charge and spin-charge correlations in typical quantum dots with Rashba interaction are described by a spinorial Gaussian Random Field universally characterized by its two-point correlation matrix, which is presented in closed analytical form.