Electrical current and coupled electron-nuclear spin dynamics in double quantum dots

G. Giavaras, Neill Lambert, and Franco Nori
Phys. Rev. B 87, 115416 – Published 14 March 2013

Abstract

We examine electronic transport in a spin-blockaded double quantum dot. We show that by tuning the strength of the spin-orbit interaction the current flowing through the double dot exhibits a dip at zero magnetic field or a peak at a magnetic field for which the two-electron energy levels anticross. This behavior is due to the dependence of the singlet-triplet mixing on the field and spin-orbit amplitude. We derive approximate expressions for the current as a function of the amplitudes of the states involved in the transport. We also consider an alternative model that takes into account a finite number of nuclear spins and study the resulting coupled dynamics between electron and nuclear spins. We show that if the spin ensemble is in a thermal state there are regular oscillations in the transient current followed by quasichaotic revivals akin to those seen in a thermal Jaynes-Cummings model.

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  • Received 3 December 2012

DOI:https://doi.org/10.1103/PhysRevB.87.115416

©2013 American Physical Society

Authors & Affiliations

G. Giavaras1, Neill Lambert1, and Franco Nori1,2

  • 1Advanced Science Institute, RIKEN, Wako-shi, Saitama 351-0198, Japan
  • 2Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1040, USA

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Vol. 87, Iss. 11 — 15 March 2013

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