Failure of standard approximations of the exchange coupling in nanostructures

Details Failure of standard approximations of the exchange coupling in nanostructures Failure of standard approximations of the exchange coupling in nanostructures

2007-06-13

arxiv.org/abs/0706.1859v2

Phys. Rev. B 76, 125323 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevB.76.125323

We calculate the exchange coupling for a double dot system using a novel, numerically exact yet efficient technique, based on finite-element methods. Specifically, we evaluate the exchange coupling both for a quasi-one and a two-dimensional system, also including an applied magnetic field. Our numerical results provide a stringent test for standard approximation schemes (e.g., Heitler-London, Hund-Mulliken, Hubbard), and they show that the standard methods do not have reliable predictive power for real quantum-dot systems.

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