Influence of confining potentials on the exchange coupling in double quantum dots

Abstract

We report simple expressions for the exchange coupling in double quantum dots calculated within the Heitler-London and the Hund-Mulliken approximations using four different confining potentials. At large interdot distances and at large magnetic fields the exchange coupling does not depend significantly on the details of the potentials. In contrast, at low fields and short distances different behaviors of the exchange coupling can be attributed to particular features of the potentials. Our results may be useful as guidelines in numerical studies and in the modeling of experiments.

4 pages, 5 figures, 1 table, submitted to Phys. Rev. B

References in corpus (10)

• Quantum Computation with Quantum Dots
• Coupled quantum dots as quantum gates
• Singlet-triplet decoherence due to nuclear spins in a double quantum dot
• Charge fluctuation induced dephasing of exchange coupled spin qubits
• Exchange coupling in silicon quantum dots: Theoretical considerations for quantum computation
• Two-electron lateral quantum-dot molecules in a magnetic field
• Failure of standard approximations of the exchange coupling in nanostructures
• Exchange interaction and stability diagram of coupled quantum dots in magnetic fields
• Exchange coupling in semiconductor nanostructures: Validity and limitations of the Heitler-London approach
• Path integral study of the role of correlation in exchange coupling of spins in double quantum dots and optical lattices

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• Effect of a laser field in the confinement potential of two electrons in a double quantum dot