Spin qubits in graphene quantum dots

Abstract

We propose how to form spin qubits in graphene. A crucial requirement to achieve this goal is to find quantum dot states where the usual valley degeneracy in bulk graphene is lifted. We show that this problem can be avoided in quantum dots based on ribbons of graphene with semiconducting armchair boundaries. For such a setup, we find the energies and the exact wave functions of bound states, which are required for localized qubits. Additionally, we show that spin qubits in graphene can not only be coupled between nearest neighbor quantum dots via Heisenberg exchange interaction but also over long distances. This remarkable feature is a direct consequence of the quasi-relativistic spectrum of graphene.

10 pages, 9 figures

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• Aharonov-Bohm effect and broken valley-degeneracy in graphene rings
• Tunable Coulomb blockade in nanostructured graphene
• Gate-controlled non-volatile graphene-ferroelectric memory
• Graphene quantum dots: Beyond a Dirac billiard
• Electronic properties of graphene antidot lattices
• Nanolithography and manipulation of graphene using an atomic force microscope
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• Tunable few-electron double quantum dots and Klein tunnelling in ultra-clean carbon nanotubes
• Nuclear Spins in Nanostructures
• Hyperfine interaction and electron-spin decoherence in graphene and carbon nanotube quantum dots
• Charge Detection in Graphene Quantum Dots
• Hyperfine Interactions in Graphene and Related Carbon Nanostructures
• Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
• Transverse field effect in graphene ribbons
• Impurity Scattering and Mott's Formula in Graphene
• MagnetoResistance of graphene-based spin valves
• Dirac electrons in graphene-based quantum wires and quantum dots
• Few-electron physics in a nanotube quantum dot with spin-orbit coupling
• Exchange-controlled single-electron-spin rotations in quantum dots
• Departure from the conical dispersion in epitaxial graphene
• Artifical atoms in interacting graphene quantum dots
• Nonequilibrium valley polarization in graphene nanoconstrictions
• Dirac equation description on the electronic states and magnetic properties of a square graphene quantum dot
• Coulomb oscillations in three-layer graphene nanostructures
• Stark Effect of Interactive Electron-hole pairs in Spherical Semiconductor Quantum Dots
• $\pi$-junction qubit in monolayer graphene
• Theory of spin qubits in nanostructures
• Raman spectroscopy and imaging of graphene