Extended Hubbard model describing small multi-dot arrays in bilayer graphene

Abstract

We set up and parametrize a Hubbard model for interacting quantum dots in bilayer graphene and study double dots as the smallest multi-dot system. We demonstrate the tunability of the spin and valley multiplets, Hubbard parameters, and effective exchange interaction by electrostatic gate potentials and the magnetic field. Considering both the long- and short-range Coulomb interaction, we map out the various spin and valley multiplets and calculate their energy gaps for different dot sizes and inter-dot separations. For half-filling and large valley splittings, we derive and parametrize an effective Heisenberg model for the quantum dot spins.

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Cited by in corpus (4)

• QDsim: A user-friendly toolbox for simulating large-scale quantum dot devices
• The role of antisymmetric orbitals and electron-electron interactions on the two-particle spin and valley blockade in graphene double quantum dots
• Many-body tunneling in a double-well potential
• Gate-defined Kondo lattices with valley-helical quantum dot arrays