A parabolic quantum dot (QD) as realized by biasing nanostructured gates onbilayer graphene is investigated in the presence of electron-electroninteraction. The energy spectrum and the phase diagram reveal unexpectedtransitions as function of a magnetic field. For example, in contrast tosemiconductor QDs, we find a novel valley transition rather than only the usualsinglet-triplet transition in the ground state of the interacting system. Theorigin of these new features can be traced to the valley degree of freedom inbilayer graphene. These transitions have important consequences for cyclotronresonance experiments.
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