Extended Data Fig. 4: Hartree potential band structure with U≠0. | Nature Physics

Extended Data Fig. 4: Hartree potential band structure with U≠0.

From: Coulomb interactions and migrating Dirac cones imaged by local quantum oscillations in twisted graphene

Extended Data Fig. 4

a-e, Band structure line cuts for a single valley with self-consistently calculated Hartree potential for \(U=0\) (a),\(\,U=10\) (b), \(U=20\) (c), \(U=30\) (d), and \(U=40\) meV (e). Band structure cuts are shown at the indicated values of \(\nu\) for which \({\varepsilon }_{F}\) (dashed line) reaches the hybridized Dirac point where the 0th LL resides, illustrating that at larger \(U\) Dirac LLs appear at larger \(\nu\) as shown in Fig. 4c. f, Band structure line cut for \(U=40\) meV for a single particle calculation. Here, a similar effect is seen where the graphene and FB Dirac cones overlap and hybridize at zero energy, pushing all \({N}^{D}\) LLs up in energy.

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