Fig. 3: Polaron energetics in twisted bilayer graphene. | Nature Communications

Fig. 3: Polaron energetics in twisted bilayer graphene.

From: Baby skyrmions in Chern ferromagnets and topological mechanism for spin-polaron formation in twisted bilayer graphene

Fig. 3

a Binding energy as a function of “filling” ν and chiral ratio κ. The dashed lines indicate integer fillings ν where our dispersion matches the HF dispersion for electron doping. A bound state is only found for ν < 0, indicating doping towards neutrality. The solid black line indicates the boundary where the bound state is lost, the dashed gray line corresponds to the minimum bandwidth, and the gray shaded area is where bands overlap and our analysis becomes invalid. b The corresponding inverse effective mass at the bottom of the band. The phase boundary is well approximated by the value me/meff ≈ 3. c, d are the spectra for electron doping the ν = −1 and ν = −3 insulators, respectively.

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