Edges of the brownie:
Surface States: https://en.wikipedia.org/wiki/Surface_states
Dopant: https://en.wikipedia.org/wiki/Dopant
Doping: https://en.wikipedia.org/wiki/Doping_(semiconductor)
Band Bending: https://en.wikipedia.org/wiki/Band_bending
Space charge: https://en.wikipedia.org/wiki/Space_charge
Strongly correlated material https://en.wikipedia.org/wiki/Strongly_correlated_material
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