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The ground states of twisted bilayer graphene (TBG) at chiral and flat-bandlimit with integer fillings are known from exact solutions, while theirdynamical and thermodynamical properties are revealed by unbiased quantum MonteCarlo (QMC) simulations. However, to elucidate experimental observations ofcorrelated metallic, insulating and superconducting states and theirtransitions, investigations on realistic, or non-chiral cases are vital. Herewe employ momentum-space QMC method to investigate the evolution of correlatedstates in magic-angle TBG away from chiral limit at charge neutrality withpolarized spin/valley, which approximates to an experimental case with fillingfactor $\nu=-3$. We find that the ground state evolves from quantum anomalousHall insulator into an intriguing correlated semi-metallic state possessingheavy-fermion features as AA hopping strength reaches experimental values. Sucha state resembles the recently proposed heavy-fermion representations withlocalized electrons residing at AA stacking regions and delocalized electronsitinerating via AB/BA stacking regions. The spectral signatures of thelocalized and itinerant electrons in the heavy-fermion semimetal phase arerevealed, with the connection to experimental results being discussed.

Evolution from quantum anomalous Hall insulator to heavy-fermion semimetal in magic-angle twisted bilayer graphene