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We analytically compute the scanning tunneling microscopy (STM) signatures ofinteger-filled correlated ground states of the magic angle twisted bilayergraphene (TBG) narrow bands. After experimentally validating thestrong-coupling approach at $\pm 4$ electrons/moir\'e unit cell, we considerthe spatial features of the STM signal for 14 different many-body correlatedstates and assess the possibility of Kekul\'e distortion (KD) emerging at thegraphene lattice scale. Remarkably, we find that coupling the two oppositegraphene valleys in the intervalley-coherent (IVC) TBG insulators does notalways result in KD. As an example, we show that the Kramers IVC state and itsnonchiral $\mathrm{U} \left( 4 \right)$ rotations do not exhibit any KD, whilethe time-reversal-symmetric IVC state does. Our results, obtained over a largerange of energies and model parameters, show that the STM signal and Chernnumber of a state can be used to uniquely determine the nature of the TBGground state.

Spectroscopy of Twisted Bilayer Graphene Correlated Insulators