TY - JOUR AB - We report on quantum capacitance measurements of high quality, graphite- and hexagonal boron nitride encapsulated Bernal stacked trilayer graphene devices. At zero applied magnetic field, we observe a number of electron density- and electrical displacement-tuned features in the electronic compressibility associated with changes in Fermi surface topology. At high displacement field and low density, strong trigonal warping gives rise to emergent Dirac gullies centered near the corners of the hexagonal Brillouin and related by three fold rotation symmetry. At low magnetic fields of B=1.25~T, the gullies manifest as a change in the degeneracy of the Landau levels from two to three. Weak incompressible states are also observed at integer filling within these triplets Landau levels, which a Hartree-Fock analysis indicates are associated with Coulomb-driven nematic phases that spontaneously break rotation symmetry. AU - Zibrov, Alexander AU - Peng, Rao AU - Kometter, Carlos AU - Li, Jia AU - Dean, Cory AU - Taniguchi, Takashi AU - Watanabe, Kenji AU - Serbyn, Maksym AU - Young, Andrea ID - 289 IS - 16 JF - Physical Review Letters TI - Emergent dirac gullies and gully-symmetry-breaking quantum hall states in ABA trilayer graphene VL - 121 ER -