Coulomb-driven Momentum Space Condensation in Rhombohedral Hexalayer Graphene

In systems of strongly correlated electrons, the emergence of spontaneous symmetry breaking serves as a defining hallmark of the underlying many-body physics. Here, we report the discovery of an unprecedented emerging order in rhombohedral hexalayer graphene, defined by the intertwinement of rotational, time-reversal, and inversion symmetry breaking. The link between these broken symmetries is uncovered through angle-resolved transport measurements. The spontaneous breaking of rotational symmetry is identified by the Curie-Weiss behavior in the temperature-dependent onset of transport anisotropy. Most remarkably, the nematic transition, defined by the cusp of transport anisotropy, coincides with the emergence of the anomalous Hall effect in both the linear and nonlinear regimes. Our findings provide unambiguous experimental evidence of spontaneous condensation in momentum space, a phenomenon previously proposed to arise from a Coulomb-driven flocking effect. Together, these observations establish electronic anisotropy as a fundamental organizing principle in the landscape of intertwined electronic orders in strongly correlated two-dimensional systems.