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The ability to identify and characterize spontaneous symmetry breaking iscentral to our understanding of 2D materials with strong correlation, such asthe moir\'e flat bands in magic-angle twisted graphene bilayer and trilayer. Inthis work, we utilize angle-resolved measurements of transport nonreciprocityto investigate spontaneous symmetry breaking in twisted trilayer graphene. Byanalyzing the angular dependence of nonreciprocity in both longitudinal andtransverse channels, we are able to identify the symmetry axis associated withthe underlying electronic order. We report that a hysteretic rotation in themirror axis can be induced by thermal cycles and a large current bias, whichoffers unambiguous evidence for the spontaneous breaking of rotationalsymmetry. Moreover, the onset of nonreciprocity with decreasing temperaturecoincides with the emergence of orbital ferromagnetism. Combined with theangular dependence of the superconducting diode effect, our findings uncover adirect link between rotational and time-reversal symmetry breaking. Thesesymmetry requirements point towards the exchange-driven instabilities in themomentum space as a possible origin for transport nonreciprocity in tTLG.

Angle-resolved transport nonreciprocity and spontaneous symmetry breaking in twisted trilayer graphene