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We investigate the effect of strain-induced gauge fields on statisticaldistribution of energy levels of triangular graphene nanoflakes with zigzagedges. In the absence of strain fields but in the presence of weak potentialdisorder such systems were found in Ref. [1] to display the spectral statisticsof the Gaussian unitary ensemble (GUE) due to the effective time-reversal(symplectic) symmetry breaking. Here show that, in the absence of disorder,strain fields may solely lead to spectral fluctuations of GUE providing ananoflake is deformed such that all its geometric symmetries are broken. In aparticular case when a single mirror symmetry is preserved the spectralstatistics follow the Gaussian orthogonal ensemble (GOE) rather then GUE. Thecorresponding transitions to quantum chaos are rationalized by means ofadditive random-matrix models and the analogy between strain-induced gaugefields and real magnetic fields is discussed.

Strain-induced transitions to quantum chaos and effective time-reversal symmetry breaking in triangular graphene nanoflakes