Abstract This study explores the dynamic evolution of non-classical correlations and coherence within a two-dimensional graphene layer, examining its vulnerability to intrinsic decoherence. We use local quantum uncertainty (LQU) to quantify the level of quantum correlations, while assessing quantum coherence using the
l1 l 1 -norm (
Cl1 C l 1 ) and relative entropy of coherence (
Cr C r ). We investigate how these quantum estimators respond to various parameters of the graphene system, including wavenumber operators, the initial-state mixing parameter, and intrinsic decoherence factor. Our results demonstrate that adjusting the wavenumber operators, increasing the purity parameter, and reducing the intrinsic decoherence rate can enhance both quantum coherence and correlations in the graphene layer system. Furthermore, we observe that
Cl1 C l 1 and
Cr C r exhibit greater resilience to intrinsic decoherence compared to LQU.