Abstract:Inspired from Lie symmetry classification, we establish a correspondence between rank two Lie symmetries and 2D materials physics. The material unit cell is accordingly interpreted as the geometry of a root system. The hexagonal cells, appearing in graphene like models, are analyzed in some details and are found to be associated with A 2 and G 2 Lie symmetries. This approach can be applied to Lie supersymmetries associated with fermionic degrees of freedom. It has been suggested that these extended symmetries … Show more
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