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Lie symmetries and 2D Material Physics by Belhaj, Adil; Sedra, Moulay Brahim is a scholarly article available to read on EtoBox.

What is Lie symmetries and 2D Material Physics about?

Inspired from Lie symmetry classification, we establish a correspondence between rank two Lie symmetries and 2D material 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 can offer a new way to deal with doping material geometries. Motivated by Lie symmetry applications in high energy physics, we speculate on a possible connection with (p,q) brane networks used in the string theory compactification on singular Calabi-Yau manifolds.

Author

Belhaj, Adil; Sedra, Moulay Brahim

Published

2014

Language

EN