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The canonical group quantization approach has been used to studynoncommutative graphene in the presence of dual magnetic fields. The canonicalgroup for the phase space $\mathbb{R}^2\times \mathbb{R}^2$ with both symmetricand Landau dual gauges is shown to be equivalent to $\mathtt{H}^2\rtimes\mathbb{R}$. The representations of both symmetric and Landau dual gauges leadto similar canonical commutation relations, and we observe that the energyspectrum is corrected by both dual magnetic fields, yielding the same result.

Canonical Group Quantization of Noncommutative Graphene with Symmetric and Landau Dual Magnetic Fields