The geometry of the Double Gyroid wire network: Quantum and Classical

Physics – Mathematical Physics

Scientific paper

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pdflatex 9 Figures. Minor changes, typos and formulations

Scientific paper

Quantum wire networks have recently become of great interest. Here we deal
with a novel nano material structure of a Double Gyroid wire network. We use
methods of commutative and non-commutative geometry to describe this wire
network. Its non--commutative geometry is closely related to non-commutative
3-tori as we discuss in detail.

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