The geometry of the Double Gyroid wire network: Quantum and Classical [PDF]
Ralph M. Kaufmann, Sergei Khlebnikov, Birgit Wehefritz-KaufmannQuantum 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.View original: http://arxiv.org/abs/1010.1709
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