The geometry of the double gyroid wire network: quantum and classical

نویسندگان

  • Ralph M. Kaufmann
  • Sergei Khlebnikov
  • Birgit Wehefritz-Kaufmann
چکیده

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 noncommutative geometry to describe this wire network. Its noncommutative geometry is closely related to noncommutative 3-tori as we discuss in detail. Mathematics Subject Classification (2010). 46L60, 81R60, 58B34, 53A10, 57M15, 52C07, 05C38, 81Q10.

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تاریخ انتشار 2012