JournalsjncgVol. 6, No. 4pp. 623–664

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

  • Ralph M. Kaufmann

    Purdue University, USA
  • Sergei Khlebnikov

    Purdue University, USA
  • Birgit Wehefritz-Kaufmann

    Purdue University, USA
The geometry of the double gyroid wire network: quantum and classical cover
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Abstract

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.

Cite this article

Ralph M. Kaufmann, Sergei Khlebnikov, Birgit Wehefritz-Kaufmann, The geometry of the double gyroid wire network: quantum and classical. J. Noncommut. Geom. 6 (2012), no. 4, pp. 623–664

DOI 10.4171/JNCG/101