The geometry of the Double Gyroid wire network: Quantum and Classical
Mathematical Physics
2012-11-29 v3 math.MP
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 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.
Keywords
Cite
@article{arxiv.1010.1709,
title = {The geometry of the Double Gyroid wire network: Quantum and Classical},
author = {Ralph M. Kaufmann and Sergei Khlebnikov and Birgit Wehefritz-Kaufmann},
journal= {arXiv preprint arXiv:1010.1709},
year = {2012}
}
Comments
pdflatex 9 Figures. Minor changes, some typos and formulations