37 citations · 195 across the 17 of their papers we have counts for
3 papers · 1 filter
The noncommutative geometry of wire networks from triply periodic surfaces
Ralph M. Kaufmann, Sergei Khlebnikov, Birgit Wehefritz-Kaufmann
We study wire networks that are the complements of triply periodic minimal surfaces. Here we consider the P, D, G surfaces which are exactly the cases in which the corresponding gr…
Singularities, swallowtails and Dirac points. An analysis for families of Hamiltonians and applications to wire networks, especially the Gyroid
Ralph M. Kaufmann, Sergei Khlebnikov, Birgit Wehefritz-Kaufmann
Motivated by the Double Gyroid nanowire network we develop methods to detect Dirac points and classify level crossings, aka. singularities in the spectrum of a family of Hamiltonia…
Re-gauging groupoid, symmetries and degeneracies for Graph Hamiltonians and applications to the Gyroid wire network
Ralph M. Kaufmann, Sergei Khlebnikov, Birgit Wehefritz-Kaufmann
We study a class of graph Hamiltonians given by a type of quiver representation to which we can associate (non)--commutative geometries. By selecting gauging data these geometries…