On the Spectra of Carbon Nano-Structures

By Peter Kuchment, Olaf Post. 2006

200 citations recorded by the source corpus.

An explicit derivation of dispersion relations and spectra for periodic Schrödinger operators on carbon nano-structures (including graphene and all types of single-wall nano-tubes) is provided.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/938055272dcff4922bae0c11dd99dbeb8b59b4b8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Charles Fefferman
2. Peter Kuchment
3. R. Myers
4. E. Gruyer
5. Robin Graham
6. Thomas Leistner
7. Bo'az Klartag

In Mathematical Physics

1. Peter Kuchment
2. Charles Fefferman
3. Michael I. Weinstein
4. E. Gruyer
5. Konstantin Pankrashkin
6. Nicolas Popoff

Citations in the corpus

• Homogeneous trees of second order Sturm-Liouville equations: A general theory and program (2008, background): “Here we just provide some token (and incomplete) pointers to applications in dynamical systems and probability theory [93–95], spectral theory of differential operators on manifolds and in singular domains [53, 64, 65], chemistry (including studying carbon nanostructures) [9, 73, 111, 112, 126, 127,”
• Honeycomb Lattice Potentials and Dirac Points (2012, background): “Previous mathematical analyses of such honeycomb lattice structures are based upon extreme limit models: (1) the tight-binding / infinite contrast limit (see, for example, [21, 14, 13, 20]) in which the potential is taken to be concentrated at lattice points or edges of a graph; in this limit, the d”
• An overview of periodic elliptic operators (2015, background): “13The article [255] also contained the detailed spectral analysis of quantum graph models of all possible types of carbon nanotubes.”