Graphene ground states

Friedrich M, Stefanelli U (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Zeitschrift für Angewandte Mathematik und Physik Springer Verlag (Germany)

Book Volume: 69

Article Number: 70

Journal Issue: 3

DOI: 10.1007/s00033-018-0965-2

Abstract

Graphene is locally two-dimensional but not flat. Nanoscale ripples appear in suspended samples and rolling up often occurs when boundaries are not fixed. We address this variety of graphene geometries by classifying all ground-state deformations of the hexagonal lattice with respect to configurational energies including two- and three-body terms. As a consequence, we prove that all ground-state deformations are either periodic in one direction, as in the case of ripples, or rolled up, as in the case of nanotubes.

Authors with CRIS profile

Manuel Friedrich

Involved external institutions

Universität Wien / University of Vienna AT Austria (AT)

How to cite

APA:

Friedrich, M., & Stefanelli, U. (2018). Graphene ground states. Zeitschrift für Angewandte Mathematik und Physik, 69(3). https://doi.org/10.1007/s00033-018-0965-2

MLA:

Friedrich, Manuel, and Ulisse Stefanelli. "Graphene ground states." Zeitschrift für Angewandte Mathematik und Physik 69.3 (2018).

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