DMDaniel Massatt
Daniel Massatt
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Daniel Massatt has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Guillaume Bal
University of Chicago
1 shared publication - Paul Cazeaux
Department of Mathematics Virginia Tech 24060 Blacksburg VA
1 shared publication - Solomon Quinn
Center for Computational Mathematics Flatiron Institute 10010 New York NY
1 shared publication
Latest Publications
- Open Access
Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation
This paper concerns the derivation and validity of macroscopic descriptions of wave packets supported in the vicinity of degenerate points $(K,E)$ in the dispersion relation of tight-binding models accounting for macroscopic variations. We show that such wave packets are well approximated over long times by macroscopic models with varying orders of accuracy. Our main applications are in the analysis of single- and multilayer graphene tight-binding Hamiltonians modeling macroscopic variations such as those generated by shear or twist. Numerical simulations illustrate the theoretical findings.Open AccessMacroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation
This paper concerns the derivation and validity of macroscopic descriptions of wave packets supported in the vicinity of degenerate points $(K,E)$ in the dispersion relation of tight-binding models accounting for macroscopic variations. We show that such wave packets are well approximated over long times by macroscopic models with varying orders of accuracy. Our main applications are in the analysis of single- and multilayer graphene tight-binding Hamiltonians modeling macroscopic variations such as those generated by shear or twist. Numerical simulations illustrate the theoretical findings.