Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation
Mathematical Physics
2026-02-10 v1 math.MP
Abstract
This paper concerns the derivation and validity of macroscopic descriptions of wave packets supported in the vicinity of degenerate points 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.
Keywords
Cite
@article{arxiv.2602.08073,
title = {Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation},
author = {Guillaume Bal and Paul Cazeaux and Daniel Massatt and Solomon Quinn},
journal= {arXiv preprint arXiv:2602.08073},
year = {2026}
}