3 papers
math-ph2026
Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation
Guillaume Bal, Paul Cazeaux, Daniel Massatt +1
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 tig…
math.NA2025
Complex scaling for open waveguides
Charles L. Epstein, Tristan Goodwill, Jeremy Hoskins +2
In this work we analyze the complex scaling method applied to the problem of time-harmonic scalar wave propagation in junctions between `leaky,' or open dielectric waveguides. In […
math-ph2025
Higher-order continuum models for twisted bilayer graphene
Solomon Quinn, Tianyu Kong, Mitchell Luskin +1
The first-order continuum PDE model proposed by Bistritzer and MacDonald in \cite{bistritzer2011moire} accurately describes the single-particle electronic properties of twisted bil…