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math-ph2026
Numerical computation of the density of states of aperiodic multiscale Schrödinger operators
Eric Cancès, Daniel Massatt, Long Meng +2
Computing the electronic structure of incommensurate materials is a central challenge in condensed matter physics, requiring efficient ways to approximate spectral quantities such…
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-ph2025
Construction and Accuracy of Electronic Continuum Models of Incommensurate Bilayer 2D Materials
Xue Quan, Alex Watson, Daniel Massatt
Single-particle continuum models such as the popular Bistritzer-MacDonald model have become powerful tools for predicting electronic phenomena of incommensurate 2D materials and th…