29 citations · 150 across the 20 of their papers we have counts for
3 papers · 1 filter
Modeling of electronic dynamics in twisted bilayer graphene
Tianyu Kong, Diyi Liu, Mitchell Luskin +1
We consider the problem of numerically computing the quantum dynamics of an electron in twisted bilayer graphene. The challenge is that atomic-scale models of the dynamics are aper…
From incommensurate bilayer heterostructures to Allen-Cahn: An exact thermodynamic limit
Michael Hott, Alexander B. Watson, Mitchell Luskin
We give a complete and rigorous derivation of the mechanical energy for twisted 2D bilayer heterostructures without any approximation beyond the existence of an empirical many-body…
Mathematical aspects of the Kubo formula for electrical conductivity with dissipation
Alexander B. Watson, Dionisios Margetis, Mitchell Luskin
In this expository article, we present a systematic formal derivation of the Kubo formula for the linear-response current due to a time-harmonic electric field applied to non-inter…