1 citations · 1 across the 9 of their papers we have counts for
5 papers · 2 filters
Formal justification of a continuum relaxation model for one-dimensional moiré materials
Jingzhi, Zhou, Alexander B. Watson
Mechanical relaxation in moiré materials is often modeled by a continuum model where linear elasticity is coupled to a stacking penalty known as the Generalized Stacking Fault Ener…
Mathematical foundations of phonons in incommensurate materials
Michael Hott, Alexander B. Watson, Mitchell Luskin
In some models, periodic configurations can be shown to be stable under, both, global or local perturbations. This is not the case for aperiodic media. The specific class…
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…
Learning the local density of states of a bilayer moiré material in one dimension
Diyi Liu, Alexander B. Watson, Michael Hott +2
Recent work of three of the authors showed that the operator which maps the local density of states of a one-dimensional untwisted bilayer material to the local density of states o…
Ergodic properties of one-dimensional incommensurate bilayer materials
Nathan J. Essner, Jeremiah Williams, Alexander B. Watson
We consider one-dimensional deterministic and random tight-binding Hamiltonians modeling electronic properties of twisted bilayer materials. When the twisted structure is incommens…