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math-ph2026
Continuum Limit for One-Dimensional Moiré Relaxation
Hao Lan, Michael Hott, Jeff Calder +1
We establish convergence of minimizers for a minimal one dimensional atomic-scale model for relaxation in moiré materials to those of a one-dimensional continuum limit functional a…
cond-mat.mes-hall2026
Relaxation effects on Hartree-Fock ground states in twisted bilayer graphene at even integer fillings
Tianyu Kong, Alexander B. Watson, Lin Lin +2
A standard approach for studying magic angle twisted bilayer graphene (MATBG)'s correlated electronic phase diagram is to project the Coulomb interaction down to effective models o…
math-ph2026
WKB Spectral Asymptotics for a One-Dimensional Dirac Operator with a Slowly Varying Mass Profile
Owen Sutton, Alexander B. Watson
We study the semiclassical spectral theory of a one-dimensional Dirac operator describing waves at the interface between topologically distinct media. We derive a modified Bohr-Som…