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SUMMARY:SCS: Mitchell Luskin (U Minn)
DTSTART:20251104T150000Z
DTEND:20251104T160000Z
DTSTAMP:20261009T011400Z
UID:indico-event-4101@indico.flatironinstitute.org
DESCRIPTION:Title: \nNumerical Analysis of Finite Difference Methods Defi
 ned on Moiré Lattices\nAbstract: Placing a two-dimensional lattice with a
  small rotation gives rise to almost periodic “moire” patterns on a su
 perlattice scale much larger than the original lattice.  We have derived 
 continuum models for finite difference (tight-binding) models defined on t
 hese incommensurate lattices by extending classical methods used to derive
  continuum models from finite difference methods defined on lattices (nume
 rical diffusion\, dispersion\, shadow equations\, etc.). Twisted bilayer 
 graphene (TBG) has drawn significant interest due to recent experiments wh
 ich show that TBG can exhibit strongly correlated behavior such as the sup
 erconducting andcorrelated insulator phases. We have derived a continuum m
 odel which systematically accounts for the effects of structural relaxatio
 n. In particular\, we model structural relaxation by coupling linear elast
 icity to a stacking energy that penalizes disregistry. We compare the impa
 ct of the two relaxation models on the corresponding many-body model by de
 fining an interacting model projected to the flat bands. We perform tests 
 at charge neutrality at the Hartree–Fock level of theory and find that o
 ur systematic relaxation model gives quantitative differences from earlier
  simplified models.\n\nhttps://indico.flatironinstitute.org/event/4101/
URL:https://indico.flatironinstitute.org/event/4101/
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