Mathematical Physics and Harmonic Analysis Seminar
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Date Time |
Location | Speaker |
Title – click for abstract |
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02/14 1:50pm |
BLOC 302 |
Tal Malinovitch Rice University |
Twisted Bilayer Graphene in Commensurate Angles
Graphene is an exciting new two-dimensional material. Though it was considered theoretical for a long time, it was isolated about 20 years ago. Since then, it has drawn much attention due to its numerous exciting properties. More recently, it was discovered that when twisting two layers of graphene with respect to each other, at certain angles called ``magic angles", exotic transport properties emerge. The primary tool for studying this thus far is the famous Bistritzer-MacDonald model, which relies on several approximations.
This work aims to build the first steps in studying magic angles without using this model. Thus, we study a model for TBG without the approximations mentioned above in the continuum setting, using two copies of potential with the symmetries of graphene, sharing a common origin and twisted with respect to each other (with a possible shift between the lattices). We describe the angles for which the two twisted lattices are commensurate and prove the existence of Dirac cones for such angles. Furthermore, we show that for small potentials, the slope of the Dirac cones is small for commensurate angles that are close to incommensurate angles. This work is the first in a series of works to build a more fundamental understanding of the phenomenon of magic angles.
In this talk, I will introduce the main phenomena of twisted bilayer graphene, state our main results, and discuss some new results enabling us to extend this analysis to the so-called AB stacking twisted graphene. |
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02/21 1:50pm |
BLOC 302 |
Grigorii Monakov UC Irvine |
TBA
TBA |
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03/14 1:50pm |
BLOC 302 |
Matt Powell Georgia Institute of Technology |
TBA
TBA |
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03/21 1:50pm |
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Danko Moisés Aldunate Bascuñán |
TBA
TBA |
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04/04 1:50pm |
BLOC 304 |
Markus Pflaum University of Colorado |
Representations of energy landscapes by sublevel set persistent homology |
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04/11 1:50pm |
BLOC 302 |
Alexandro Luna UC Irvine |
TBA
TBA |
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04/25 1:50pm |
BLOC 302 |
Giorgio Young University of Michigan |
TBA
TBA |
The organizers for this seminar rotate annually.
Email Gregory Berkolaiko
to be put in touch with the current organizers.