Skip to main content

Loading Events

« All Events

  • This event has passed.

Paul Cazeaux, The University of Kansas, Twisted, incommensurate layered materials: modeling, computations and topology

April 6, 2021 | 3:00 pm - 4:00 pm EDT

Two-dimensional crystals have been intensely investigated both experimentally and theoretically since graphene was exfoliated from graphite. Physicists have recently developed the ability to stack one layer on another with a twist angle controlled to the scale of .1 degree with the goal of creating two dimensional materials with desired electronic, optical, and mechanical properties.
Unusual geometries appear at the atomic-scale, such as lattice mismatches, twist angles and Moire patterns, providing new challenges for our fundamental understanding and modeling in the absence of global periodicity.
We discuss novel mathematical models for the analysis and computational prediction of mechanical relaxation of two-dimensional layered atomic crystals in the presence of large-scale moiré patterns.
The concept of configuration space or hull, previously introduced for the study of transport properties in aperiodic materials by Belissard et al., is shown to allow for a unified description of mechanical as well as electronic structure models for any materials in the truly incommensurate (aperiodic) regime.
In particular, we will talk about the emergence of topological invariants and transport in mismatched bilayer structures.

Details

Date:
April 6, 2021
Time:
3:00 pm - 4:00 pm EDT
Event Category:

Venue

Zoom