Next week: Alexander Watson, 11-Nov-25, 12:20pm Central
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Ellad Tadmor
Nov 4, 2025, 8:17:28 AMNov 4
to aem-solid...@umn.edu
AEM Mechanics Research Seminar
Tuesday 11-Nov-2025, 12:20pm Central
Prof. Alexander Watson
School of Mathematics, University of Minnesota
Title: Electronic and mechanical continuum models of twisted bilayer graphene
Abstract: Moire materials, made by stacking 2D materials with slightly mismatched Bravais lattices, have attracted huge attention in recent years because of their remarkable ability to realize exotic quantum phenomena such as ”unconventional” superconductivity. These phenomena are generally predicted using continuum PDE models which extract the essential physics at the scale of the material’s moire pattern. I will show how these models can be derived using systematic multiple-scales analysis with rigorous error estimates. I will first present the derivation for models of single-particle electronic properties, such as the Bistritzer-MacDonald model of twisted bilayer graphene. I will then present the case of mechanical models describing structural relaxation and vibration (phonons). Our derivations and proofs clarify the parameter regime of validity of such continuum approximations and allow for systematic derivations of higher-order corrections.
For more information, visit the AEM Mechanics Research Seminar website:
Tuesday 11-Nov-2025, 12:20pm Central
In-person: Room 313, Akerman Hall, University of Minnesota
Online: Webinar registration link
School of Mathematics, University of Minnesota
Title: Electronic and mechanical continuum models of twisted bilayer graphene
Abstract: Moire materials, made by stacking 2D materials with slightly mismatched Bravais lattices, have attracted huge attention in recent years because of their remarkable ability to realize exotic quantum phenomena such as ”unconventional” superconductivity. These phenomena are generally predicted using continuum PDE models which extract the essential physics at the scale of the material’s moire pattern. I will show how these models can be derived using systematic multiple-scales analysis with rigorous error estimates. I will first present the derivation for models of single-particle electronic properties, such as the Bistritzer-MacDonald model of twisted bilayer graphene. I will then present the case of mechanical models describing structural relaxation and vibration (phonons). Our derivations and proofs clarify the parameter regime of validity of such continuum approximations and allow for systematic derivations of higher-order corrections.
For more information, visit the AEM Mechanics Research Seminar website:
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Ellad B. Tadmor, Ph.D.
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
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