Workshop on Analysis, Modeling, and Computation for Nanoscale Systems
Location: Fields Institute, Room 230
Description
2D nanoscale systems have become the subject of intense research efforts, starting with the discovery and potential applications of graphene over fifteen years ago, followed more recently by the discovery of 2D structures with semiconducting or insulating character. During the past few years, materials scientists have sought to combine these layers in interesting ways to develop smaller and improved devices than traditional materials for optical and electronic applications.
Major mathematical challenges arise from the fact that although each single layer 2D material is periodic, the combined stacked layers are incommensurate (not periodic) because either the ratio of the lattice constants of each layer are irrational or because one layer is rotated on another. The incommensurate structure makes it impossible to apply the standard tools for periodic structures that utilize the Fourier-Bloch-Floquet transform.
The electric conductivity of atomically thick materials such as graphene and black phosphorous yields an effective complex permittivity with a negative real part in the far- and mid-infrared spectrum. This feature allows for the propagation of slowly decaying electromagnetic waves, called surface plasmons-polaritons (SPPs) that are confined near the material interface with wavelengths much shorter than the wavelength of the free-space radiation. These SPPs are promising ingredients in the design of ultrafast photonic circuits
Recent research in the mathematics community has made great progress towards the development of rigorous foundations and efficient and accurate methods to compute the electronic, optical, and mechanical properties of incommensurate 2D heterostructures, defects, edge states, and surface plasmonics. This workshop will bring together mathematicians and scientists to review recent progress and to chart new directions.
Please register here.
Schedule
09:30 to 10:20 |
Title TBA
Eugene Mele, University of Pennsylvania |
10:30 to 11:00 |
Coffee break
|
11:00 to 11:50 |
Title TBA
Guillaume Bal, University of Chicago |
12:00 to 14:00 |
Lunch
|
14:00 to 14:50 |
Title TBA
Efthimios Kaxiras, Harvard University |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:20 |
Title TBA
Eric Cances, Ecole des Ponts ParisTech and Inria Paris |
09:30 to 10:20 |
Philip Kim, Harvard University |
10:30 to 11:00 |
Coffee break
|
11:00 to 11:50 |
Mitchell Luskin, University of Minnesota |
12:00 to 14:00 |
Lunch
|
14:00 to 14:50 |
Luis Martin-Moreno, Instituto de Ciencia de Materiales de Aragón |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:20 |
Title TBA
Nanfang Yu, Columbia University |
16:30 to 16:50 |
Title TBA
Hyobin Yoo, Harvard University |
09:30 to 10:20 |
Dionisios Margetis, University of Maryland, College Park |
10:30 to 11:00 |
Coffee break
|
11:00 to 11:50 |
Title TBA
Tony Low, University of Minnesota |
12:00 to 14:00 |
Lunch
|
14:00 to 14:50 |
Title TBA
Petr Plechac, University of Delaware |
15:00 to 15:30 |
Coffee break
|
15:30 to 15:50 |
Title TBA
Shiang Fang, Harvard University |
16:00 to 16:20 |
Title TBA
Stephen Carr, Harvard University |
16:30 to 16:50 |
Title TBA
Paul Cazeaux, University of Kansas |
09:30 to 09:50 |
Daniel Massatt, University of Minnesota - Twin Cities |
10:00 to 10:20 |
Title TBA
Rebecca Engelke, Harvard University (Cambridge, MA, US) |
10:30 to 11:00 |
Coffee break
|
11:00 to 11:20 |
Title TBA
Vera Andreeva, University of Minnesota |
11:30 to 11:50 |
Title TBA
Marko Petrovic, University of Delaware |
12:00 to 14:00 |
Lunch
|
14:00 to 15:00 |
Discussion
|
15:00 to 15:30 |
Coffee break
|