Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session J49: Metals: Magnetic and Structural
2:30 PM–5:30 PM,
Tuesday, March 3, 2020
Room: Mile High Ballroom 1B
Sponsoring
Unit:
DMP
Chair: Hans Boschker, Max Planck Institute for Solid State Research
Abstract: J49.00014 : Exploring band topology of engineered materials using deep neural networks
Presenter:
Vittorio Peano
(Max Planck Inst for Sci Light)
Authors:
Vittorio Peano
(Max Planck Inst for Sci Light)
Florian Sapper
(Max Planck Inst for Sci Light)
Florian Marquardt
(Max Planck Inst for Sci Light)
The applications we consider are geared towards engineered materials such as photonic and phononic crystals in that we use as an input of our neural network the unit cell geometry. We demonstrate the use of our NN to perform efficiently the statistical analysis of the topological properties of selected distributions of potentials. Our analysis is based on recent break-throughs in the understanding of band structure topology and ties to the the systematic classification of all natural materials based on their electronic topological properties (sometimes known as Topological Quantum Chemistry). Moreover, we demonstrate the use of our NN for optimization (random or gradient based) of band structures in the design of (i) band inversions, (ii) physical implementations of fragile topology, (iii) physical implementations of selected topological TB models.
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