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Symmetry-protected topological phases: From Floquet theory to machine learning


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Title: Symmetry-protected topological phases: From Floquet theory to machine learning
Authors: Balabanov, Oleksandr
E-mail: oleksandr.balabanov@physics.gu.se
Issue Date: 18-Aug-2020
University: Göteborgs universitet. Naturvetenskapliga fakulteten
Institution: Department of Physics ; Institutionen för fysik
Parts of work: O. Balabanov and H. Johannesson, Robustness of symmetry-protected topological states against time-periodic perturbations, Phys. Rev. B 96, 035149 (2017).
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O. Balabanov and H. Johannesson, Transport signatures of symmetry protection in 1D Floquet topological insulators, J. Phys.: Condens. Matter 32 015503 (2020).
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O. Balabanov, Transport through periodically driven systems: Green’s function approach formulated within frequency domain (2018), (preprint available on arXiv)

O. Balabanov and M. Granath, Unsupervised learning using topological data augmentation, Phys. Rev. Research 2, 013354 (2020).
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O. Balabanov and M. Granath, Unsupervised interpretable learning of topological indices invariant under permutations of atomic bands (2020), (preprint available on arXiv)
Date of Defence: 2020-09-11
Disputation: fredagen den 11 september 2020, kl 15:15 i PJ-salen, Institutionen för fysik, Fysikgården 2, Göteborg
Degree: Doctor of Philosophy
Publication type: Doctoral thesis
Keywords: Topological quantum matter,
neural networks
Floquet theory
Abstract: It is by now a well known fact that boundary states in conventional time-independent topological insulators are protected against perturbations that preserve relevant symmetries. In the first part of this thesis, accompanying Papers A - C, we study how this robustness extends to time-periodic (Floquet) topological insulators. Floquet theory allows us to go beyond ordinary time-independent perturbations and study also periodically-driven perturbations of the boundary states. The time-depende... more
ISBN: ISBN 978-91-8009-015-5 (PDF)
ISBN 978-91-8009-014-8 (PRINT)
URI: http://hdl.handle.net/2077/64531
Appears in Collections:Doctoral Theses from University of Gothenburg / Doktorsavhandlingar från Göteborgs universitet
Doctoral Theses / Doktorsavhandlingar Institutionen för fysik

 

 

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