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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
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).

O. Balabanov and H. Johannesson, Transport signatures of symmetry protection in 1D Floquet topological insulators, J. Phys.: Condens. Matter 32 015503 (2020).

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).

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)
Appears in Collections:Doctoral Theses from University of Gothenburg / Doktorsavhandlingar från Göteborgs universitet
Doctoral Theses / Doktorsavhandlingar Institutionen för fysik



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