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Machine learning topological invariants of non-Hermitian systems [PDF]
Physical Review A, 2020 The study of topological properties by machine learning approaches has attracted considerable interest recently. Here we propose machine learning the topological invariants that are unique in non-Hermitian systems.
Ling-Feng Zhang +5 more
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First principles calculation of topological invariants of non-Hermitian photonic crystals [PDF]
Communications Physics, 2020 Topological photonic systems have recently emerged as an exciting new paradigm to guide light without back-reflections. The Chern topological numbers of a photonic platform are usually written in terms of the Berry curvature, which depends on the normal ...
F. Prudêncio, M. Silveirinha
semanticscholar +1 more source
On topological polynomials and indices for metal-organic and cuboctahedral bimetallic networks
Main Group Metal Chemistry, 2022 A molecular graph consists of bonds and atoms, where atoms are present as vertices and bonds are present as edges. We can look at topological invariants and topological polynomials that furnish bioactivity and physio-chemical features for such molecular ...
Yasmeen Farhana +4 more
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Zero modes of velocity field and topological invariant in quantum torus
Results in Physics, 2021 We propose a velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the velocity field and find that these zero modes play the role of the effective
Annan Fan, Shi-Dong Liang
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Non-Bloch topological invariants in a non-Hermitian domain wall system [PDF]
Physical review B, 2019 We study non-Bloch bulk-boundary correspondence in a non-Hermitian Su-Schieffer-Heeger model in a domain-wall configuration where the left and right bulks have different parameters.
Tian-Shu Deng, W. Yi
semanticscholar +1 more source
Topological states between inversion symmetric atomic insulators
SciPost Physics, 2021 One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample.
Ana Silva, Jasper van Wezel
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Tutorial: Computing Topological Invariants in 2D Photonic Crystals [PDF]
Advanced Quantum Technologies, 2019 The field of topological photonics emerged as one of the most promising areas for applications in transformative technologies: possible applications are in topological lasers or quantum optics interfaces.
María Blanco de Paz +7 more
semanticscholar +1 more source
New topological invariants in non-Hermitian systems [PDF]
Journal of Physics: Condensed Matter, 2018 Both theoretical and experimental studies of topological phases in non-Hermitian systems have made a remarkable progress in the last few years of research.
Ananya Ghatak, T. Das
semanticscholar +1 more source
Knot invariants and topological strings [PDF]
Nuclear Physics B, 2000 23 pages, harvmac, 3 figures; An error in the Schwinger computation in two dimensions corrected; references ...
Ooguri, Hirosi, Vafa, Cumrun
openaire +3 more sources
Dynamic winding number for exploring band topology
Physical Review Research, 2020 Topological invariants play a key role in the characterization of topological states. Because of the existence of exceptional points, it is a great challenge to detect topological invariants in non-Hermitian systems.
Bo Zhu +3 more
doaj +1 more source