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Topological invariants for holographic semimetals [PDF]
Journal of High Energy Physics, 2018 We study the behavior of fermion spectral functions for the holographic topological Weyl and nodal line semimetals. We calculate the topological invariants from the Green functions of both holographic semimetals using the topological Hamiltonian method ...
Yan Liu, Ya-Wen Sun
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Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons [PDF]
Nature Communications, 2017 The detection of topological invariants in the bulk remains challenging even in state-of-the-art experiments. Here, Cardanoet al. propose a method to read-out the Zak phases and topological invariants in one-dimensional chiral systems and detect those in
Filippo Cardano +11 more
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Many-body topological invariants from randomized measurements in synthetic quantum matter. [PDF]
Sci Adv, 2020 The quantities that classify certain many-body topological quantum phases can be measured with quantum simulators. Many-body topological invariants, as quantized highly nonlocal correlators of the many-body wave function, are at the heart of the ...
Elben A +6 more
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Characteristic Topological Invariants [PDF]
arXiv.org, 2023 The higher characteristics w_m(G) for a finite abstract simplicial complex G are topological invariants that satisfy k-point Green function identities and can be computed in terms of Euler characteristic in the case of closed manifolds, where we give a ...
O. Knill
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Molecular topological invariants of certain chemical networks
Main Group Metal Chemistry, 2021 Topological descriptors are the graph invariants that are used to explore the molecular topology of the molecular/chemical graphs. In QSAR/QSPR research, physico-chemical characteristics and topological invariants including Randić, atom-bond connectivity,
Ul Haq Bokhary Syed Ahtsham +3 more
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Topological Invariants of Vapor–Liquid, Vapor–Liquid–Liquid and Liquid–Liquid Phase Diagrams [PDF]
Entropy, 2021 The study of topological invariants of phase diagrams allows for the development of a qualitative theory of the processes being researched. Studies of the properties of objects in the same equivalence class may be carried out with the aim of predicting ...
Anastasia V. Frolkova
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Torsional topological invariants [PDF]
Physical Review D, 2018 Making use of the SO(3,1) Lorentz algebra, we derive in this paper two series of Gauss-Bonnet type identities involving torsion, one being of the Pontryagin type and the other of the Euler type.
H. Nieh
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Non-Hermitian Floquet Phases with Even-Integer Topological Invariants in a Periodically Quenched Two-Leg Ladder [PDF]
Entropy, 2020 Periodically driven non-Hermitian systems could possess exotic nonequilibrium phases with unique topological, dynamical, and transport properties. In this work, we introduce an experimentally realizable two-leg ladder model subjecting to both time ...
Longwen Zhou
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Topological invariants and Holomorphic Mappings
Comptes Rendus. Mathématique, 2022 Invariants for Riemann surfaces covered by the disc and for hyperbolic manifolds in general involving minimizing the measure of the image over the homotopy and homology classes of closed curves and maps of the $k$-sphere into the manifold are ...
Greene, Robert E. +2 more
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Robust measurement of wave function topology on NISQ quantum computers [PDF]
Quantum, 2023 Topological quantum phases of quantum materials are defined through their topological invariants. These topological invariants are quantities that characterize the global geometrical properties of the quantum wave functions and thus are immune to local ...
Xiao Xiao, J. K. Freericks, A. F. Kemper
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