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Entanglement and spectra in topological many-body localized phases

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Kennes,  D. M.
Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free Electron Laser Science;

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PhysRevB.101.014208.pdf
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Citation

Decker, K. S. C., Kennes, D. M., Eisert, J., & Karrasch, C. (2020). Entanglement and spectra in topological many-body localized phases. Physical Review B, 101(1): 014208. doi:10.1103/PhysRevB.101.014208.


Cite as: https://hdl.handle.net/21.11116/0000-0005-9D0C-E
Abstract
Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing nonequilibrium dynamics. What is less clear, however, is how topological features interplay with many-body localized phases as well as the nature of the transition between a topological and a trivial state within the latter. In this paper, we numerically address these questions using a combination of extensive tensor network calculations, specifically density matrix renormalization-group-X, as well as exact diagonalization, leading to a comprehensive characterization of Hamiltonian spectra and eigenstate entanglement properties.