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  Many-body localization and the area law in two dimensions

Decker, K. S. C., Kennes, D. M., & Karrasch, C. (2022). Many-body localization and the area law in two dimensions. Physical Review B, 106(18): L180201. doi:10.1103/PhysRevB.106.L180201.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-FCAC-B Version Permalink: https://hdl.handle.net/21.11116/0000-000B-F694-8
Genre: Journal Article

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PhysRevB.106.L180201.pdf (Publisher version), 937KB
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https://arxiv.org/abs/2106.12861 (Preprint)
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https://doi.org/10.1103/PhysRevB.106.L180201 (Publisher version)
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 Creators:
Decker, K. S. C.1, Author
Kennes, D. M.2, 3, 4, Author           
Karrasch, C.1, Author
Affiliations:
1Technische Universität Braunschweig, Institut für Mathematische Physik, ou_persistent22              
2Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology, ou_persistent22              
3Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
4Center for Free-Electron Laser Science, ou_persistent22              

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 Abstract: We study the high-energy phase diagram of a two-dimensional spin 1/2 Heisenberg model on a square lattice in the presence of either quenched or quasiperiodic disorder. The use of large-scale tensor network numerics allows us to compute the bipartite entanglement entropy for systems of up to 60×7 lattice sites. We provide evidence for the existence of a many-body localized regime for large disorder strength that features an area law in excited states and that violates the eigenstate thermalization hypothesis. From a finite-size analysis, we determine an estimate for the critical disorder strength where the transition to the ergodic regime occurs in the quenched case.

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Language(s): eng - English
 Dates: 2022-10-042021-07-222022-10-312022-11-222022-11-01
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 2106.12861
DOI: 10.1103/PhysRevB.106.L180201
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Project name : K.D. and C.K. acknowledge support by the Deutsche Forschungsgemeinschaft (DFG) through the Emmy Noether program (Grant No. KA3360/2-1) as well as by “Niedersächsisches Vorab” through the “Quantum- and Nano-Metrology (QUANOMET)” initiative within Project No. P-1. D.M.K. was supported by the DFG via Germany's Excellence Strategy—Cluster of Excellence Matter and Light for Quantum Computing (ML4Q, Project No. EXC 2004/1, Grant No. 390534769). We acknowledge support from the Max Planck–New York City Center for Non-Equilibrium Quantum Phenomena.
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 106 (18) Sequence Number: L180201 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008