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  Rational boundary charge in one-dimensional systems with interaction and disorder

Pletyukhov, M., Kennes, D. M., Piasotski, K., Klinovaja, J., Loss, D., & Schoeller, H. (2020). Rational boundary charge in one-dimensional systems with interaction and disorder. Physical Review Research, 2(3): 033345. doi:10.1103/PhysRevResearch.2.033345.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0007-B857-8 Version Permalink: http://hdl.handle.net/21.11116/0000-0007-DDD3-2
Genre: Journal Article

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PhysRevResearch.2.033345.pdf (Publisher version), 2MB
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PhysRevResearch.2.033345.pdf
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Open Access. - Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
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2020
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https://arxiv.org/abs/2004.00463 (Preprint)
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 Creators:
Pletyukhov, M.1, Author
Kennes, D. M.1, 2, 3, Author              
Piasotski, K.1, Author
Klinovaja, J.4, Author
Loss, D.4, Author
Schoeller, H.1, Author
Affiliations:
1Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA—Fundamentals of Future Information Technology, ou_persistent22              
2Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
3Center for Free Electron Laser Science, ou_persistent22              
4Department of Physics, University of Basel, ou_persistent22              

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 Abstract: We study the boundary charge QB of generic semi-infinite one-dimensional insulators with translational invariance and show that nonlocal symmetries (i.e., including translations) lead to rational quantizations p/q of QB. In particular, we find that (up to an unknown integer) the quantization of QB is given in integer units of 1/2¯ρ and 1/2(¯ρ−1), where ρ is the average charge per site (which is a rational number for an insulator). This is a direct generalization of the known half-integer quantization of QB for systems with local inversion or local chiral symmetries to any rational value. Quite remarkably, this rational quantization remains valid even in the presence of short-ranged electron-electron interactions as well as static random disorder (breaking translational invariance). This striking stability can be traced back to the fact that local perturbations in insulators induce only local charge redistributions. We establish this result with complementary methods including density matrix renormalization group calculations, bosonization methods, and exact solutions for particular lattice models. Furthermore, for the special case of half-filling ¯ρ=1/2, we present explicit results in single-channel and nearest-neighbor hopping models and identify Weyl semimetal physics at gap closing points. Our general framework also allows us to shed new light on the well-known rational quantization of soliton charges at domain walls.

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Language(s): eng - English
 Dates: 2020-04-022020-08-052020-09-01
 Publication Status: Published online
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 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevResearch.2.033345
arXiv: 2004.00463
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Grant ID : 757725
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)

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Title: Physical Review Research
Source Genre: Journal
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Publ. Info: College Park, Maryland, United States : American Physical Society (APS)
Pages: - Volume / Issue: 2 (3) Sequence Number: 033345 Start / End Page: - Identifier: ISSN: 2643-1564
CoNE: https://pure.mpg.de/cone/journals/resource/2643-1564