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  Universality of Boundary Charge Fluctuations

Weber, C. S., Piasotski, K., Pletyukhov, M., Klinovaja, J., Loss, D., Schoeller, H., et al. (2021). Universality of Boundary Charge Fluctuations. Physical Review Letters, 126(1): 016803. doi:10.1103/PhysRevLett.126.016803.

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PhysRevLett.126.016803.pdf (Publisher version), 2MB
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supplement_QBFluc.pdf (Supplementary material), 338KB
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See Supplemental Material for the Cs used in Fig 4, details about the calculations in the non-interacting cases considered, as well as a discussion of finite temperature effects.
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https://arxiv.org/abs/2008.08431 (Preprint)
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 Creators:
Weber, C. S.1, Author
Piasotski, K.1, Author
Pletyukhov, M.1, Author
Klinovaja, J.2, Author
Loss, D.2, Author
Schoeller, H.1, Author
Kennes, D. M.1, 3, 4, Author              
Affiliations:
1Institut für Theorie der Statistischen Physik, RWTH Aachen, 52056 Aachen, Germany and Jülich Aachen Research Alliance (JARA), Fundamentals of Future Information Technology, ou_persistent22              
2Department of Physics, University of Basel, 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 establish the quantum fluctuations ΔQ2B of the charge QB accumulated at the boundary of an insulator as an integral tool to characterize phase transitions where a direct gap closes (and reopens), typically occurring for insulators with topological properties. The power of this characterization lies in its capability to treat different kinds of insulators on equal footing, being applicable to transitions between topological and nontopological band, Anderson, and Mott insulators alike. In the vicinity of the phase transition, we find a universal scaling ΔQ2B(Eg) as a function of the gap size Eg and determine its generic form in various dimensions. For prototypical phase transitions with a massive Dirac-like bulk spectrum, we demonstrate a scaling with the inverse gap in one dimension and a logarithmic one in two dimensions.

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Language(s): eng - English
 Dates: 2020-08-192020-11-242021-01-082021-01-08
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevLett.126.016803
arXiv: 2008.08431
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Grant ID : 757725
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)

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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 126 (1) Sequence Number: 016803 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1