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  Universal properties of boundary and interface charges in continuum models of one-dimensional insulators

Miles, S., Kennes, D. M., Schoeller, H., & Pletyukhov, M. (2021). Universal properties of boundary and interface charges in continuum models of one-dimensional insulators. Physical Review B, 104(15): 155409. doi:10.1103/PhysRevB.104.155409.

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PhysRevB.104.155409.pdf (Publisher version), 3MB
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https://arxiv.org/abs/2107.10549 (Preprint)
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https://dx.doi.org/10.1103/PhysRevB.104.155409 (Publisher version)
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 Creators:
Miles, S.1, Author
Kennes, D. M.1, 2, 3, Author              
Schoeller, H.1, Author
Pletyukhov, M.1, Author
Affiliations:
1Institut für Theorie der Statistischen Physik, RWTH Aachen, 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              

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 Abstract: We study single-channel continuum models of one-dimensional insulators induced by periodic potential modulations which are either terminated by a hard wall (the boundary model) or feature a single region of dislocations and/or impurity potentials breaking translational invariance (the interface model). We investigate the universal properties of excess charges accumulated near the boundary and the interface, respectively. We find a rigorous analytic proof for the earlier observed linear dependence of the boundary charge on the phase of the periodic potential modulation as well as extend these results to the interface model. The linear dependence on the phase shows a universal value for the slope and is intersected by discontinuous jumps by plus or minus one electron charge at the phase points where localized states enter or leave a band of extended states. Both contributions add up such that the periodicity of the excess charge in the phase over a 2π cycle is maintained. While in the boundary model this property is usually associated with the bulk-boundary correspondence, in the interface model a correspondence of scattering state and localized state contributions to the total interface charge are unveiled on the basis of the so-called nearsightedness principle.

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Language(s): eng - English
 Dates: 2021-07-232021-09-272021-10-062021-10-15
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: arXiv: 2107.10549
DOI: 10.1103/PhysRevB.104.155409
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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: 104 (15) Sequence Number: 155409 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008