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  Polaritonic Hofstadter butterfly and cavity control of the quantized Hall conductance

Rokaj, V., Penz, M., Sentef, M. A., Ruggenthaler, M., & Rubio, A. (2022). Polaritonic Hofstadter butterfly and cavity control of the quantized Hall conductance. Physical Review B, 105(20): 205424. doi:10.1103/PhysRevB.105.205424.

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PhysRevB.105.205424.pdf (Publisher version), 4MB
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https://arxiv.org/abs/2109.15075 (Preprint)
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https://doi.org/10.1103/PhysRevB.105.205424 (Publisher version)
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 Creators:
Rokaj, V.1, 2, 3, Author           
Penz, M.4, Author
Sentef, M. A.2, 5, Author           
Ruggenthaler, M.1, 2, Author           
Rubio, A.1, 2, 6, Author           
Affiliations:
1Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
2Center for Free-Electron Laser Science, ou_persistent22              
3ITAMP, Harvard-Smithsonian Center for Astrophysics, ou_persistent22              
4Department of Mathematics, University of Innsbruck, ou_persistent22              
5Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_3012828              
6Center for Computational Quantum Physics (CCQ), Flatiron Institute, ou_persistent22              

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 Abstract: In a previous work [Rokaj et al., Phys. Rev. Lett. 123, 047202 (2019)] a translationally invariant framework called quantum-electrodynamical Bloch (QED-Bloch) theory was introduced for the description of periodic materials in homogeneous magnetic fields and strongly coupled to the quantized photon field in the optical limit. For such systems, we show that QED-Bloch theory predicts the existence of fractal polaritonic spectra as a function of the cavity coupling strength. In addition, for the energy spectrum as a function of the relative magnetic flux we find that a terahertz cavity can modify the standard Hofstadter butterfly. In the limit of no quantized photon field, QED-Bloch theory captures the well-known fractal spectrum of the Hofstadter butterfly and can be used for the description of two-dimensional materials in strong magnetic fields, which are of great experimental interest. As a further application, we consider Landau levels under cavity confinement and show that the cavity alters the quantized Hall conductance and that the Hall plateaus are modified as σxy=e2ν/h(1+η2) by the light-matter coupling η. Most of the aforementioned phenomena should be experimentally accessible, and corresponding implications are discussed.

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Language(s): eng - English
 Dates: 2022-02-242021-10-022022-05-062022-05-192022-05-15
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: arXiv: 2109.15075
DOI: 10.1103/PhysRevB.105.205424
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Project name : This work was supported by the European Research Council (Grant No. ERC-2015-AdG694097), the Cluster of Excellence “Ad- vanced Imaging of Matter” (AIM), Grupos Consolidados (IT1249-19), SFB925 “Light induced dynamics and control of correlated quantum systems,” [...]
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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: 105 (20) Sequence Number: 205424 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008