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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. (2021). Polaritonic Hofstadter Butterfly and Cavity-Control of the Quantized Hall Conductance.

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2109.15075.pdf (Preprint), 3MB
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https://arxiv.org/abs/2109.15075 (Preprint)
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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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Free keywords: Condensed Matter, Mesoscale and Nanoscale Physics, cond-mat.mes-hall,Quantum Physics, quant-ph
 Abstract: In a previous work [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. 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 2D 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: 2021-09-30
 Publication Status: Published online
 Pages: 23
 Publishing info: -
 Table of Contents: -
 Rev. Type: No review
 Identifiers: arXiv: 2109.15075
 Degree: -

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