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  Testing the Renormalization of the von Klitzing Constant by Cavity Vacuum Fields

Enkner, J., Graziotto, L., Appugliese, F., Rokaj, V., Wang, J., Ruggenthaler, M., et al. (2024). Testing the Renormalization of the von Klitzing Constant by Cavity Vacuum Fields. Physical Review X, 14(2): 021038. doi:10.1103/PhysRevX.14.021038.

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Supplemental Material: includes descriptions of the methods used for data analysis, additional unbalance data, a temperature study, plus a section to elaborate the theory. Section 1 describes the basic principle of unbalance measurements using the Wheatstone Bridge. In sections 2 and 3, we provide additional data in combination with a description of the error estimation methods applied to substantiate our findings reported in the main text. The newly added section 4 discusses temperature measurements, illuminating phenomenological differences between cavity and reference samples. Section 5 discusses the main theoretical motivation for this experiment in more detail.
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https://doi.org/10.1103/PhysRevX.14.021038 (Publisher version)
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 Creators:
Enkner, J.1, 2, Author
Graziotto, L.1, 2, Author
Appugliese, F.1, 2, Author
Rokaj, V.3, 4, Author
Wang, J.5, Author
Ruggenthaler, M.6, Author           
Reichl, C.7, Author
Wegscheider, W.7, Author
Rubio, A.6, 8, Author           
Faist, J.1, 2, Author
Affiliations:
1Institute of Quantum Electronics, ETH Zürich, ou_persistent22              
2Quantum Center, ETH Zürich, ou_persistent22              
3ITAMP, Center for Astrophysics | Harvard & Smithsonian, ou_persistent22              
4Department of Physics, Harvard University, ou_persistent22              
5Department of Physics, Temple University, Philadelphia, ou_persistent22              
6Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
7Laboratory for Solid State Physics, ETH Zürich, ou_persistent22              
8Center for Computational Quantum Physics, Flatiron Institute, ou_persistent22              

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 Abstract: The value of fundamental physical constants is affected by the coupling of matter to the electromagnetic vacuum state, as predicted and explained by quantum electrodynamics. In this work, we present a millikelvin magnetotransport experiment in the quantum Hall regime that assesses the possibility of the von Klitzing constant being modified by strong cavity vacuum fields. By employing a Wheatstone bridge, we measure the difference between the quantized Hall resistance of a cavity-embedded Hall bar and the resistance standard, achieving an accuracy down to one part in 105 for the lowest Landau level. While our results do not suggest any deviation that could imply a modified Hall resistance, our work represents pioneering efforts in exploring the fundamental implications of vacuum fields in solid-state systems.

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Language(s): eng - English
 Dates: 2023-11-212024-05-022024-06-05
 Publication Status: Published online
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2311.10462
DOI: 10.1103/PhysRevX.14.021038
 Degree: -

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Project name : We thank Giacomo Scalari for useful discussions and Peter Märki for technical support. We acknowledge funding from the Swiss National Science Foundation through Grant No. 200020-207795. V. R. acknowledges support from the U.S. National Science Foundation through a grant for ITAMP at Harvard University. J. F. thanks the Alexander von Humboldt Foundation for their support.
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Title: Physical Review X
  Abbreviation : Phys. Rev. X
Source Genre: Journal
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Publ. Info: New York, NY : American Physical Society
Pages: - Volume / Issue: 14 (2) Sequence Number: 021038 Start / End Page: - Identifier: Other: 2160-3308
CoNE: https://pure.mpg.de/cone/journals/resource/2160-3308