English

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

Mesoscale and Nanoscale Physics 2023-11-20 v1 Other Condensed Matter

Abstract

In light of recent developments demonstrating the impact of cavity vacuum fields inducing the breakdown of topological protection in the integer quantum Hall effect, a compelling question arises: what effects might cavity vacuum fields have on fundamental constants in solid-state systems? In this work we present an experiment that assesses the possibility of the von Klitzing constant itself being modified. By employing a Wheatstone bridge, we precisely measure the difference between the quantized Hall resistance of a cavity-embedded Hall bar and the resistance standard, achieving an accuracy down to 1 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.

Keywords

Cite

@article{arxiv.2311.10462,
  title  = {Testing the Renormalization of the von Klitzing Constant by Cavity Vacuum Fields},
  author = {Josefine Enkner and Lorenzo Graziotto and Felice Appugliese and Vasil Rokaj and Jie Wang and Michael Ruggenthaler and Christian Reichl and Werner Wegscheider and Angel Rubio and Jérôme Faist},
  journal= {arXiv preprint arXiv:2311.10462},
  year   = {2023}
}