Quantum Hall resistance renormaliziation by cavity vacuum fields

Abstract

The emerging field of Cavitronics aims at enabling the control of collective phenomena in cavity-embedded solid-state platforms, purely through the interaction with the engineered electromagnetic quantum ground state. I will present an experiment aimed at assessing the modification of the quantized Hall resistance in a two-dimensional electron gas via the vacuum fields of a complementary split-ring resonator. By developing an on-chip Wheatstone bridge, we can measure deviations from quantization down to 1 part in 105. Although in the limit of zero temperature we recover the exact quantization, we have observed how the cavity can modify the transport in the Hall states when the temperature is increased.