Evidence for Charge-Flux Duality near the Quantum Hall Liquid-to-Insulator Transition

See allHide authors and affiliations

Science  25 Oct 1996:
Vol. 274, Issue 5287, pp. 589-592
DOI: 10.1126/science.274.5287.589


A remarkable symmetry has been observed between the diagonal, nonlinear, current-voltage (I-Vxx) characteristics taken in the fractional quantum Hall effect (FQHE) liquid state of the two-dimensional electron system and those taken in the bordering insulating phase. When properly selected, the I-Vxx traces in the FQHE regime are identical, within experimental errors, to Vxx-I traces in the insulator, that is, with the roles of the currents and voltages exchanged. These results can be interpreted as evidence for the existence of charge-flux duality symmetry in the system.