In quantum Hall effect (QHE), the plateau observed in $R_H$ (Hall resistance) appearing precisely at multiples of $e^2/h$ is a characteristic feature. It can be observed only at low temperatures. My question is, what would happen to these plateau if the systems is heated gradually ? I imagine the plateau will disappear finally and the classical $R_H \sim B/ne$ may be recovered. Is there any experiments on this ? Is the recovery sharp or just a crossover ? Is there any scaling phenomena, say, quantities dependent on $k_BT/\hbar\omega_c$, with $T=$temperature, $\omega_c=$cyclotron frequency ?
Yes experiments are done on that. With increasing temperature the plateaus become smaller and smaller and finally disappear. References are here. I hope they are useful.
- Observation of quantized hall effect and vanishing resistance at fractional Landau level occupation, H.L. Störmera, D.C. Tsuib, A.C. Gossarda, J.C.M. Hwanga, Volumes 117–118, Part 2, March 1983, Pages 688–690
- "Introduction to Quantum Hall Effect" By Keshav Narin Shrivastava, Appendix F
- Scaling of the Quantum Hall Plateau Transition, Frank Hohls and Rolf J. Haug
- The Quantum Hall Effect: Poincaré Seminar 2004 By Benoît Douçot, Vincent Pasquier, Vincent Rivasseau, Chapter 4