Resistance fluctuations in quantum hall transitions: Network of compressible-incompressible regions

Tomoki Machida, Susumu Ishizuka, Susumu Komiyama, Koji Muraki, Yoshiro Hirayama

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


Resistance fluctuations in integer and fractional quantum Hall transitions are studied in modulation-doped Al0.3Ga0.7As/GaAs heterostructures. We examine the role of coherence in the fluctuations by investigating the conductance through two scattering regions that are spatially separated but interact quantum-mechanically with each other. Though the conductor is in a coherent regime, the phase coherence is found to play an insignificant role in determining the observed pattern of fluctuations. In transition regions where the average filling factor of Landau levels takes a noninteger value, n-1<v<n, the electron system splits into incompressible subregions of v=n and those of v=n-1, which are separated by percolating compressible strips. Irregular evolution of the network of compressible strips is suggested to be the origin of the resistance fluctuations in integer quantum Hall transitions. A similar mechanism is also suggested for fractional quantum-Hall transitions.

Original languageEnglish
Article number045318
Pages (from-to)453181-453186
Number of pages6
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
Publication statusPublished - 2001


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