Float-up picture of extended levels in the integer quantum Hall effect: A numerical study
Author(s) -
D. N. Sheng,
Zheng-Yu Weng,
Xiao-Gang Wen
Publication year - 2001
Publication title -
physical review. b, condensed matter
Language(s) - English
Resource type - Journals
eISSN - 1095-3795
pISSN - 0163-1829
DOI - 10.1103/physrevb.64.165317
Subject(s) - quantum hall effect , condensed matter physics , physics , quantum spin hall effect , magnetic field , scaling , quantum phase transition , phase diagram , quantum , quantum mechanics , conductance , phase transition , phase (matter) , mathematics , geometry
The fate of the integer quantum Hall effect (IQHE) at weak magnetic field is studied numerically in the presence of correlated disorders. We find a systematic float-up and merging picture for extended levels on the low-energy side which results in direct transitions from higher-plateau IQHE states to the insulator. Such direct transitions are controlled by a quantum critical point with a universal scaling form of conductance. The phase diagram is in good agreement with recent experiments
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