SCALING PROPERTIES OF CONDUCTANCE AT INTEGER QUANTUM HALL PLATEAU TRANSITIONS

Citation
Xs. Wang et al., SCALING PROPERTIES OF CONDUCTANCE AT INTEGER QUANTUM HALL PLATEAU TRANSITIONS, Physical review. B, Condensed matter, 58(7), 1998, pp. 3576-3579
Citations number
27
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
58
Issue
7
Year of publication
1998
Pages
3576 - 3579
Database
ISI
SICI code
0163-1829(1998)58:7<3576:SPOCAI>2.0.ZU;2-T
Abstract
We investigate the scaling properties of zero-temperature conductances at integer quantum Hall plateau transitions in the lowest Landau band of a two-dimensional tight-binding model. Scaling is obeyed for all e nergy and system sizes with critical exponent v approximate to 7/3. Th e arithmetic average of the conductance at the localization-delocaliza tion critical point is found to be [G](c) = 0.506e(2)/h, in agreement with the universal longitudinal conductance [sigma(xx)] = 1/2e(2)/h pr edicted by an analytical theory. The probability distribution of the c onductance at the critical point is broad with a dip at small G.