Critical Conductance and Its Fluctuations at Integer Hall Plateau Transitions

Details Critical Conductance and Its Fluctuations at Integer Hall Plateau Transitions Critical Conductance and Its Fluctuations at Integer Hall Plateau Transitions

1996-08-23

arxiv.org/abs/cond-mat/9608111v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 3 Postscript figures included, Final version with minor corrections, To appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.77.4426

Under periodic boundary condition in the transverse direction, we calculate the averaged zero-temperature two-terminal conductance ($$) and its statistical fluctuations ($<(\dg)^{2n}>$ for $n\le 4$) at the critical point of integer quantum Hall plateau transitions. We find {\it universal} values for $=(0.58\pm0.03){e^2\over h}$, and $<(\dg)^{2n}>=({e^2\over h})^{2n}A_{2n}$, where $A_{2,4,6,8}=0.081\pm0.005$; $0.013\pm0.003$; $0.0026\pm0.005$; and $(8\pm2)\times10^{-4}$ respectively. We also determine the leading finite size scaling corrections to these observables. Comparisons with experiments will be made.

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