Critical Conductance and Its Fluctuations at Integer Hall Plateau Transitions

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Under periodic boundary condition in the transverse direction, we calculate the averaged zero-temperature two-terminal conductance (<G>) and its statistical fluctuations (<()²ⁿ> for n≤ 4) at the critical point of integer quantum Hall plateau transitions. We find universal values for <G>=(0.58±0.03)e² h, and <()²ⁿ>=(e² h)²ⁿA₂ₙ, where A₂,₄,₆,₈=0.081±0.005; 0.013±0.003; 0.0026±0.005; and (8±2)×10⁻⁴ respectively. We also determine the leading finite size scaling corrections to these observables. Comparisons with experiments will be made.