1996/11/19 by Yi‐Kuo Yu, Yu, Yi-Kuo
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.cond-mat/9611137
openalex publication_date 1996/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The chiral surface electrons in the bulk quantum Hall effect probably form the first extended system in which conductance fluctuations can be calculated non-perturbatively in the presence of disorder. By use of the Kubo formula with appropriate boundary conditions, we calculate exactly the variance of conductance with non-perturbative methods. We find that the conductance fluctuations of this system are ``nonuniversal'' and the variance of the conductance scales in a very peculiar way. This result can be checked with exact computation using the Landauer-Buttiker formula and both methods show the same scaling behavior. We have also calculated the diffusion constant fluctuations exactly. We find that the diffusion constant fluctuations vanish and thus play no role in the conductance fluctuations.