Conductance and its universal fluctuations in the directed network model at the crossover to the quasi-one-dimensional regime

Details Conductance and its universal fluctuations in the directed network model at the crossover to the quasi-one-dimensional regime Conductance and its universal fluctuations in the directed network model at the crossover to the quasi-one-dimensional regime

1997-04-03

arxiv.org/abs/cond-mat/9704032v3

Phys. Rev. B 56, 13218 (1997).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, REVTeX, uses epsf, 2 .eps figures included. Newly written Introduction and small changes to other sections

Scientific paper

10.1103/PhysRevB.56.13218

The directed network model describing chiral edge states on the surface of a cylindrical 3D quantum Hall system is known to map to a one-dimensional quantum ferromagnetic spin chain. Using the spin wave expansion for this chain, we determine the universal functions for the crossovers between the 2D chiral metallic and 1D metallic regimes in the mean and variance of the conductance along the cylinder, to first nontrivial order.

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