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

Abstract

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.

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

References in corpus (2)

• Scaling and Crossover Functions for the Conductance in the Directed Network Model of Edge States
• Mesoscopic conductance and its fluctuations at non-zero Hall angle

Cited by in corpus (14)

• The spin quantum Hall effect in unconventional superconductors
• Random Network Models and Quantum Phase Transitions in Two Dimensions
• Point-Contact Conductances at the Quantum Hall Transition
• Spin-directed network model for the surface states of weak three-dimensional ${\mathbb{Z}}_2^{}$ topological insulators
• Feynman's Propagator Applied to Network Models of Localization
• The transverse magnetoresistance of the two-dimensional chiral metal
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Dynamics and Critical Behaviour of the q-model
• The effects of interactions and disorder in the two-dimensional chiral metal
• Quantum Hall Effect in Three Dimensional Layered Systems
• Quantum mechanics with a time-dependent random unitary Hamiltonian: A perturbative study of the nonlinear Keldysh sigma-model
• Dyson-Maleev representation of nonlinear sigma-models
• Thouless conductances of a three-dimensional quantum Hall system
• Effect of surface disorder on the chiral surface states of a three-dimensional quantum Hall system