Point-Contact Conductance in Asymmetric Chalker-Coddington Network Model

Abstract

We study the transport properties of disordered two-dimensional electron systems with a perfectly conducting channel. We introduce an asymmetric Chalker-Coddington network model and numerically investigate the point-contact conductance. We find that the behavior of the conductance in this model is completely different from that in the symmetric model. Even in the limit of a large distance between the contacts, we find a broad distribution of conductance and a non-trivial power law dependence of the averaged conductance on the system width. Our results are applicable to systems such as zigzag graphene nano-ribbons where the numbers of left-going and right-going channels are different.

6 pages, 11 figures, final version

References in corpus (12)

• Anderson Transitions
• Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
• Random Network Models and Quantum Phase Transitions in Two Dimensions
• Multifractality at the quantum Hall transition: Beyond the parabolic paradigm
• Point-Contact Conductances at the Quantum Hall Transition
• Boundary multifractality at the integer quantum Hall plateau transition: implications for the critical theory
• Topology dependent quantities at the Anderson transition
• Multifractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class
• Conductance of Disordered Wires with Symplectic Symmetry: Comparison between Odd- and Even-Channel Cases
• Point-Contact Conductances from Density Correlations
• Chalker-Coddington model described by an S-matrix with odd dimensions
• Universal Transport Properties of Disordered Quantum Wires

Cited by in corpus (5)

• Transmission through a boundary between monolayer and bilayer graphene
• Conductance distributions in disordered quantum spin-Hall systems
• Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels
• Anomalous Enhancement of the Boltzmann Conductivity in Disordered Zigzag Graphene Nanoribbons
• Nonuniversal Shot Noise in Disordered Quantum Wires with Channel-Number Imbalance