First-Principles Study of Integer Quantum Hall Transitions in Mesoscopic Samples
arXiv:cond-mat/0311365 · doi:10.1209/epl/i2004-10398-7
Abstract
We perform first principles numerical simulations to investigate resistance fluctuations in mesoscopic samples, near the transition between consecutive Quantum Hall plateaus. We use six-terminal geometry and sample sizes similar to those of real devices. The Hall and longitudinal resistances extracted from the generalized Landauer formula reproduce all the experimental features uncovered recently. We then use a simple generalization of the Landauer-Büttiker model, based on the interplay between tunneling and chiral currents -- the co-existing mechanisms for transport -- to explain the three distinct types of fluctuations observed, and identify the central region as the critical region.
changes to acknowledgements only
References in corpus (7)
- A different view of the quantum Hall plateau-to-plateau transitions
- Quantum Hall fluctuations and evidence for charging in the quantum Hall effect
- Conductance fluctuations at the integer quantum Hall plateau transition
- Near-Perfect Correlation of the Resistance Components of Mesoscopic Samples at the Quantum Hall Regime
- The quantized Hall effect in the presence of resistance fluctuations
- Symmetries of the Resistance of Mesoscopic Samples in the Quantum Hall Regime
- The longitudinal conductance of mesoscopic Hall samples with arbitrary disorder and periodic modulations