Criticality in the Integer Quantum Hall Effect
Alex Hansen, E.H. Hauge, Joakim Hove, Frank A. Maao
TL;DR
This paper reviews the critical properties of the integer quantum Hall effect, emphasizing the role of numerical models and network models in understanding the metal-insulator transitions.
Contribution
It provides a review of elementary aspects and network models that capture the critical phenomena in the integer quantum Hall effect.
Findings
Numerical work is crucial in understanding the quantum Hall transitions.
Network models effectively describe the critical behavior.
The paper summarizes key features of metal-insulator transitions.
Abstract
We review some elementary aspects of the critical properties of the series of metal-insulator transitions that constitute the integer quantum Hall effect. Numerical work has proven essential in charting out this phenomenon. Without being complete, we review network models that seem to capture the essentials of this critical phenomenon.
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