Real Space Renormalization of the Chalker-Coddington Model
Daniel P. Arovas (University of California at San Diego), Martin, Janssen (University of Cologne), Boris Shapiro (Technion at Haifa)
TL;DR
This paper investigates hierarchical network models related to quantum percolation to understand the quantum Hall transition using real space renormalization, revealing the competition between localization mechanisms.
Contribution
It introduces hierarchical network models constructed from quantum resistors and applies real space renormalization to analyze the localization-delocalization transition.
Findings
Transition driven by competition between localization mechanisms
Hierarchical models capture key features of quantum Hall physics
Renormalization approach elucidates phase transition behavior
Abstract
We study a number of hierarchical network models related to the Chalker-Coddington model of quantum percolation. Our aim is to describe the physics of the quantum Hall transition. The hierarchical network models are constructed by combining series and parallel composition of quantum resistors. The localization-delocalization transition occurring in these models is treated by real space renormalization techniques. Essentially, the localization-delocalization transition is due to a competition between two one-dimensional localization mechanisms.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.