DIVERGENCE OF THE LOCALIZATION LENGTH IN QUANTUM HALL SYSTEMS
Michael HILKE
TL;DR
This paper investigates the localization length divergence in a disordered 2D electron gas under strong magnetic fields, providing analytical results for the critical exponent and density of states.
Contribution
It presents an analytical derivation of the localization length divergence exponent and density of states in a quantum Hall system with lattice-placed impurities.
Findings
Localization length diverges with exponent 2/3 at lowest Landau level
Density of states is calculated analytically
Impurities are modeled with random amplitudes on a lattice
Abstract
The localization properties of a two-dimensional disordered electron gas in a strong external magnetic field are studied. The impurities are considered to be located on a square lattice with random amplitudes. The concentration of these impurities is low, i.e., the average distance between the impurities exceeds the magnetic length. For short-ranged impurity potentials we analytically obtain an exponent for the divergence of the localization length at the lowest Landau level. The density of states is also calculated.
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.
Taxonomy
TopicsQuantum and electron transport phenomena · Semiconductor Quantum Structures and Devices