Dynamical Group for the Quantum Hall Effect
Allan I. Solomon, Joseph L. Birman
TL;DR
This paper introduces a dynamical group framework to analyze the Quantum Hall Effect, providing a new approach to describe Landau levels and calculate the Hall current.
Contribution
It develops a novel dynamical group method specifically for the single-particle Quantum Hall Effect, enhancing theoretical understanding.
Findings
Dynamical group successfully describes Landau levels.
Method determines the transverse (Hall) current.
Provides a new mathematical framework for quantum Hall systems.
Abstract
A dynamical group for the single-particle (non-interacting) Quantum Hall Effect is found, and used to describe the Landau levels and determine the transverse (Hall) current.
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 · Graphene research and applications · Quantum and Classical Electrodynamics