Quantum Hall Conductivity and Topological Invariants
Abstract
A short survey of the theory of the Quantum Hall effect is given emphasizing topological aspects of the quantization of the conductivity and showing how topological invariants can be derived from the hamiltonian. We express these invariants in terms of Chern numbers and show in precise mathematical terms how this relates to the Kubo formula.
- Publication:
-
Geometric Methods for Quantum Field Theory
- Pub Date:
- April 2001
- DOI:
- Bibcode:
- 2001gmqf.conf..498R