A Topological Look at the Quantum Hall Effect
Abstract
The amazingly precise quantization of Hall conductance in a two-dimensional electron gas can be understood in terms of a topological invariant known as the Chern number.
- Publication:
-
Physics Today
- Pub Date:
- August 2003
- DOI:
- 10.1063/1.1611351
- Bibcode:
- 2003PhT....56h..38A
- Keywords:
-
- quantum Hall effect;
- Hall mobility;
- quantisation (quantum theory);
- two-dimensional electron gas;
- constants;
- topology;
- Berry phase;
- wave functions;
- electric current;
- modelling;
- frustration