Abstract
We describe a precise mathematical theory of the Laughlin argument for the quantization of the Hall conductance for general multiparticle Schrödinger operators with general background potentials. The quantization is a consequence of the geometric content of the conductance, namely, that it can be identified with an integral over the first Chern class. This generalizes ideas of Thouless et al., for noninteracting Bloch Hamiltonians to general (interacting and nonperiodic) ones.
- Received 15 October 1984
DOI:https://doi.org/10.1103/PhysRevLett.54.259
©1985 American Physical Society