Quantization of the Hall Conductance for General, Multiparticle Schrödinger Hamiltonians 论文
1985Physical Review Letters引用 266
Quantum and electron transport phenomenaTopological Materials and PhenomenaQuantum Information and Cryptography
详细信息
- 发表期刊/会议
- Physical Review Letters
- 发表日期
- 1985-01-28
- 发表年份
- 1985
关键词
Quantum and electron transport phenomenaTopological Materials and PhenomenaQuantum Information and Cryptography
摘要
We describe a precise mathematical theory of the Laughlin argument for the quantization of the Hall conductance for general multiparticle Schr\"odinger 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.