1983/07/04 by J. E. Avron, R. Seiler, Barry Simon · 7 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Topological Materials and Phenomena #Quantum many-body systems
paper · doi:10.1103/physrevlett.51.51
openalex publication_date 1983/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
It is shown that the integers found by Thouless et al. in the quantized Hall effect are the only quantized quantities associated with the energy bands. It is also proved that if two bands touch and then come apart as a parameter is varied, then their individual integers (conductances) may not be preserved but their sum is preserved.