A Topological Look at the Quantum Hall Effect

2003/08/01 by J. E. Avron, D. Osadchy, R. Seiler · 4 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Topological Materials and Phenomena

paper · doi:10.1063/1.1611351

openalex publication_date 2003/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/13

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.

Citations

• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Quantal phase factors accompanying adiabatic changes
• On a New Action of the Magnet on Electric Currents

Cited by

• Multiple-path transport in quantum networks
• CODATA recommended values of the fundamental physical constants: 2002
• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Condensed matter physics [wikipedia]