David Thouless Created 2026-10-24 Updated 2026-11-05
David Thouless coauthored a theory connecting the Hall conductivity of a two-dimensional electron gas to a topological invariant. In a uniform magnetic field and periodic potential, the Kubo formula can be written so that quantization becomes explicit when the Fermi energy lies in a gap. The integer character of the response explains why continuous changes of microscopic parameters need not continuously change the Hall plateau. A transition between distinct plateaus requires leaving the conditions that protect that quantization.[ref]
A physicist who researched superfluidity and superconductivity in thin systems.[ref]