A theoretical researcher whose joint work connected the quantum Hall effect with a topological invariant. For electrons in a two-dimensional periodic potential and magnetic field, the Hall response can be expressed using the structure of occupied quantum states. Its integer character explains how a transport coefficient can remain quantized despite changes in microscopic details.[ref]
Quantized Hall Conductance in a Two-Dimensional Periodic Potential by D. J. Thouless and others. pp. 405–407: Hall-conductance formula and integer invariant
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