Bertrand Halperin Created 2026-10-24 Updated 2026-11-05
Bertrand Halperin explained the role of conducting edge states in the quantum Hall effect. A two-dimensional sample can have localized states in its interior while current-carrying states extend along its boundary. The resulting picture connects an integer Hall response with the way electronic states traverse the sample, rather than relying only on a bulk transport formula. It clarifies why disorder and localization do not automatically destroy a quantized plateau.[ref]
Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential by B. I. Halperin. Physical Review B 25, 2185 (1982), edge states and disordered two-dimensional system
Portrait of Bertrand Halperin
. Betsy Devine. CC BY-SA 3.0, via Wikimedia Commons. Source.
Quantum Hall edge state 2026-10-18
A quantum Hall edge state is confined across a boundary but can extend along it and carry electric current. B. I. Halperin related these current-carrying boundary states to quantized Hall transport in a disordered two-dimensional system.[ref]
Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential by B. I. Halperin. Publisher abstract: transverse confinement, perimeter extension and current