Theory Colloquia

Experimental Evidence for Duality in Quantum Hall Systems

by Cliff Burgess (McMaster University, Perimeter Institute and CERN-TH)

Europe/Zurich
TH Theory Conference Room (CERN)

TH Theory Conference Room

CERN

Description
Quantum Hall systems are characterized by a spectacular set of observations (universal low-temperature conductivity, critical behaviour and semi-circle laws for transitions between Quantum Hall states) that are more robust than would be expected from the detailed theory of underlying electron dynamics. After providing an introductory summary of these observations, this talk argues that they follow from the assumption that the important charge carriers at the low energies relevant to conductivity measurements are weakly interacting particles or vortices. This implies a large emergent duality symmetry (a level two subgroup of SL(2,Z)), whose presence underlies the robustness of the observations in question. Recent string-inspired developments for 2+1 dimensional conformal field theories appear to provide support for this picture.
Slides
Organised by

Christophe Grojean