685 citations · 3.5k across the 67 of their papers we have counts for
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hep-th1998
The Modular and Renormalisation Groups in the Quantum Hall Effect
Brian P. Dolan
An analytic form for the crossover of the conductivity tensor between two Hall plateaux, as a function of the external magnetic field, is proposed. The form of the crossover is obt…
cond-mat.mes-hall1998★ 41 cited
Modular invariance, universality and crossover in the quantum Hall effect
Brian P. Dolan
An analytic form for the conductivity tensor in crossover between two quantum Hall plateaux is derived, which appears to be in good agreement with existing experimental data. The d…
cond-mat.mes-hall1998★ 30 cited
Duality and the Modular Group in the Quantum Hall Effect
Brian P. Dolan
We explore the consequences of introducing a complex conductivity into the quantum Hall effect. This leads naturally to an action of the modular group on the upper-half complex con…