Quasiparticle charge and the activated conductance of a quantum Hall liquid

Abstract

We provide a theoretical basis for Clark’s proposal that for quantum Hall liquids at magic filling factors, where the longitudinal conductivity is exponentially activated, ${\mathrm{\sigma }}_{\mathit{x}\mathit{x}}$=${\mathrm{\sigma }}_{\mathit{x}\mathit{x}}^0$ ${\mathit{e}}_{\mathit{B}}^{\mathrm{-}\mathrm{\Delta }/\mathit{k}}$T, the prefactor ${\mathrm{\sigma }}_{\mathit{x}\mathit{x}}^0$ is proportional to the square of the quasiparticle charge. We also propose that the same experiments uncover a remarkable law of corresponding states.