Finite-temperature transport of a pinned 2D electron lattice

We argue that for a pinned 2D electron lattice in a magnetic field thermally activated bound dislocation pairs contribute to the conductivity from which an activation energy ${\mathit{E}}_{\mathit{d}\mathit{p}}$ can be deduced. Near the melting point, this activation energy ${\mathit{E}}_{\mathit{d}\mathit{p}}$ approaches zero as ${\mathit{E}}_{\mathit{d}\mathit{p}}$=${\mathit{E}}_0$(1-ν/${\nu }_0$), where ν is the filling factor. We calculate ${\mathit{E}}_0$ from the change in the zero-point energy of the phonons as a dislocation pair is created and find agreement to within 30% with the experimental result of Willet et al.