The response functions of self-dual Josephson junction arrays near the quantum phase transition

Abstract

The dynamics of a self-dual Josephson junction array near its quantum transition is studied by means of a mutual U(1) × U(1) Chern–Simons Landau–Ginzburg theory. It is shown that disorder scalar fields, which become gapless at the critical point, generate intrinsic dissipation in the system. The electromagnetic response functions of the system and the longitudinal and Hall conductivities are analyzed in different regimes. In the presence of commensurate charge and magnetic frustration, the condensation of bound electric and magnetic disorder fields leads to finite universal longitudinal and transverse resistivities satisfying a relation akin to that found in the QHE in two-dimensional electron systems.