Nonlinear Transport Near a Quantum Phase Transition in Two Dimensions

Abstract

The problem of non-linear transport near a quantum phase transition is solved within the Landau theory for the dissipative insulator-superconductor phase transition in two dimensions. Using the non-equilibrium Schwinger round-trip Green function formalism, we obtain the scaling function for the non-linear conductivity in the quantum disordered regime. We find that the conductivity scales as $E^2$ at low field but crosses over at large fields to a universal constant on the order of $e^2/h$. The crossover between these two regimes obtains when the length scale for the quantum fluctuations becomes comparable to that of the electric field within logarithmic accuracy.

4.15 pages, no figures

References in corpus (5)

• Continuous Quantum Phase Transitions
• Electric field scaling at a B=0 metal-insulator transition in two dimensions
• Aging dynamics of quantum spin glasses of rotors
• Zero-temperature d-wave superconducting phase transition
• Fluctuation Conductivity in Insulator-Superconductor Transitions with Dissipation

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