Resistivity scaling and critical dynamics of fully frustrated Josephson-junction arrays with on-site dissipation

TL;DR

This paper investigates the resistive transition and critical dynamics in fully frustrated Josephson-junction arrays with on-site dissipation, revealing a single transition with distinct dynamic exponents for phase and chiral order.

Contribution

It introduces a numerical simulation of an on-site dissipation model and compares it with the resistively-shunted-junction model, confirming a unified transition scenario.

Findings

Resistivity scaling aligns with a single critical temperature.

Phase and chiral variables order simultaneously but with different dynamic exponents.

Results support the single transition scenario in fully frustrated arrays.

Abstract

We study the scaling behavior and critical dynamics of the resistive transition in Josephson-junction arrays, at f=1/2 flux quantum per plaquette, by numerical simulation of an on-site dissipation model for the dynamics. The results are compared with recent simulations using the resistively-shunted-junction model. For both models, we find that the resistivity scaling and critical dynamics of the phases are well described by the same critical temperature as for the chiral (vortex-lattice) transition, with a power-law divergent correlation length. The behavior is consistent with the single transition scenario, where phase and chiral variables order at the same temperature, but with different dynamic exponents z for phase coherence and chiral order.