Interfering directed paths and the sign phase transition

@article{Kim2011InterferingDP,
title={Interfering directed paths and the sign phase transition},
author={Hyungwon Kim and David A. Huse},
journal={Physical Review B},
year={2011},
volume={83},
pages={052405}
}

We revisit the question of the "sign phase transition" for interfering directed paths with real amplitudes in a random medium. The sign of the total amplitude of the paths to a given point may be viewed as an Ising order parameter, so we suggest that a coarse-grained theory for system is a dynamic Ising model coupled to a Kardar-Parisi-Zhang (KPZ) model. It appears that when the KPZ model is in its strong-coupling ("pinned") phase, the Ising model does not have a stable ferromagnetic phase, so… Expand

We investigate the statistical properties of interfering directed paths in disordered media. At long distance, the average sign of the sum over paths may tend to zero (sign-disordered) or remain… Expand

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