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arXiv · 1010.0053

Interfering directed paths and the sign phase transition

Hyungwon Kim·David A. Huse
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Abstract

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 there is no sign phase transition. We investigate this numerically for the case of ß1+1 dimensions, demonstrating the instability of the Ising ordered phase there.

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BibTeXRIS

Hyungwon Kim, David A. Huse. 2010-10-01. Interfering directed paths and the sign phase transition. https://doi.org/10.1103/physrevb.83.052405

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