Incommensurate Phase on a Disordered Surface: Instability Against the Formation of Overhangs and Finite Loops

Details Incommensurate Phase on a Disordered Surface: Instability Against the Formation of Overhangs and Finite Loops Incommensurate Phase on a Disordered Surface: Instability Against the Formation of Overhangs and Finite Loops

1994-03-03

arxiv.org/abs/cond-mat/9403014v1

Physics

Condensed Matter

10 pages, RevTex 3.0, 1 figure (postscript)

Scientific paper

10.1103/PhysRevE.51.3359

The stability of the quenched incommensurate phase in two dimensions against the creation of overhangs and finite loops (OH/FL) in the replica space is investigated for a model of domain walls with $N$ colors. Introducing a chemical potential $\epsilon$ for OH/FL, the probability for the formation of these objects is studied for $\epsilon\to0$. In the pure limit this probability vanishes with $\sqrt{\epsilon}$, whereas the fluctuations of this probability are long-range correlated in the quenched system. This indicates an instability related to the symmetry in replica space. It is accompanied by the creation of a massless boson. The latter leads to a power law decay with exponent $\propto 1/N$ for the product of the correlation functions along the domain walls.

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