Fixed point strong disorder

Unlike the strong disorder phase at d=l, the absence of any fixed point for the strong disorder phase for d > 2 in this approach forbids quantitative results about the phase itself. In addition, the behaviour of the strong disorder phase in d = 1 can be obtained by various methods. Unfortunately, there are few concrete results in higher dimensions d > 2. Most reliable values of the exponents come from various numerical approaches based on the KPZ equation. A recent estimate for d = 2 is [17]... 

In Ref. [39] it was argued that while the upper critical dimension for the problem of polj niers in disorder may be larger than dc = 4 one may analytically continue the e-expansion from d = 4 — ctoa4 + e-expansion. For the fixed points this has a dramatic effect (see Fig.3b). In the 4 + e case the unphysical fixed point (U) is mapped to U in the physical region. It is interpreted by these authors as a strong disorder fixed point. Also... 

G. Schehr and H. Rieger, Phys. Rev. Lett., 96, 227201 (2006). Strong-Disorder Fixed Point in... 

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