Glass of DPRMs

 DPRM glass: A finite density of non-crossing DPRMs (vortex glass of 2D superconductors in a magnetic field)

 In the absence of disorder, this is a well-known (de Gennes, Pokrovsky-Talapov) free-fermion problem, and

(interpreted as entropic repulsion)

 Exact solution (in the continuum limit) by Replica Bethe Ansatz M. Kardar, Nuclear Physics B290, 582 (1987):

 Scaling of fluctuations studied in  T. Emig and M. Kardar, Phys. Rev. Lett. 85, 2176 (2000):    

(can be interpreted as energetic loss)

 Can we test these results for small m?

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