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https://doi.org/10.1103/physreve.110.054501
Copy DOIJournal: Physical review. E | Publication Date: Nov 5, 2024 |
We investigate the effects of quenched elastic disorder on the nature of the crumpling-to-flat transition of D-dimensional polymerized membranes using a two-loop computation near the upper critical dimension D_{c}=4. While the pure system undergoes fluctuation-induced first-order transitions below D_{c} and for an embedding dimension d<d_{c,pure}≃218.2, one observes, in thepresence of disorder, the emergence of various regions of second order governed by a disordered stable fixed point for d<d_{c1}∼d_{c,pure}. This opens the possibility of a new universality class associated with the crumpling-to-flat transition of disordered membranes in d=3.
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