Year: 2024
Type: article
Abstract: 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 $d<{d}_{c,\mathrm{pure}}\ensuremath{\simeq}218.2$, one observes, in the presence of disorder, the emergence of various regions of second order governed by a disordered stable fixed point for $d<{d}_{c1}\ensuremath{\sim}{d}_{c,\mathrm{pure}}$. This opens the possibility of a new universality class associated with the crumpling-to-flat transition of disordered membranes in $d=3$.
Source: Physical review. E
Authors: L. Delzescaux, D. Mouhanna, M. Tissier
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404061244