Self-Consistent Theory of Polymerized Membranes

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dc.creatorDoussal, Pierre Le
dc.creatorRadzihovsky, Leo
dc.date1992-08-27
dc.date.accessioned2026-07-07T12:33:07Z
dc.date.available2026-07-07T12:33:07Z
dc.descriptionWe study $D$-dimensional polymerized membranes embedded in $d$ dimensions using a self-consistent screening approximation. It is exact for large $d$ to order $1/d$, for any $d$ to order $ε=4-D$ and for $d=D$. For flat physical membranes ($D=2,d=3$) it predicts a roughness exponent $ζ=0.590$. For phantom membranes at the crumpling transition the size exponent is $ν=0.732$. It yields identical lower critical dimension for the flat phase and crumpling transition $D_{lc}(d)={2 d \over {d+1}}$ ($D_{lc}={\sqrt{2}}$ for codimension 1). For physical membranes with ${\it random}$ quenched curvature $ζ=0.775$ in the new $T=0$ flat phase in good agreement with simulations.
dc.description12 pages, Latex, figures available on request, radz@cmts.harvard.edu
dc.identifierhttps://arxiv.org/abs/cond-mat/9208023
dc.identifierhttp://arxiv.org/abs/cond-mat/9208023
dc.identifierPhys.Rev.Lett.69:1209,1992
dc.identifierdoi:10.1103/PhysRevLett.69.1209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217016
dc.subjectCondensed Matter
dc.titleSelf-Consistent Theory of Polymerized Membranes
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