Curvature disorder in tethered membranes: A new flat phase at T=0

David C. Morse, T. C. Lubensky

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Abstract

We study the effect of quenched disorder on the behavior of tethered membranes. We consider D-dimensional membranes in a d-dimensional embedding space using expansions in ε=4-D and 1/d. Disorder is introduced via a random spontaneous curvature, such as would be caused by impurities that break the symmetry between the sides of the membrane, and via a random preferred metric. The presence of random spontaneous curvature is found to stiffen the long-wavelength bending rigidity, giving rise at temperature T=0 to a disordered flat phase associated with a new fixed point of the renormalization group. This phase is characterized by anomalous statistical and elastic properties similar to those found previously for pure membranes at T0, but due here to quenched disorder rather than thermal fluctuations.

Original languageEnglish (US)
Pages (from-to)1751-1768
Number of pages18
JournalPhysical Review A
Volume46
Issue number4
DOIs
StatePublished - 1992
Externally publishedYes

Bibliographical note

Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

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