2018
DOI: 10.1016/j.aop.2017.08.033
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Anomalous elasticity, fluctuations and disorder in elastic membranes

Abstract: Motivated by freely suspended graphene and polymerized membranes in soft and biological matter we present a detailed study of a tensionless elastic sheet in the presence of thermal fluctuations and quenched disorder. The manuscript is based on an extensive draft dating back to 1993, that was circulated privately. It presents the general theoretical framework and calculational details of numerous results, partial forms of which have been published in brief Letters [1,2]. The experimental realization atom-thin g… Show more

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Cited by 89 publications
(165 citation statements)
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References 91 publications
(267 reference statements)
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“…There are two important features of the SCSA approach that should be underlined. First, the solution with a vanishing bare modulus b = 0, thus corresponding to the fixed point P 3 , leads to a vanishing long-distance effective modulus b(q) = 0 [34], in agreement with our results b * 3 = 0. Second, under the conditions fulfilled to reach the scaling behaviour associated with the fixed point P 4 , one observes the asymptotic infrared behaviour [33,34]:…”
Section: Comparison With Previous Approachessupporting
confidence: 91%
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“…There are two important features of the SCSA approach that should be underlined. First, the solution with a vanishing bare modulus b = 0, thus corresponding to the fixed point P 3 , leads to a vanishing long-distance effective modulus b(q) = 0 [34], in agreement with our results b * 3 = 0. Second, under the conditions fulfilled to reach the scaling behaviour associated with the fixed point P 4 , one observes the asymptotic infrared behaviour [33,34]:…”
Section: Comparison With Previous Approachessupporting
confidence: 91%
“…We finally recall that, in D = 2, one gets, at leading order, η D=2,l SCSA = 0.821 [33,34] and, at next-to-leading order, η D=2,nl SCSA = 0.789 [41] which is inside the range of values given above and close to some of the most recent results obtained by means of numerical computations (see, e.g., [62] that provides η 0.79.). NPRG.…”
Section: Comparison With Previous Approachessupporting
confidence: 87%
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