Date of this Version
Physical Review Letters
Statistical ensembles of ﬂexible two-dimensional ﬂuid membranes arise naturally in the description of many physical systems. Typically one encounters such systems in a regime of low tension but high stiﬀness against bending, which is just the opposite of the regime described by the Polyakov string. We study a class of couplings between membrane shape and in-plane order which break 3-space parity invariance. Remarkably there is only one
such allowed coupling (up to boundary terms); this term will be present for any lipid bilayer composed of tilted chiral molecules. We calculate the renormalization-group behavior of this relevant coupling in a simpliﬁed model and show how thermal ﬂuctuations eﬀectivelyreduce it in the infrared.
Nelson, P. C., & Powers, T. (1992). Rigid Chiral Membranes. Physical Review Letters, 69 (23), 3409-3412. http://dx.doi.org/10.1103/PhysRevLett.69.3409
Date Posted: 01 May 2017
This document has been peer reviewed.