Rigid Chiral Membranes

Details Rigid Chiral Membranes Rigid Chiral Membranes

1992-11-16

arxiv.org/abs/cond-mat/9211008v2

Phys.Rev.Lett.69:3409,1992

Physics

Condensed Matter

11 pages, UPR-518T (This replaced version has fonts not used removed.)

Scientific paper

10.1103/PhysRevLett.69.3409

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 {\it 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 effectively reduce it in the infrared.

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