title: Wrinkles and splay conspire to give positive disclinations negative curvature.
abstract: Recently, there has been renewed interest in the coupling between geometry and topological defects in crystalline and striped systems. Standard lore dictates that positive disclinations are associated with positive Gaussian curvature, whereas negative disclinations give rise to negative curvature. Here, we present a diblock copolymer system exhibiting a striped columnar phase that preferentially forms wrinkles perpendicular to the underlying stripes. In free-standing films this wrinkling behavior induces negative Gaussian curvature to form in the vicinity of positive disclinations.
authors.affiliation: Princeton Center for Theoretical Science, Princeton University, Princeton, NJ 08544; John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138; sabetta.matsumoto@gmail.com dvega@criba.edu.ar.
authors.forename: Elisabetta A
authors.initials: EA
authors.lastname: Matsumoto
authors.affiliation: Instituto de Física del Sur, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional del Sur, 8000 Bahía Blanca, Argentina; sabetta.matsumoto@gmail.com dvega@criba.edu.ar.
authors.forename: Daniel A
authors.initials: DA
authors.lastname: Vega
authors.affiliation: Instituto de Física del Sur, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional del Sur, 8000 Bahía Blanca, Argentina;
authors.forename: Aldo D
authors.initials: AD
authors.lastname: Pezzutti
authors.affiliation: Instituto de Física del Sur, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional del Sur, 8000 Bahía Blanca, Argentina;
authors.forename: Nicolás A
authors.initials: NA
authors.lastname: García
authors.affiliation: Center for Soft Condensed Matter Research and Department of Physics, New York University, New York, NY 10003;
authors.forename: Paul M
authors.initials: PM
authors.lastname: Chaikin
authors.affiliation: Department of Chemical and Biological Engineering and Princeton Institute for the Science and Technology of Materials, Princeton University, Princeton, NJ 08544.
authors.forename: Richard A
authors.initials: RA
authors.lastname: Register
keywords: diblock copolymer; disclinations and curvature; free-standing membrane; smectic; wrinkling instability