109 citations · 203 across the 6 of their papers we have counts for
6 papers
Fracture in Sheets Draped on Curved Surfaces
Noah P. Mitchell, Vinzenz Koning, Vincenzo Vitelli +1
Conforming materials to rigid substrates with Gaussian curvature --- positive for spheres and negative for saddles --- has proven a versatile tool to guide the self-assembly of def…
Spherical nematics with a threefold valence
Vinzenz Koning, Teresa Lopez-Leon, Alexandre Darmon +2
We present a theoretical study of the energetics of thin nematic shells with two charge one-half defects and one charge-one defect. We determine the optimal arrangement: the defect…
Crystals and liquid crystals confined to curved geometries
Vinzenz Koning, Vincenzo Vitelli
This review introduces the elasticity theory of two-dimensional crystals and nematic liquid crystals on curved surfaces, the energetics of topological defects (disclinations, dislo…
Saddle-splay screening and chiral symmetry breaking in toroidal nematics
Vinzenz Koning, Benjamin C. van Zuiden, Randall D. Kamien +1
We present a theoretical study of director fields in toroidal geometries with degenerate planar boundary conditions. We find spontaneous chirality: despite the achiral nature of ne…
Stable nematic droplets with handles
E. Pairam, J. Vallamkondu, V. Koning +5
We stabilize nematic droplets with handles against surface-tension-driven instabilities using a yield-stress material as outer fluid and study the complex nematic textures and defe…
Bivalent defect configurations in inhomogeneous nematic shells
V. Koning, T. Lopez-Leon, A. Fernandez-Nieves +1
We present a theoretical study of the director fields and energetics of nematic liquid crystal shells with two pairs of surface defects. The pairs of defects can undergo abrupt tra…