Emergent Geometry of Inhomogeneous Planar Crystals
| Autor: | Leopoldo Raimundo Gomez, William T. M. Irvine, Vishal Soni |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Ciencias Físicas
QC1-999 Physics::Optics General Physics and Astronomy Geometry Conformal map 02 engineering and technology 01 natural sciences Topological defect Topological defects purl.org/becyt/ford/1 [https] Planar Projection (mathematics) Condensed Matter::Superconductivity 0103 physical sciences Curved Crystals External field 010306 general physics Physics purl.org/becyt/ford/1.3 [https] 021001 nanoscience & nanotechnology Homogeneous Inhomogeneous Crystals 0210 nano-technology CIENCIAS NATURALES Y EXACTAS Física de los Materiales Condensados |
| Zdroj: | Physical Review X, Vol 8, Iss 1, p 011039 (2018) CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
| ISSN: | 2160-3308 |
| Popis: | Uniform triangular crystals are the ground state for particles that interact isotropically in two dimensions. However, when immersed in an external potential, for example, one arising from an electric field, a flow field, or gravity, the resulting phases are significantly distorted in a way reminiscent of conformal transformations of planar lattices. We study these "conformal crystals" using colloidal experiments and molecular dynamics simulations. By establishing a projection from these self-assembled inhomogeneous crystals to homogeneous crystals on curved surfaces, we are able to both predict the distribution of defects and establish that defects are an almost inevitable part of the ground state. We determine how the inherent geometry emerges from an interplay between the confining potential and the interparticle interactions. Using molecular dynamics simulations, we demonstrate the generic behavior of this emergent geometry and the resulting defect structures throughout a variety of physical systems. Fil: Soni, Vishal. University of Chicago; Estados Unidos Fil: Gómez, Leopoldo R.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina Fil: Irvine, William T.M.. University of Chicago; Estados Unidos |
| Databáze: | OpenAIRE |
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