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Autori principali: Löffler, Robert, Siedentop, Lukas, Keim, Peter
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2411.06464
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author Löffler, Robert
Siedentop, Lukas
Keim, Peter
author_facet Löffler, Robert
Siedentop, Lukas
Keim, Peter
contents Melting in 2D is described by the celebrated Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory. The unbinding of two different types of topological defects destroys translational and orientational order at different temperatures. The intermediate phase is called hexatic and has been measured in 2D colloidal monolayers of isotropic particles. The hexatic is a fluid with six-fold quasi-long-ranged orientational order. Here, the melting of a quadratic, 4-fold crystal is investigated, consisting of squares of about $4 \times 4\;μ\mathrm{m}$. The anisotropic particles are manufactured from a photoresist using a 3D nanoprinter. In aqueous solution, particles sediment by gravity to a thin cover slide where they form a monolayer. The curvature of the cover slide can be adjusted from convex to concave, which allows to vary the area density of the monolayer in the field of view. For low densities, the squares are free to diffuse and form a 2D fluid while for high densities they form a quadratic crystal. Using a four-fold bond-order correlation function, we resolve the tetratic phase with quasi long ranged orientational order.
format Preprint
id arxiv_https___arxiv_org_abs_2411_06464
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Tetratic Phase in 2D Crystals of Squares
Löffler, Robert
Siedentop, Lukas
Keim, Peter
Soft Condensed Matter
Melting in 2D is described by the celebrated Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory. The unbinding of two different types of topological defects destroys translational and orientational order at different temperatures. The intermediate phase is called hexatic and has been measured in 2D colloidal monolayers of isotropic particles. The hexatic is a fluid with six-fold quasi-long-ranged orientational order. Here, the melting of a quadratic, 4-fold crystal is investigated, consisting of squares of about $4 \times 4\;μ\mathrm{m}$. The anisotropic particles are manufactured from a photoresist using a 3D nanoprinter. In aqueous solution, particles sediment by gravity to a thin cover slide where they form a monolayer. The curvature of the cover slide can be adjusted from convex to concave, which allows to vary the area density of the monolayer in the field of view. For low densities, the squares are free to diffuse and form a 2D fluid while for high densities they form a quadratic crystal. Using a four-fold bond-order correlation function, we resolve the tetratic phase with quasi long ranged orientational order.
title Tetratic Phase in 2D Crystals of Squares
topic Soft Condensed Matter
url https://arxiv.org/abs/2411.06464