Soft Skyrmions, Spontaneous Valence and Selection Rules in Nanoparticle Superlattices

ACS Nano
A Travesset

Abstract

A number of bewildering paradoxes arise in the field of nanoparticle self-assembly: nominal low density superlattices, strong stability of low coordination sites, and a clear but imperfect correlation between lattice stability and the maximum of hard sphere packing, despite the fact that that nanocrystals themselves are, through their ligands, very much compressible. In this study, I show that by regarding nanocrystals as pseudotopological objects ("soft skyrmions"), it is possible to identify and classify the ligand textures that determine their bonding. These textures consist of interacting vortices, where the total vorticity defines a spontaneous valence (coordination). Furthermore, skyrmion interactions are governed by two simple assumptions, which lead to a set of selection rules for superlattice structure. Besides resolving all the above paradoxes, the predictions are completely supported by more than one hundred sixty experiments gathered from the literature, including a wide range of nanocrystal cores and ligands (saturated or unsaturated hydrocarbons, amines, polystyrene, etc.). How those results can be used for addressing more complex structures and guiding future experiments is also addressed.

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Citations

Nov 28, 2017·The European Physical Journal. E, Soft Matter·Brigitte Pansu, Jean-François Sadoc
Nov 14, 2019·Soft Matter·Nathan HorstAlex Travesset
Dec 11, 2019·Soft Matter·Peter YatsyshinPanagiotis E Theodorakis
Feb 1, 2018·Proceedings of the National Academy of Sciences of the United States of America·Rose K CersonskySharon C Glotzer
Sep 28, 2017·Physical Review Letters·Alex Travesset
Oct 8, 2019·Nanoscale·Tommy Waltmannn, Alex Travesset
May 23, 2019·Science Advances·Fang LuOleg Gang
Jul 1, 2020·Proceedings of the National Academy of Sciences of the United States of America·Rachael N Kress, Matthew R Jones
Jan 23, 2021·The Journal of Chemical Physics·Xun Zha, Alex Travesset
Dec 3, 2020·The Journal of Chemical Physics·Matthew Pham, Alex Travesset
May 28, 2021·Nature·Ihor CherniukhMaksym V Kovalenko
Aug 10, 2021·Langmuir : the ACS Journal of Surfaces and Colloids·Hyeong Jin KimDavid Vaknin
Jun 16, 2018·Journal of the American Chemical Society·Tommy WaltmannAlex Travesset
Jul 11, 2018·Journal of the American Chemical Society·Peng-Peng WangMin Ouyang
Aug 30, 2019·Journal of the American Chemical Society·Peter J SantosRobert J Macfarlane
Mar 15, 2019·Journal of the American Chemical Society·Igor CoropceanuDmitri V Talapin
May 31, 2019·Nano Letters·Sergio MazzottiGiulia Galli
Oct 4, 2019·The Journal of Physical Chemistry Letters·Irina LoktevaFelix Lehmkühler
Oct 28, 2017·ACS Nano·Curt WaltmannAlex Travesset
Jun 18, 2020·ACS Applied Materials & Interfaces·Biplab K PatraErik C Garnett
Apr 15, 2020·ACS Nano·Leandro L Missoni, Mario Tagliazucchi
Nov 7, 2019·ACS Nano·R Allen LaCourSharon C Glotzer
Sep 3, 2021·Nanoscale·Leandro Missoni, Mario Tagliazucchi
Sep 23, 2021·Journal of the American Chemical Society·Yang LiuXingchen Ye

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