Mosaic two-lengthscale quasicrystals

被引:182
作者
Dotera, T. [1 ]
Oshiro, T. [1 ]
Ziherl, P. [2 ,3 ]
机构
[1] Kinki Univ, Dept Phys, Higashiosaka, Osaka 5778502, Japan
[2] Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, Slovenia
[3] Jozef Stefan Inst, SI-1000 Ljubljana, Slovenia
基金
日本学术振兴会;
关键词
PHASES; 12-FOLD; MODEL;
D O I
10.1038/nature12938
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Over the past decade, quasicrystalline order(1) has been observed in many soft-matter systems: in dendritic micelles(2), in star(3) and tetrablock(4) terpolymer melts and in diblock copolymer(5) and surfactant micelles(6). The formation of quasicrystals(7-9) from such a broad range of 'soft' macromolecular micelles suggests that they assemble by a generic mechanism rather than being dependent on the specific chemistry of each system. Indeed, micellar softness has been postulated(7) and shown to lead to quasicrystalline order(10). Here we theoretically explore this link by studying two-dimensional hard disks decorated with step-like square-shoulder repulsion that mimics, for example, the soft alkyl shell around the aromatic core in dendritic micelles(2). We find a family of quasicrystals with 10-, 12-, 18- and 24-fold bond orientational order which originate from mosaics of equilateral and isosceles triangles formed by particles arranged core-to-core and shoulder-to-shoulder. The pair interaction responsible for these phases highlights the role of local packing geometry in generating quasicrystallinity in soft matter, complementing the principles that lead to quasicrystal formation in hard tetrahedra(11,12). Based on simple interparticle potentials, quasicrystalline mosaics may well find use in diverse applications ranging from improved image reproduction(13) to advanced photonic materials(14).
引用
收藏
页码:208 / 211
页数:4
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