Ground States of Crystalline Caps: Generalized Jellium on Curved Space
Ground States of Crystalline Caps: Generalized Jellium on Curved Space
复制标题
晶体帽的基态：弯曲空间上的广义 Jellium
DOI：
10.1103/physrevlett.123.145501
复制
发表时间：
2019
影响因子：
8.6
通讯作者：
Grason, Gregory M.
中科院分区：
文献类型：
--
作者：
Li, Siyu;Zandi, Roya;Travesset, Alex;Grason, Gregory M.
我们研究球面上晶体的基态。这些基态由结构中的正向错缺陷组成，从平坦和弱弯曲的帽到封闭的壳。比较两种连续介质理论和一种离散晶格模拟，我们首先研究无缺陷帽到单向错基态之间的转变，并证明它是连续且对称破缺的。此外，我们表明基态在整个曲率范围内采用二十面体子群对称性，甚至远离完整壳的闭合。虽然表面上与其他二维“果冻”模型（例如超导盘和二维维格纳晶体）相似，但帽的自由边缘与其嵌入的非欧几里得几何形状之间的相互作用导致了平面果冻模型中没有对应物的非平凡基态行为。
We study the ground states of crystals on spherical surfaces. These ground states consist of positive disclination defects in structures spanning from flat and weakly curved caps to closed shells. Comparing two continuum theories and one discrete-lattice simulation, we first investigate the transition between defect-free caps to single-disclination ground states and show it to be continuous and symmetry breaking. Further, we show that ground states adopt icosahedral subgroup symmetries across the full range of curvatures, even far from the closure of complete shells. While superficially similar to other models of 2D “jellium” (e.g., superconducting disks and 2D Wigner crystals), the interplay between the free edge of caps and the non-Euclidean geometry of its embedding leads to nontrivial ground state behavior that is without counterpart in planar jellium models.