论文标题

蜂窝分层氧化物的进步:第二部分 - 蜂窝状氧化物具有优化阳离子的蜂窝状氧化物的理论进步

Advances in honeycomb layered oxides: Part II -- Theoretical advances in the characterisation of honeycomb layered oxides with optimised lattices of cations

论文作者

Kanyolo, Godwill Mbiti, Masese, Titus

论文摘要

对阳离子扩散的成功凝结物质理论的追求,其轨迹仅限于蜂窝/六角形模式在蜂窝分层材料中普遍存在,此处讨论的最新进展侧重于该理论的对称性,拓扑方面和相位过渡描述。预计,由于蜂窝分层材料中晶格中扩散的阳离子的动力学性质,这种理论被定性和定量上都与静态碳晶格的2D电子理论有所不同。本文中,我们关注的是在基于pnictogen和chalcogen的蜂窝分层氧化物表征的最新理论进步,重点是阳离子的六边形/蜂窝晶格。特别是,我们讨论了liouville共形场理论与预期的实验结果之间的联系,以表征蜂窝/六角形晶格在一致的球体包装问题中的最佳性质。扩散和拓扑方面由理想化的模型捕获,该模型成功地结合了阳离子理论及其空缺之间的双重性。此外,相当有趣的实验结果是,一系列基于银的分层材料形成稳定的Ag双层,每个材料都包含一对三角形子层,这表明对Ag三角形子层的分叉机制,最终需要在理想的模型中逐渐跨度的杂种型促成cation-Bililayerarayerarayerarayerarayerareareareareareareareareareareareareareareareareareareareareareareare均需要进行整体对称性。对于完整性,还使用了适用于蜂窝分层材料表征的其他相关实验,理论和计算技术。

The quest for a successful condensed matter theory that incorporates diffusion of cations, whose trajectories are restricted to a honeycomb/hexagonal pattern prevalent in honeycomb layered materials is ongoing, with the recent progress discussed herein focusing on symmetries, topological aspects and phase transition descriptions of the theory. Such a theory is expected to differ both qualitatively and quantitatively from 2D electron theory on static carbon lattices, by virtue of the dynamical nature of diffusing cations within lattices in honeycomb layered materials. Herein, we have focused on recent theoretical progress in the characterisation of pnictogen- and chalcogen-based honeycomb layered oxides with emphasis on hexagonal/honeycomb lattices of cations. Particularly, we discuss the link between Liouville conformal field theory to expected experimental results characterising the optimal nature of the honeycomb/hexagonal lattices in congruent sphere packing problems. The diffusion and topological aspects are captured by an idealised model, which successfully incorporates the duality between the theory of cations and their vacancies. Moreover, the rather intriguing experimental result that a wide class of silver-based layered materials form stable Ag bilayers, each comprising a pair of triangular sub-lattices, suggests a bifurcation mechanism for the Ag triangular sub-lattices, which ultimately requires conformal symmetry breaking within the context of the idealised model, resulting in a cation monolayer-bilayer phase transition. Other relevant experimental, theoretical and computational techniques applicable to the characterisation of honeycomb layered materials have been availed for completeness.

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