Theoretical Condensed Matter Physics

将研究凝聚态复杂相中的几个主题。二十面体准晶体的发现所需要的经典晶体学的修正将得到扩展和完成，同时努力扩展二维和三维平铺理论，为新的非晶体空间群提供模板。本文将基于无限手性极限的精确解，探索一种新的计算手性向列的平衡蓝相的数值方法，直至手性的物理值。

Several topics in complex phases of condensed matter will be studied. The revision of classical crystallography necessitated by the discovery of icosahedral quasicrystals will be extended and completed, in parallel with efforts to extend two- and three- dimensional tiling theory to provide templates for the new non- crystallographic space groups. A new numerical approach to the computation of the equilibrium blue phases of chiral nematics will be explored, based on the exact solutions of the infinite chirality limit down to physical values of the chirality.