Aspects geometric and random frustration in magnetic

在凝聚态物理中，当一个系统不能通过使相互独立的每一对相互作用的自由度的能量最小化而使其总能量最小化时，就会出现挫折。均匀和随机受挫系统在凝聚态物理中普遍存在。例子从磁性和超导系统，到生物膜和蛋白质。几何挫折纯粹来自所考虑的系统所施加的几何约束。随机挫败感来自于任何真实材料中始终存在的冻结（淬灭）随机无序，它会产生随机竞争或“随机挫败”互动。因为几何和随机挫折是如此普遍，重要的是要理解在理论基础上，他们在实际材料的影响。这是本研究计划的重点。例如，在这个研究项目中需要解决的问题包括：

Frustration in condensed matter physics arises when a system cannot minimize its total energy by minimizing the energy of each pair of interacting degrees of freedom independently from each other. Both uniformly and random frustrated systems are ubiquitous in condensed matter physics. Examples range from magnetic and superconducting system, to biological membranes and proteins. Geometric frustration arises purely from geometrical constraints imposed by the system considered. Random frustration results from the frozen-in (quenched) random disorder that is always present in any real material, and which create randomly competing or "randomly frustrating" interactions. Because geometric and random frustration is so common, it is important to understand on a theoretical footing their effects in real materials. This is the focus of this research proposal. For example, problems to be tackled in this research program include: