Systems with Competing Periodicities: Correlation's, Phase Transitions and Anomalous Behavior

0072813satija本基金支持一位非博士的女性凝聚态理论家的工作。这是一个与物理部共同资助的决定。该研究项目关注粒子在一维非周期/准周期势中运动的能量特征值和波函数的行为，特别是由于多个竞争长度尺度而导致偏离周期性的粒子。重点讨论了波函数性质的变化。在严格周期系统中，波函数都是扩展/离域的。在随机系统中，它们是局域的。必须有一个转换，这可以通过观察这些a/准周期结构来研究。有几个项目在各种各样的晶格，其中考虑了许多竞争的长度尺度以及量子干涉的影响。此外，还计划在两个维度上推广和研究这些影响。%%%这位处于职业生涯中期的女教员没有博士学位。授予系以研究粒子在一维非周期或准周期势阱中的运动而闻名。这里的主要目标是把两个极端联系起来：在一个周期系统中，我们知道粒子的运动在很大程度上是周期性的和对数范围的。在一个随机系统中，粒子的运动不是长程的。这里的目标是考虑转换如何发生。也有研究量子效应和可能扩展到二维的项目，例如薄膜

0072813SatijaThis grant supports the work of a female condensed matter theorist from a non-Ph.D. granting department and is a co-funding decision with the PHY division. The research program concerns the behavior of energy eigenvalues and wavefunctions of a particle moving in a 1-dimensional aperiodic/quasiperiodic potential, especially one where the departure from periodicity arises as a result of more than one competing length scales. The focus is on the change of character of wavefunctions. In a strictly periodic system, the wavefunctions are all extended/delocalized. In a random system, they are localized. There must be a changeover, which can be studied by looking at these a/quasi periodic structures. There are several projects on a variety of lattices, which consider the effects of many competing length scales as well as of quantum interference. Further there are plans to generalize and study these effects in two dimensions.%%%This mid-career female member of the faculty at a non-Ph.D. granting department has been well known for her work on the motion of a particle in 1-dimension in an aperiodic or quasiperiodic potential well. The main objective here is to connect the two extremes: In a periodic system we know that the particle motion is largely periodic and log-range. In a random system, the particle motion is not long range. The objective here is to consider how the changeover occurs. There are also projects to study quantum effects and possible extensions to 2-dimensions, e.g. in thin films.***