Theoretical Studies of Superconductors and Superfluids

本提案中包含的研究将调查低- 几个系统的温度理论行为， 宏观量子特性 劳克林最近提出， 服从半分数统计的粒子 超导性 他们将继续研究这个模型 对于高Tc超导体，着重于激发光谱 和排斥短程势的影响， 筛选的长期规范的力量，并响应于一个 外部磁场，无论是在零温度和有限 温度 旋进耗散畴壁的行为 在超流3 He-A中， 轨道动力学模型，特别注意 这些动态纹理的稳定性， 磁场和偶极解锁效应。 准- 经典的形式主义将被用来扩展他们以前的研究 超流3 He在严格限制的几何形状超越 金斯堡-朗道政权。 他们最初计划分析平面 边界，但他们最终寻求通过一个 收缩作为薄弱环节的模型。

The research included in this proposal will investigate the low- temperature theoretical behavior of several systems that display macroscopic quantum properties. Laughlin has recently suggested that particles obeying half fractional statistics would exhibit superconductivity. They will continue their study of this model for high-Tc superconductors, focusing on the excitation spectrum and the effect of a repulsive short-range potential, the screening of the long-range gauge forces, and the response to an external magnetic field, both at zero temperature and at finite temperature. The behavior of precessing dissipative domain walls in superfluid 3He-A will be investigated with the hydrodynamic model of orbital dynamics, with particular attention to the stability of these dynamic textures, the response to external magnetic fields, and the effect of dipole unlocking. The quasi- classical formalism will be used to extend their previous studies of superfluid 3He in severly confined geometries beyond the Ginzburg-Landau regime. They initially plan to analyze planar boundaries, but they eventually seek to treat flow through a constriction as a model for a weak link.