Some Theoretical Studies of the Properties of Condensed Matter

本研究将以非摄动的方式研究非谐性在随机网络振动中的作用；对振动分形结构的非弹性散射振幅进行数值计算；研究混合非晶材料声速的标度特性；研究了掺稀空穴高温超导体中的核自旋弛豫。某些无序材料的结构最好用分形来描述。提出的研究使用分形结构上的分形模型或激励来解释这些无序材料的各种物理性质。对高温超导体中的核弛豫进行了进一步的研究。

Research will be undertaken to study nonperturbatively the role of anharmonicity for vibrations of random networks; to conduct numerical calculations of inelastic scattering amplitudes from vibrating fractal structures; to study the scaling properties of the sound velocity for mixed amorphous materials; and, to investigate the nuclear spin relaxation in dilute hole-doped high temperature superconductors. %%% Certain disordered materials exhibit structures which are best described by fractals. The proposed research uses the model of fractons, or excitations on a fractal structure, to interpret various physical properties of these disordered materials. Additional work will be conducted on nuclear relaxation in the high temperature superconductors.