Low Dimensional Magnetic and Electronic Systems

最近人们对凝聚态物理学很感兴趣， 低维磁性和电子系统。 片和/或 磁性离子链可能在高温下起关键作用 超导性，如所描述的准一维系统 哈伯德模型。 单一磁性杂质的模型，如 作为近藤和安德森模型，形成的基础， 了解重电子系统。 另一方面 在理解和认识上取得了重大进展， Bethe Answer技巧在一维可积 系统. 其中一些模型是 上面提到的准一维系统。 本研究 将把贝特安纳伯格技术应用于一维磁场 和电子系统，以及了解正弦- 戈登模型。

There is much recent interest in the condensed matter physics of low dimensional magnetic and electronic systems. Sheets and/or chains of magnetic ions may play a key role in high temperature superconductivity, as may quasi-one-dimensional systems described by the Hubbard model. Models of single magnetic impurities, such as the Kondo and Anderson models, form the basis for understanding heavy electron systems. On the other hand, there have been significant recent advances in understanding and applying Bethe Ansatz techniques to one-dimensional integrable systems. Some of these models are excellent representations of the quasi-one-dimensional systems mentioned above. This research will apply Bethe Ansatz techniques to one-dimensional magnetic and electronic systems, as well as to understanding the sine- Gordon model.