Low Dimensional Magnetic and Electronic Systems

近年来，人们对低维磁性和电子系统的凝聚态物理产生了浓厚的兴趣。磁性离子片和/或链可能在高温超导中发挥关键作用，正如哈伯德模型所描述的准一维系统一样。单一磁性杂质的模型，如Kondo和Anderson模型，构成了理解重电子系统的基础。另一方面，最近在理解和应用Bethe Ansatz技术到一维可积系统方面取得了重大进展。其中一些模型是上面提到的准一维系统的极好表示。这项研究将把贝特·安萨茨技术应用于一维磁和电子系统，以及理解正弦-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.