外磁场中一维自旋-1/2XY模型的玻色化

Bosonization of one-dimensional spin-1/2XY model in external magnetic field

采用Jordan-W igner变换和玻色化方法研究外场中的自旋-1/2XY模型.由于外磁场的引入,该模型的玻色化过程受到影响,首先讨论该模型在无磁场情况下的哈密顿,随后对磁场引入的扰动项做了单独地玻色化;并在阿贝尔玻色化方案下对玻色场算符做了重新定义,从而解决了由于扰动所带来的协变问题,给出了各关联函数的表达式;最后简单讨论在处理此类模型时,玻色化方法较之其他方法的优长.

By using bosonization technique and Jordan-Wigner transformation , we study the spin -1/2XY model in external magnetic field. The bosonization procedure is changed in the presence of an external field. We study the model without external field firstly, and then the perturbation due to the external magnetic field is bosonized separately. We solve the incommensurability problem by redefining the bononic field operator, and correlation functions are calculated. Lastly, we talk simply about virtues of bosonization compared with other techniques.