Non-linear sigma model approach to quantum spin chains

Details Non-linear sigma model approach to quantum spin chains Non-linear sigma model approach to quantum spin chains

2005-12-05

arxiv.org/abs/cond-mat/0512085v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, Proceedings of CMDAYS05, Berhampur, to be published in Indian Jnl of Physics

Scientific paper

We introduce and motivate the study of quantum spin chains on a one-dimensional lattice. We classify the varieties of methods that have been used to study these models into three categories, - a) exact methods to study specific models b) field theories to describe fluctuations about the classical ordered phases and c) numerical methods. We then discuss the $J_1$-$J_2$-$\delta$ model in some detail and end with a few comments on open problems.

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