Non-linear sigma model approach to quantum spin chains

2005/12/05 by Rao, Sumathi
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.cond-mat/0512085

Abstract

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 J₁-J₂-δ model in some detail and end with a few comments on open problems.

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