Spin wave analysis of Heisenberg magnets in restricted geometries

Details Spin wave analysis of Heisenberg magnets in restricted geometries Spin wave analysis of Heisenberg magnets in restricted geometries

2004-12-29

arxiv.org/abs/cond-mat/0412742v1

Lect. Notes Phys. v. 645, pp. 195-226 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

A review article, Chapter 4 in: "Quantum Magnetism", edited by U. Schollwoeck et al. (Springer-Verlag, Berlin Heidelberg, 2004

Scientific paper

10.1007/BFb0119594

In the last decade it has been proven that the standard spin wave theory was able to provide accurate zero-temperature results for a number of low-dimensional Heisenberg spin systems. In this chapter we introduce the main ingredients of the spin-wave technique using as a working model the two-leg mixed-spin ferrimagnetic ladder and the Dyson--Maleev boson formalism up to second order in the spin-wave interaction. In the remainder, we survey typical applications in low-space dimensionality as well as some recent modifications of the theory admitting a quantitative analysis in magnetically disordered phases. The presented spin-wave results are compared with available numerical estimates.

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