New approaches to the quantum Heisenberg models: Schwinger boson representations (invited)
- 1 May 1990
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 67 (9) , 5734-5739
- https://doi.org/10.1063/1.345947
Abstract
Schwinger boson representations allow us to study ferromagnetic and antiferromagnetic Heisenberg models in a rotationally invariant formulation. The large-N SU (N) Heisenberg models are approximated by the Schwinger boson mean-field theory (SBMFT). In most cases, even for N=2 (the physical model), the SBMFT is surprisingly successful: We review recent comparisons with numerical results, spin-wave theory, and renormalization group analysis of the nonlinear sigma model. The mean-field theory, like the nonlinear sigma model, does not include the effects of topological Berry phases, which can appear in the antiferromagnetic spin liquid phases.This publication has 27 references indexed in Scilit:
- Two soluble models of an antiferromagnetic chainPublished by Elsevier ,2004
- Microscopic calculation of the dynamical correlations in two-dimensional quantum antiferromagnets at low temperatures:T=0resultsPhysical Review Letters, 1989
- Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnetsPhysical Review Letters, 1989
- Dynamic Properties of a Two-Dimensional Heisenberg Antiferromagnet at Low TemperaturesPhysical Review Letters, 1989
- Static and dynamic spin correlations in pure and dopedPhysical Review B, 1988
- Low-temperature behavior of two-dimensional quantum antiferromagnetsPhysical Review Letters, 1988
- Classical Heisenberg ferromagnet in two dimensionsPhysical Review B, 1987
- Antiferromagnetism inPhysical Review Letters, 1987
- Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg ModelsPhysical Review Letters, 1966
- Zur Theorie der MetalleThe European Physical Journal A, 1931