Bosonic mean-field theory of the spiral phases of Heisenberg antiferromagnets on a chain
- 1 November 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 48 (17) , 12763-12767
- https://doi.org/10.1103/physrevb.48.12763
Abstract
We develop a bosonic mean-field theory to describe the spiral phases of a Heisenberg antiferromagnet on a one-dimensional chain, in terms of three bosons at each site. The ground state is disordered, and for large values of the spin S, two different and exponentially small energy gaps are found. The spin-spin correlation function is computed and is shown to decay exponentially at large distances. Our mean-field theory is also shown to be exact in a large-N generalization.All Related Versions
This publication has 28 references indexed in Scilit:
- Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma modelPublished by Elsevier ,2002
- The θ = π nonlinear sigma model is masslessNuclear Physics B, 1990
- Quantum spin chains and the Haldane gapJournal of Physics: Condensed Matter, 1989
- Two-dimensional quantum Heisenberg antiferromagnet at low temperaturesPhysical Review B, 1989
- Topological terms in one- and two-dimensional quantum Heisenberg antiferromagnetsPhysical Review B, 1988
- Absence of the Hopf invariant in the long-wavelength action of two-dimensional quantum antiferromagnetsPhysical Review B, 1988
- Spin Waves and Topological Terms in the Mean-Field Theory of Two-Dimensional Ferromagnets and AntiferromagnetsPhysical Review Letters, 1988
- The Resonating Valence Bond State in La 2 CuO 4 and SuperconductivityScience, 1987
- Exact critical exponents for quantum spin chains, non-linear σ-models at θ=π and the quantum hall effectNuclear Physics B, 1986
- Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel StatePhysical Review Letters, 1983