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Journal ArticleDOI

Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

Frederick D. Haldane
- 14 Feb 1983 - 
- Vol. 93, Iss: 9, pp 464-468
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TLDR
An action-angle representation of spin variables was used to relate the large-S Heisenberg antiferromagnet to the O(3) nonlinear sigma model quantum field theory, with precise equivalence for integral S as discussed by the authors.
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This article is published in Physics Letters A.The article was published on 1983-02-14. It has received 1855 citations till now. The article focuses on the topics: Sigma model & AKLT model.

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Citations
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Magnetization plateaus of spin- 1 2 system on a 5 / 7 skewed ladder

TL;DR: In this article, the authors present numerical studies of magnetization plateaus in the spin-1/2 skewed ladder system obtained by alternately fusing five-and seven-membered rings.
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Long-range and short-range magnetic order in NaVGe2O6

TL;DR: The metaloxide pyroxene compound NaVGe 2 O 6 containing isolated edge-sharing VO 6 (S = 1) chains undergoes a transition into a long-range antiferromagnetic state at T N =16.
Journal ArticleDOI

The Haldane phase at finite temperatures : a defect approach

TL;DR: In this article, a self-consistent approach using defects, which was recently proposed by Gomez-Santos (1989), is applied to determine the phase diagram at T = 0 K and is generalised to finite temperatures.
Journal ArticleDOI

Dynamics of the quantum integer spin S one-dimensional Heisenberg antiferromagnet coupled to phonons

TL;DR: In this paper, the low-temperature dynamic properties of the quantum one-dimensional Heisenberg antiferromagnet with integer spin S coupled to phonons were analyzed.
References
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Journal ArticleDOI

Zur Theorie der Metalle

TL;DR: In this article, a Methode angegeben, um die Eigenfunktionen nullter and Eigenwerte erster Naherung (im Sinne des Approximationsverfahrens von London and Heitler) fur ein „eindimensionales Metall“ zu berechnen, bestehend aus einer linearen Kette von sehr vielen Atomen, von denen jedes auser abgeschlossenen Schalen eins-Elektron with Spin besitz
Journal ArticleDOI

Integrable Hamiltonian systems and interactions through quadratic constraints

TL;DR: In this article, the relativistic field theories in one time and one space dimension with interactions that are entirely due to quadratic constraints are shown to be closely related to integrable Hamiltonian systems.
Journal ArticleDOI

Interaction of Goldstone Particles in Two-Dimensions. Applications to Ferromagnets and Massive Yang-Mills Fields

TL;DR: In this paper, it is shown that due to interaction the regime of the asymmptotic freedom arises and the continuation to higher dimensions and the applications of the result are briefly discussed.
Journal ArticleDOI

What is the spin of a spin wave

TL;DR: In this paper, it was shown that the spin of a spin wave in the Heisenberg antiferromagnetic chain of spins 1 2 is equal to 1 2 rather than 1 as is generally considered to be true.
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