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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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Thermodynamic studies on single crystalline Gd2BaNiO5

TL;DR: In this paper, thermodynamic properties and the magnetic phase diagram of Gd${}_{2}$BaNiO${}_5}$ investigated by means of specific heat and magnetization measurements performed along the main crystallographic axes of the single crystal.
Journal ArticleDOI

Field theories for frustrated antiferromagnetic spin chains

TL;DR: In this paper, the authors studied the antiferromagnetic spin chain with both dimerization and frustration and showed that in the spiral phase, the held theory becomes SO(3) x SO (3) and Lorentz invariant at long distances, a model which is exactly solvable.
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Magnetism of a New Spin-1 Material NaV(WO4)2.

TL;DR: In this article, the magnetism of a new quantum-spin material NaV(WO 4 ) 2 was studied and the crystal structure showed a zig-zag S = 1 spin chain along the c axis.
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Optical control of competing exchange interactions and coherent spin-charge coupling in two-orbital Mott insulators

TL;DR: In this paper, a two-orbital Hubbard model at half filling under the action of a time-periodic electric field was studied and an effective Hamiltonian which describes two different regimes was derived.
References
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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
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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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