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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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Direct observation of finite size effects in chains of antiferromagnetically coupled spins

TL;DR: Measurements of the spin density distribution of a finite chain of eight spin-3/2 ions using polarized neutron diffraction reveal edge effects that are a consequence of the finite size and of the parity of the chain and indicate a noncollinear spin arrangement.
Journal ArticleDOI

Spin Thermal Conductivity of the Haldane Chain Compound Y 2 BaNiO 5

TL;DR: Close to room temperature, D(E)(T) approaches the theoretically predicted high-temperature value, while scattering of spin excitations by magnetic impurities seems to be the major limiting factor of kappa(s) at low temperature.
Book ChapterDOI

Strongly correlated electrons

TL;DR: In this article, it was shown that CoO is an insulator and La2CuO4 is not metallic because the strong electron correlations suppress the charge fluctuations required for a nonvanishing conductivity.
Journal ArticleDOI

Quantum Monte Carlo methods — recent developments

TL;DR: A review of quantum Monte Carlo methods is given in this paper with emphasis on basic ideas, namely the transformation of a d-dimensional quantum system to the corresponding (d + 1)-dimensional classical system.
Journal ArticleDOI

Lattice pseudospin model for ν=1 quantum Hall bilayers

TL;DR: In this article, the authors present a theoretical approach to the study of a quantum Hall bilayer that is based on a systematic mapping of the microscopic Hamiltonian to an anisotropic SU(4) spin model on a lattice.
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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