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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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Stable soliton solution of the CP1 model with a Chern-Simons term

TL;DR: In this paper, a stable (finite size, finite energy) static soliton, of unit winding number, was found numerically in the CP1 model with a Chern-Simons (CS) term.
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Intriguing assembled structure and properties of a novel dinuclear nickel(II) complex with an axially coordinated azide and methanol

TL;DR: In this article, a dinickel (II) complex consisting of doubly bridged anionic 3,5-bis(2-pyridyl)pyrazolate (bpypz − ) and axially coordinated azido ions and methanol molecules was prepared and structurally characterized by single crystal X-ray diffraction, IR, Raman, and UV-Vis spectroscopies.
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Quantum spins and quantum links: The D-theory approach to field theory

TL;DR: In this article, a non-perturbative approach to quantum field theory is proposed, which works with discrete quantized variables instead of performing a path integral over configurations of classical fields.
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Disordered ground states in a quantum frustrated spin chain with side chains

TL;DR: In this paper, a frustrated mixed spin chain with side chains is studied, where the spin species and the exchange interactions are spatially varied, and a phase diagram with two disordered spin-gap phases is obtained for typical cases.
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Bridging Fermionic and Bosonic Short Range Entangled States

TL;DR: In this paper, the authors construct SRE states in all spatial dimensions by coupling a $Z 2 -gauge field to fermionic SREs with the same symmetries, and driving the Z 2 −gauged field to its confined phase.
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
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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.
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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.
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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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