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Journal ArticleDOI

The picture of low-lying excitations in the isotropic Heisenberg chain of arbitrary spins

L.A. Takhtajan
- 08 Feb 1982 - 
- Vol. 87, Iss: 9, pp 479-482
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TLDR
In this article, it was shown that the only one-particle excitation in the Heisenberg antiferromagnetic chain of arbitrary spins is a doublet of spin 12 spin waves.
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This article is published in Physics Letters A.The article was published on 1982-02-08. It has received 440 citations till now. The article focuses on the topics: Spin wave & Spin polarization.

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

TL;DR: 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.
Journal ArticleDOI

Finitely correlated states on quantum spin chains

TL;DR: In this paper, a construction that yields a class of translation invariant states on quantum spin chains, characterized by the property that the correlations across any bond can be modeled on a finite-dimensional vector space.
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Valence Bond Ground States in Isotropic Quantum Antiferromagnets

TL;DR: The first rigorous example of an isotropic model in such a phase is presented in this paper, where the Hamiltonian has an exactSO(3) symmetry and is translationally invariant, but the model has a unique ground state and exponential decay of the correlation functions in the ground state.
Journal ArticleDOI

Quench dynamics and relaxation in isolated integrable quantum spin chains

TL;DR: In this paper, the dynamics after quantum quenches in integrable quantum spin chains are reviewed, and a pedagogical introduction to relaxation in isolated quantum systems is given, and the description of the steady state by Gibbs ensembles is discussed.
Journal ArticleDOI

Quantum spin chains and the Haldane gap

TL;DR: In this paper, the authors review the arguments for this behaviour based on field-theory mappings, the Lieb-Schultz-Mattis theorem, exactly solvable models, finite-chain diagonalisation and real experiments.
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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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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