Journal ArticleDOI
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
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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.About:
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.read more
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Hidden symmetry breaking in a generalized valence-bond solid model
K Totsuka,M Suzuki +1 more
TL;DR: In this paper, the ground state of the generalized valence-bond solid model is derived and the relation between this expression and the matrix-product representation of Klumper et al. (1991,1992) is discussed.
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The spin-one Heisenberg-biquadratic quantum spin chain treated by the coupled-cluster method
TL;DR: In this article, the ground-state energy of the isotropic Heisenberg-biquadratic quantum spin-one chain as a function of the ratio of the magnitudes of the two terms in the Hamiltonian is obtained.
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Effect of spin-1/2 impurity on spin-1 antiferromagnetic Heisenberg chain
Makoto Kaburagi,Takashi Tonegawa +1 more
TL;DR: In this paper, the ground state of the spin-1 antiferromagnetic Heisenberg chain with a spin 1/2 impurity was investigated by means of a variational method and a method of numerical diagonalization.
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Breakdown of a Magnetization Plateau due to Anisotropy in Heisenberg Mixed-Spin Chains
Shoji Yamamoto,Tôru Sakai +1 more
TL;DR: In this article, the critical behavior of the spin-1,1/2 Heisenberg ferrimagnetic chain in a magnetic field was discussed, whose magnetization curve exhibits a plateau at a third of the full magnetization.
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Quantum simulation of spin ordering with nuclear spins in a solid-state lattice
TL;DR: In this paper, an experiment demonstrating the quantum simulation of a spin-lattice Hamiltonian is proposed, where dipolar interactions between nuclear spins in a solid state lattice can be modulated by rapid radio-frequency pulses.
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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On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain
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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
L. D. Faddeev,L.A. Takhtajan +1 more
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.