Journal ArticleDOI
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
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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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Self-consistent large-N analytical solutions of inhomogeneous condensates in quantum ℂP$^{N −1}$ model
Muneto Nitta,Ryosuke Yoshii +1 more
TL;DR: In this paper, a self-consistent large-N analytical solution of inhomogeneous condensates in the quantum ℂPN−1 model in the large N limit was given.
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Characterizing the Haldane phase in quasi-one-dimensional spin-1 Heisenberg antiferromagnets
TL;DR: In this article, the basic properties of the Haldane phase in spin-1 Heisenberg antiferromagnetic chains, including its persistence in quasi-one-dimensional (Q1D) geometries, were reviewed.
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Integrable deformations of coupled σ-models
Cristian Bassi,Sylvain Lacroix +1 more
TL;DR: In this paper, integrability-preserving deformations of the integrable σ-model coupling together N copies of the Principal Chiral Model are obtained using the formalism of affine Gaudin models.
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Generalized Heisenberg quantum spin chains (invited)
TL;DR: In particular, a gap should be present in the spectrum of a Heisenberg antiferromagnetic chain this paper, which is counterintuitive in terms of accepted wisdom in magnetism (spinwave theory, spin-Peierls theory) and critical phenomena.
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Entanglement and Density Matrix of a Block of Spins in AKLT Model
TL;DR: It is proved that for large block the von Neumann entropy coincides with Renyi entropy and is equal to $\ln\left(S+1\right)^{2}$ .
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.