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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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The S=1 quantum spin chain with pure biquadratic exchange
TL;DR: In this article, states of the pure biquadratic quantum spin chain with up to four deviations were calculated exactly for arbitrary chain length, and it was shown that states with more than four deviations also map onto corresponding S = 1/2 states.
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Derivation of Matrix Product Ansatz for the Heisenberg Chain from Algebraic Bethe Ansatz
Hosho Katsura,Isao Maruyama +1 more
TL;DR: In this article, a matrix product representation of the Bethe ansatz state for the XXX and XXZ spin-1/2 Heisenberg chains using algebraic Bethe is derived.
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Entanglement in an SU(n) valence-bond-solid state
TL;DR: In this article, the ground state of SU(n) generalized valence-bond solid state is investigated and exact expressions for the reduced density matrix of a block of contiguous spins and explicitly evaluate the von Neumann and Renyi entropies.
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Semiclassical particle spectrum of double sine-Gordon model
TL;DR: In this article, the authors present new theoretical results on the spectrum of the quantum field theory of the double sine-Gordon model, which displays different varieties of kink excitations and bound states thereof.
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Phase Diagram of S=1/2 Quasi-One-Dimensional Heisenberg Model with Dimerized Antiferromagnetic Exchange
Nobuyuki Katoh,Masatoshi Imada +1 more
TL;DR: In this paper, the quantum phase transition between a spin gap state and an antiferromagnetic phase is investigated and a variety of critical exponents at the transition are estimated, namely, exponents ν, θ and z defined as the exponent of the correlation length, the magnetization curve and the dynamical exponent, respectively.
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.