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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Phase diagram of the random Heisenberg antiferromagnetic spin-1 chain.
TL;DR: A new perturbative real space renormalization group (RG) is presented to study random quantum spin chains and other one-dimensional disordered quantum systems and finds a random singlet phase for strong disorder.
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Spin waves in antiferromagnetic spin chains with long-range interactions
TL;DR: In this paper, the authors study antiferromagnetic spin chains with unfrustrated long-range interactions that decay as power laws with exponent beta, using the spin-wave approximation, and find for sufficiently large spin S that the Neel order is stable at T=0 for beta < 3, and survives up to a finite Neel temperature for beta ≥ 2.
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Entanglement in dimerized and frustrated spin-one Heisenberg chains
TL;DR: In this article, the authors investigate entanglement properties in dimerized and frustrated spin-one models by applying the concept of negativity and numerically calculate the negativities on the basis of the relation between negativity and correlators.
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Chiral Haldane phases of SU ( N ) quantum spin chains
TL;DR: In this paper, a universal AKLT Hamiltonian for an arbitrary symmetry group, including the case where inversion symmetry is broken, has been given for the case when the physical spin is in the adjoint representation.
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Spin nematic and orthogonal nematic states in S=1 non-Heisenberg magnet
TL;DR: In this article, the phases of S = 1 non-Heisenberg magnet at various relationships between the exchange integrals were studied in the mean-field limit at zero temperature.
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.