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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Symmetry protected topological Luttinger liquids and the phase transition between them
TL;DR: In this paper, it was shown that a doped spin-1/2 ladder with antiferromagnetic intra-chain and ferromagnetic inter-chain coupling is a symmetry protected topologically non-trivial Luttinger liquid.
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Symmetry Fractionalization in Two Dimensional Topological Phases
TL;DR: In this article, it was shown that symmetry fractionalization (SF) patterns are possible given different types of topological order and different global symmetries, and that some seemingly consistent SF patterns are actually 'anomalous' and cannot be realized in strictly 2D systems.
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Quenching the Haldane gap in spin-1 Heisenberg antiferromagnets
TL;DR: Using large-scale numerical simulations, the J-D phase diagram is mapped out and the low-lying excitations of the Haldane phase in the J≪1 limit are investigated, providing direct evidence that the Haldeane phase remains a nontrivial symmetry-protected topological state for small but finite J.
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Derivation of the matrix product ansatz for the Heisenberg chain from the algebraic Bethe ansatz
Hosho Katsura,Isao Maruyama +1 more
TL;DR: In this paper, a matrix product representation of the Bethe ansatz state for the XXX and XXZ spin-heisenberg chains using the algebraic Bethe Ansatz was derived.
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Inelastic polarized neutron scattering from S=1 antiferromagnetic CsNiCl3 in an applied field
TL;DR: In this paper, inelastic polarized neutron scattering measurements of the excitations in the S = 1, quasi-one-dimensional antiferromagnet CsNiCl3 with applied magnetic field were reported.
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.