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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Quantum and classical behavior of spin-S Kitaev models in the anisotropic limit
TL;DR: In this paper, the low-energy properties of spin-S$ Kitaev models in an anisotropic limit were studied and the effective form of a local conserved quantity was derived in the low energy subspace.
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Quantized Berry phases for a local characterization of spin liquids in frustrated spin systems
TL;DR: In this article, a generic Heisenberg model with a finite excitation gap is considered and the Hamiltonian is modified by a continuous SU(2) twist only at a specific link and the Berry connection is defined by the derivative.
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Density matrix renormalization group study of the correlation function of the bilinear-biquadratic spin-1 chain
TL;DR: In this paper, the correlation function of the spin-1 chain with quadratic and biquadratic interactions was studied using the recently developed density matrix renormalization group approach.
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Excitation Spectrum of the Spin-1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain
TL;DR: In this article, the energy spectrum of the spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain was analyzed from the viewpoint of spin 1/2 antiferromagnetism.
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Topological time crystals
TL;DR: In this article, it was shown that topological insulators can be observed in time and the bulk-edge correspondence is related to the edge in time, where edge states localize.
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.