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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Symmetry fractionalization: symmetry-protected topological phases of the bond-alternating spin-1/2 Heisenberg chain.
TL;DR: In this paper, the authors study different phases of the one-dimensional bond-alternating spin-1/2 Heisenberg model by using the symmetry fractionalization mechanism.
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Progress in numerical simulations of systems with a θ-vacuum like term: The two- and three-dimensional Ising model within an imaginary magnetic field
TL;DR: In this article, Azcoiti et al. reconstructed the behavior of the antiferromagnetic Ising model with imaginary magnetic field iθ for two and three dimensions in the low temperature regime.
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Numerical evidence of a spin-1/2 chain approaching a spin-1 chain
TL;DR: In this paper, the authors studied the one-dimensional Heisenberg spin-$1∕2$ alternating bond chain in which the nearest neighbor exchange couplings are ferromagnetic and antiferromagnetic (AF) alternatively.
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Entanglement Spectra of Heisenberg Ladders of higher Spin
TL;DR: In this article, the entanglement spectrum of Heisenberg spin ladders of arbitrary spin length S in the perturbative regime of strong rung coupling was studied and related issues in dimerized spin chains were discussed.
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Alternating spin chains: controlled assembly from bimetallic building blocks and QMC simulation of spin correlation.
Serhiy Demeshko,Guido Leibeling,Sebastian Dechert,Sebastian Fuchs,Thomas Pruschke,Franc Meyer +5 more
TL;DR: In this article, the Heisenberg antiferromagnetic system with inherent bond alternation (HABA) was described for the first time, whereby the organic ligand framework ensures that the individual nickel/azido chains are well isolated in the crystal lattice.
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.