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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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Rise and fall of hidden string order of lattice bosons
TL;DR: Dalla Torre et al. as mentioned in this paper investigated the ground-state properties of a newly discovered phase of one-dimensional lattice bosons with extended interactions, which can only be written as an infinite string in terms of the bosonic densities.
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Twisted quantum double model of topological phases in two dimensions
TL;DR: In this paper, the twisted quantum double model of 2D topological phases based on a finite group G and a 3-cocycleover G was proposed. But the model is not a discrete model and the ground states of the ground state subspace can not be characterized in terms of the quantum double D � (G) of G.
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Magnetic light scattering in low-dimensional quantum spin systems
TL;DR: An overview of one-and two-dimensional quantum spin systems based on transition-metal oxides and halides of current interest is given in this article, such as spin-Peierls, spin-dimer, geometrically frustrated and ladder systems.
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Subsystem symmetry protected topological order
TL;DR: In this paper, the authors introduce a new type of topological order that is protected by subsystem symmetries that act on lower-dimensional subsets of lattice many-body system, e.g., along lines or planes in a three-dimensional system.
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.