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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Spectral gap and decay of correlations in U(1)-symmetric lattice systems in dimensions D<2
TL;DR: In this paper, the authors consider many-body systems with a global U(1) symmetry on a class of lattices with the (fractal) dimension D < 2 and their zero temperature correlations whose observables behave as a vector under the U( 1) rotation.
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Low-dimensional magnetic systems with S=L, 3/2 and 2
TL;DR: In this paper, it has been shown that the magnitude of the Haldane gap can be controlled by substituting the bridging groups and in-plane ligands with substituting a bridging group with a ligand.
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Integrability, Non-integrability and confinement
TL;DR: In this paper, the main features of quantum integrable models are discussed, taking the classes of universality of the Ising model and the repulsive Lieb-Liniger model as paradigmatic examples.
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ESR absorption from the ground state in Haldane systems: Theory and experiment
TL;DR: In this article, the ground and excited states of Haldane systems in a magnetic field were investigated and a theoretical interpretation of the spectrum of the ESR spectrum was given, and it was shown that the spectrum is related to the nature of the ground states, which change with the applied magnetic field.
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Optical control of competing exchange interactions and coherent spin-charge coupling in two-orbital Mott insulators
TL;DR: In this article, a two-orbital Hubbard model at half filling under the action of a time-periodic electric field was studied and an effective Hamiltonian which describes two different regimes was derived.
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.