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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DMRG studies of critical SU(N) spin chains
TL;DR: In this article, the DMRG method is applied to integrable models of antiferromagnetic spin chains for fundamental and higher representations of SU(2), SU(3), and SU(4).
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Topological order, dimerization, and spinon deconfinement in frustrated spin ladders
TL;DR: In this article, the authors consider topological order and dimer order in frustrated spin ladder models and discuss how the occurrence of dimerized or fractionalized phases is dictated by the system's geometry.
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Solitonic excitations in the Haldane phase of an S=1 chain
Gábor Fáth,J. Sólyom +1 more
TL;DR: In this article, low-lying excitations in the 1D S = 1 antiferromagnetic valence-bond-solid (VBS) model were studied and the lowest excitations were found to form a discrete triplet branch, separated from the higher-lying continuum.
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Low energy properties of a frustrated antiferromagnetic spin-1/2 ladder
TL;DR: In this article, the phase diagram of a frustrated antiferromagnetic spin ladder at zero temperature was determined using the density matrix renormalization group method, and two spin-gapped phases, the Haldane phase and the singlet phase, were identified.
Journal Article
Local Entanglement and Quantum Phase Transition in Spin Models
TL;DR: In this article, the authors study quantum phase transitions in both the one-and two-dimensional XXZ models with either spin S = 1/2 or S= 1 by a local entanglement Ev.
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.