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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Critical lines and massive phases in quantum spin ladders with dimerization
TL;DR: In this article, the existence of critical lines in dimerized quantum spin ladders in their phase diagram of coupling constants using the finite-size DMRG algorithm was determined by considering both staggered and columnar dimerization patterns and antiferromagnetic and ferromagnetic interleg couplings.
Dissertation
Etude structurale et dynamique de plusieurs systèmes magnétiques par la technique de l'écho de spin neutronique résonant
TL;DR: In this paper, a serie BaM2(XO4)2 (M = Co, Ni; X = As, P) is presented, and a methode capable of montrer de facon directe la degenerescence de la transition concernee.
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The emergence of complex behaviours in molecular magnetic materials
TL;DR: This work highlights the emergence of the signatures of complexity in several molecular magnetic systems, which may provide unexplored opportunities for physical and chemical investigations.
Dissertation
Some Results on One-Dimensional Models with Broken and Deformed Symmetries
TL;DR: Paraan et al. as mentioned in this paper presented analytic results for the ground state properties and entanglement in the Lieb-Liniger model and q-deformed Affleck-Kennedy-Lieb-Tasaki (AKLT) models.
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Quantum fluctuations in the ground state of the S = 1 antiferromagnetic Heisenberg chain
TL;DR: In this paper, the authors used a variational approach to study quantum fluctuations in the ground state of the S = 1 antiferromagnetic Heisenberg chain and constructed the total-spin-singlet and translationally invariant trial wave function.
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.