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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The phase diagram of the extended anisotropic ferromagnetic-antiferromagnetic Heisenberg chain
TL;DR: In this article, the phase diagram of 1D extended anisotropic Heisenberg model with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest neighbor interactions was analyzed using Density Matrix Renormalization Group (DMRG) technique.
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Quenching of the Haldane gap in LiVSi2O6 and related compounds
B. Pedrini,B. Pedrini,Stefan Wessel,J. L. Gavilano,H. R. Ott,Sergey M. Kazakov,Sergey M. Kazakov,J. Karpinski +7 more
TL;DR: In this paper, the authors report results of susceptibility χ and 7Li NMR measurements on LiVSi2O6 and also for its sister compounds LiVGe 2O6, NaVSi3O 6 and NaVGe2O 6, obtained via a modified random phase approximation which takes into account results of quantum Monte Carlo calculations.
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Staircase to higher-order topological phase transitions
TL;DR: In this paper, a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor, were found.
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Crossover effects in the random-exchange spin- 1 2 antiferromagnetic chain
TL;DR: In this article, the authors studied the random antiferromagnetic spin-$1∕2$ XX and XXZ chain numerically for varying strength of disorder, using exact diagonalization and stochastic series expansion methods.
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Phase transitions and entanglement properties in spin-1 Heisenberg clusters with single-ion anisotropy
TL;DR: In this paper, the incipient quantum phase transitions of relevance to nonzero fluctuations and entanglement in Heisenberg clusters are studied by exploiting negativity as a measure in bipartite and frustrated spin-1 anisotropic heisenberg cluster with bilinear-biquadratic exchange, single ion anisotropy and magnetic field.
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.