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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Exact ground states for coupled spin trimers
TL;DR: In this paper, a class of geometrically frustrated Heisenberg spin systems which admit exact ground states was considered and the critical values of the inter-trimer couplings were numerically determined.
Journal Article
Critical Lines and Massive Phases in Quantum Spin Ladders with Dimerization
TL;DR: In this article, the PACS numbers: 75.10.Jm 75.20.Mn 75.9 pages, 10 figures; PACS number: 74.10.-b 74.
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Interaction quench and thermalization in a one-dimensional topological Kondo insulator
TL;DR: In this paper, the authors studied the topological properties of a topological Kondo insulator with a quantum quench of the on-site interaction strength and showed that the topology properties after the interaction quench are preserved.
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Numerical analysis of the bond-random antiferromagnetic S = 1 Heisenberg chain
TL;DR: In this paper, the ground state of the S = 1 Heisenberg chain with the biquadratic interaction is investigated by means of the exact-diagonalization method and the finite-size-scaling analysis.
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Critical Exponents of the Ground State Phase Transitions of the Spin 1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain with Anisotropy
TL;DR: In this article, the critical exponents of the phase transitions in the ground state of the ferromagnetic-antiferromagnetic alternating spin-1/2 Heisenberg chain are determined by means of the numerical diagonalization with emphasis on the boundary between the Haldane phase and the large-D phase.
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.