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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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Topological Mott insulator with bosonic edge modes in one-dimensional fermionic superlattices
TL;DR: In this article, the authors investigated topological phase transitions driven by interaction and identified a topological Mott insulator state in one-dimensional fermionic optical superlattices through a numerical density-matrix renormalization-group method.
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Three-magnon excitations in ferromagnetic spin-S chains
B. W. Southern,R J Lee,D A Lavis +2 more
TL;DR: In this paper, the nature of three-magnon excitations in general spin-S quantum spin chains is studied using the recursion method and the asymptotic behaviour of the recurrence coefficients can be used to identify the presence of bound states in the spectrum.
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Magnetization process of random quantum spin chains
TL;DR: In this article, the magnetization process of spin chains with randomness is discussed and a close analogy between these systems and disordered particle systems is made, with particular attention paid to the (in)stability of spin-gapped phases against several types of randomness.
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Confining solitons in the Higgs phase of ℂP N −1 model: self-consistent exact solutions in large-N limit
Muneto Nitta,Ryosuke Yoshii +1 more
TL;DR: In this article, a self-consistent exact solution describing a soliton in the Higgs phase of the ℂP N −1 model in the large-N limit on a ring is presented.
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New approaches to the quantum heisenberg models : schwinger boson representations (invited)
Assa Auerbach,Daniel P. Arovas +1 more
TL;DR: Schwinger boson representations allow us to study ferromagnetic and antiferromagnetic Heisenberg models in a rotationally invariant formulation as discussed by the authors, and they have been applied to the nonlinear sigma model.
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.