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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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Low-Temperature Properties of Quasi-One-Dimensional Molecule-Based Ferromagnets
TL;DR: In this paper, the authors investigated the properties of low-dimensional mixed-spin systems with particular emphasis on the design of molecule-based ferromagnets and developed the spin-wave theory and fully revealed its low-energy structure.
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Doping induced quantum bound states within the Haldane gap.
TL;DR: This Letter considers explicitly the case of "bond" doping due to off-chain impurities, and generalizes the approach to the boson case to show the appearance of quantum bound states at the middle of the Haldane gap.
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Helical quantum Hall Edge modes in bilayer graphene: a realization of quantum spin-ladders
TL;DR: In this paper, the authors show that spin-ladder physics can be realized in an engineered nanostructure made out of bilayer graphene in the zero-filling quantum Hall state, where a domain wall is explicitly induced in the middle of the sample.
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Antiferromagnetic Ordering in MnF(salen)
Erik Čižmár,Olivia N. Risset,Tong Wang,M. Botko,Akhil R. Ahir,Matthew J. Andrus,J.-H. Park,Khalil A. Abboud,Daniel R. Talham,Mark W. Meisel,Stuart Brown +10 more
TL;DR: Using single crystals, specific heat studies performed in magnetic fields up to 9 T revealed the presence of a field-independent cusp at the same temperature where (1)H NMR studies conducted at 42 MHz observed dramatic changes in the spin-lattice relaxation time, T 1, and in the linewidths.
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Detection of topological symmetry in the one-dimensional Affleck-Kennedy-Lieb-Tasaki model of integer spin with ultracold spinor atoms in optical lattices
TL;DR: In this paper, a scheme for detection of the topology in the one-dimensional Affleck-Kennedy-Lieb-Tasaki model, based on ultracold spinor atomic gas in an optical lattice, is proposed.
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.