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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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Bosonic representation of one-dimensional Heisenberg ferrimagnets
TL;DR: In this article, a comparative study of bosonic languages to describe one-dimensional Heisenberg ferrimagnets is presented, and a modified spin-wave scheme, which introduces a Lagrange multiplier keeping the native energy structure free from temperature and thus differs from the original Takahashi scheme, is particularly stressed as a useful tool to investigate onedimensional quantum ferrimagnetism.
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Fractional $\theta$ angle, 't Hooft anomaly, and quantum instantons in charge-$q$ multi-flavor Schwinger model.
TL;DR: In this article, the authors examined non-perturbative dynamics of a 2-dimensional QFT by using discrete 't Hooft anomaly, semi-classics with circle compactification and bosonization.
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Phase diagrams of spin ladders with ferromagnetic legs
TL;DR: In this paper, the low-temperature properties of the spin S = ½ ladder with anisotropic ferromagnetic legs were studied using the continuum limit Bosonization approach.
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Spin reduction transition in spin-3/2 random Heisenberg chains
TL;DR: In this article, an asymptotically exact renormalization group is used to induce a quantum phase transition between two random-singlet phases, where the effective spins at low energies are S e f f = 3/2, while in the weak randomness phase the effective spin are S f f f −1/2.
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Ground-State Properties of S=1 Antiferromagnetic Heisenberg Chains with Bond Alternation
TL;DR: In this paper, the ground state properties of S = 1 antiferromagnetic Heisenberg chains with bond alternation were studied by a quantum Monte Carlo method and the results support the continuous phase transition at δ≃0.25 demonstrated in previous works.
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.