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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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Spin correlations and haldane gap in the s = 2 antiferromagnetic heisenberg chain
TL;DR: In this article, the ground-state spin-spin correlation function and an excitation gap immediately above the ground state were calculated for chains up to 512 spins and the large-separation correlations were well fitted to the two-dimensional Ornstein-Zernike form.
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Breakdown of a magnetization plateau due to anisotropy in Heisenberg mixed-spin chains
Shoji Yamamoto,Tôru Sakai +1 more
TL;DR: In this article, the critical behavior of the spin-1,?) Heisenberg ferrimagnetic chain in a magnetic field was discussed, whose magnetization curve exhibits a plateau at a third of the full magnetization.
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Magnetization plateaux in the antiferromagnetic Ising chain with single-ion anisotropy
TL;DR: In this article, Chen et al. derived the magnetization per spin (m) as an explicit function of the magnetic field (H ) and the anisotropy parameter (D ).
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Topological Spin Phases of Trapped Rydberg Excitons in Cu 2 O
TL;DR: Theoretical study of Rydberg excitons in one-dimensional chains of traps in Cu_{2}O coupled via the van der Waals interaction predicts that the system has the topological Haldane phase with the diluted antiferromagnetic order, long-range string correlations, and finite excitation gap.
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Berezinskii-Kosterlitz-Thouless transition and BCS-Bose crossover in the two-dimensional attractive Hubbard model
TL;DR: In this article, a phase-only action for charge and pairing fluctuations is obtained in the hydrodynamic regime, where half the fermion density is identified as the conjugate variable of the phase of the superconducting order parameter.
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.