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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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Numerical Study of a Model for NENP: One-Dimensional S=1 Antiferromagnetin a Staggered Field
Tôru Sakai,Hiroyuki Shiba +1 more
TL;DR: In this article, the S = 1 antiferromagnetic chain with a transverse staggered magnetic field was studied and it was shown that the standard theory of ESR is valid above the critical field corresponding to a minimum of the energy gap, if the sublattice moments are suitably reinterpreted.
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Lieb-Schultz-Mattis theorem and its generalizations from the perspective of the symmetry-protected topological phase
Chao-Ming Jian,Zhen Bi,Cenke Xu +2 more
TL;DR: In this article, a local Hamiltonian with a featureless (fully gapped and nondegenerate) ground state could exist in certain quantum spin systems, and the lattice symmetry of the spin system acts as an onsite symmetry in the field theory that describes both the selected critical point and the corresponding boundary state.
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Low-energy fixed points of random Heisenberg models
TL;DR: In this article, the effect of quenched disorder on the low energy and low-temperature properties of various two-and three-dimensional Heisenberg models is studied by a numerical strong disorder renormalization-group method.
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Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
Fabian H. L. Essler,Robert Konik +1 more
TL;DR: In this paper, the authors consider the case where the zero temperature correlation function is dominated by a delta-function line arising from the coherent propagation of single particle modes and show that the temperature broadening of the line shape exhibits a pronounced asymmetry and a shift of the maximum upward in energy.
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Synthesis, Crystal Structures, and Magnetostructural Correlations in Two New One-Dimensional Nickel(II) Complexes with Azido as Bridging Ligand. Effect of Temperature
TL;DR: In this article, two new nickel(II) trans-monodimensional end-to-end azide-bridged complexes were synthesized and characterized: Ni(1,3-diamino-2,2-dimethylpropane)2(μ-N3)]n(PF6)n (1) and [Ni( 1,3diaminopropane)-2,N3]n( PF6n (2).
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.