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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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An introduction to the spectrum, symmetries, and dynamics of spin-1/2 Heisenberg chains
TL;DR: In this paper, the authors provide an introduction to the subject by focusing on the time evolution of a Heisenberg spin-1/2 chain and interpreting the results based on the analysis of the eigenvalues, eigenstates, and symmetries of the system.
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Extended Hubbard model in the presence of a magnetic field
TL;DR: In this article, the authors present the exact solution of the one-dimensional extended Hubbard model with on-site U and first nearest neighbor repulsive V interactions in the presence of an external magnetic field h, in the narrow band limit.
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Emergence of Long Period Antiferromagnetic Orders from Haldane Phase in S=1 Heisenberg Chains with D-Modulation
Kazuo Hida,Wei Chen +1 more
TL;DR: In this article, the effect of spatial modulation of the single-site anisotropy D on the ground state of the S = 1 Heisenberg chains is investigated, and it is found that the phase diagram contains the Haldane phase, large- D phase, Neel phase of udud-type and u0d0-type.
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Dynamics of a bond-disordered S =1 quantum magnet near z =1 criticality
TL;DR: In this paper, a bond-disordered modification of the well-known gapped antiferromagnetic quantum spin system was studied, and the results were consistent with a more or less continuous random distribution of bond strengths, and a discrete, possibly bimodal distribution of single ion anisotropies in the disordered material.
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Phase diagram of the 2-leg Heisenberg ladder with alternating dimerization
TL;DR: In this paper, the Lanczos method was used to determine the phase diagram of the 2-leg AF-Heisenberg ladder with alternating dimerization, which consists of a resonating valence bond phase and a dimer phase separated by a critical line.
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.