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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 Efficient Monte Carlo Approach to Low-Lying Excitations of Quantum Spin Chains
TL;DR: In this article, an efficient Monte Carlo approach to low-lying excitations of one-dimensional quantum spin systems has been proposed to extract the lower edge of the excitation spectrum from imaginary-time quantum Monte Carlo data at a sufficiently low temperature.
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Symmetry breaking in low-dimensional SU(N) antiferromagnets
TL;DR: In this paper, the consequences of explicit symmetry breaking in a physically motivated model of an antiferromagnet in spatial dimensions one and two are studied, and it is shown that the case of symmetry breaking for spin-1 cold atom systems displays special properties distinctly different from those for n = 3 and n = 4.
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Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
TL;DR: In this article , the authors demonstrate the universal properties of dissipative Tomonaga-Luttinger liquids by calculating correlation functions and performing finite-size scaling analysis of a non-Hermitian XXZ spin chain as a prototypical model in one-dimensional open quantum many-body systems.
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Cluster-based Haldane phases, bound magnon crystals and quantum spin liquids of a mixed spin-1 and spin-1/2 Heisenberg octahedral chain
TL;DR: In this article, the mixed spin 1 and spin 1/2 Heisenberg octahedral chain with regularly alternating monomeric spin-1 sites and square-plaquette spin1/2 sites is investigated using a variational technique, localized-magnon approach, exact diagonalization, and density-matrix renormalization-group method.
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Crystal Structures of a Bond Alternating Chain Compound [{Ni 2(Medpt) 2( µ-ox)( µ-N 3)} n] {(ClO 4)·0.5H 2O} n and a Dimer Compound [Ni 2(dpt) 2( µ-ox)(H 2O) 2](NO 3)(PF 6)
TL;DR: In this article, the crystal structures of a Ni bond alternating chain compound [{Ni 2 (Medpt) 2 (µ-ox)(µ -N 3 )} n ] {(ClO 4 )·0.5H 2 O} n were studied by x-ray diffraction.
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.