Journal ArticleDOI
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
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TLDR
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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Dynamics of the S = 1 / 2 Alternating Chains at T = ∞
TL;DR: In this paper, the authors obtained the delocalization modes of the single and double singlet-to-triplet local excitations in terms of the continued fraction formalism with the recurrence relations method.
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String order and hidden topological symmetry in the SO(2n+1) symmetric matrix product states
TL;DR: In this paper, a class of exactly soluble Hamiltonians with either SO(2n + 1) or SU(2) symmetry was introduced, whose ground states are the SO( 2n+ 1) symmetric matrix product states, which can be fully identified and characterized by a set of nonlocal string order parameters.
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Quantum Magnetism in Minerals
TL;DR: The recent surge of interest in magnetism and quantum magnetism was largely encouraged by crystalline structures of natural minerals realizing pyrochlore, kagome, or triangular arrangements of magnetic ions as discussed by the authors.
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Topological Phase Transition and Z 2 Index for S = 1 Quantum Spin Chains
TL;DR: In this article, the existence of a topological phase transition between the Affleck-Kennedy-Lieb-Tasaki (AKLT) model and trivial models is proved.
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Entanglement, non-Hermiticity, and duality
TL;DR: In this paper, a duality was proposed to diagnose quantum entanglement of non-Hermitian non-interacting fermionic systems with a complete set of biorthonormal eigenvectors and an entirely real energy spectrum.
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.