Journal ArticleDOI
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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QED3 and two-dimensional superconductivity without parity violation
N. Dorey,Nikolaos Mavromatos +1 more
TL;DR: In this article, the parity-invariant model of two-species fermions coupled with opposite sign to an abelian gauge field is investigated. But the model is not suitable for high-T c superconductors.
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Some Features of the Phase Diagram of the Square Lattice SU($N$) Antiferromagnet
N. Read,Subir Sachdev +1 more
TL;DR: In this article, the properties of the nearest-neighbor SU(N) antiferromagnet a square lattice as a function of N and the number of rows (m) and columns (nc) in the Young tableau of the SU (N) representation on the A sublattice were studied.
Journal ArticleDOI
The quantum hall effects, σ-models at Θ=π and quantum spin chains
TL;DR: In this paper, it was shown that there is only a first-order transition from fixed, n large to large in the replica limit n, m → 0, where n = 2, m = 1 by mapping the σ model at π ≠ π into a quantum spin chain.
Journal ArticleDOI
Localizable Entanglement
TL;DR: The concept of Localizable entanglement (LE) was introduced in this paper, where the authors consider systems of interacting spins and study the entanglements that can be localized, on average, between two separated spins by performing local measurements on the remaining spins.
Book ChapterDOI
One-dimensional magnetism
TL;DR: In this article, an up-to-date survey of theoretical concepts and results in the field of one-dimensional magnetism and their relevance to experiments and real materials is presented, focusing on quantum phenomena in models of localized spins with isotropic exchange and additional interactions from anisotropy and external magnetic fields.
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.