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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Variational study of isotropic spin-1 chains using matrix-product states†
TL;DR: In this article, the authors studied the phase diagram of the bilinear-biquadratic spin-1 chain and obtained upper bounds for the groundstate energy using so-called matrix-product states.
Journal ArticleDOI
Generalized string order in the spin-1/2 alternating Heisenberg chain
TL;DR: In this article, the phase-dependent generalized string order introduced by Oshikawa in the VBS (valence bond solid)-type states of the integer spin chain is extended to the spin-1/2 J - J - alternating Heisenberg chain with antiferromagnetic J.
Book ChapterDOI
Chapter 2 Magnetic materials studied by muon spin rotation spectroscopy
A. Schenck,F.N. Gygax +1 more
TL;DR: In this article, the results on magnetic materials obtained by a single technique, namely, muon spin rotation (μSR) spectroscopy, are discussed and the magnetic properties of certain materials as collected by different methods and techniques are focused.
Journal ArticleDOI
Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
TL;DR: In this article, the magnetization process of the spin-S Heisenberg antiferromagnet on the kagome lattice is studied by the numerical diagonalization method.
Journal ArticleDOI
Interaction-Induced Fractionalization and Topological Superconductivity in the Polar Molecules Anisotropic t-J Model.
TL;DR: It is shown that the interplay between antiferromagnetic interaction and hole motion gives rise to a topological superconducting phase, captured by the one dimensional anisotropic t-J model, and it is proved that a phase characterized by nontrivial topological order takes place.
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
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.