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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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Spontaneous trimerization of spin-1 chains
TL;DR: In this paper, a spin-wave theory based on a simple trimer VB state is developed and applied to the model, and a selfconsistent picture is obtained: the system is trimerized for an extended region of couplings, with a non-zero energy gap that collapses at both ends of the region.
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Dynamics of quantum spin liquid and spin solid phases in IPA-CuCl3 under an applied magnetic field studied with neutron scattering
Andrey Zheludev,Vasile O. Garlea,Takatsugu Masuda,Hirotaka Manaka,L. P. Regnault,Eric Ressouche,B. Grenier,J.-H. Chung,Yiming Qiu,Klaus Habicht,Klaus Kiefer,Martin Boehm +11 more
TL;DR: Inelastic and elastic neutron scattering is used to study spin correlations in the quasi-one-dimensional quantum antiferromagnet IPA-CuCl3 in strong applied magnetic fields as mentioned in this paper.
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Spectroscopic Studies on the Metal-Insulator Transition Mechanism in Correlated Materials.
So Yeun Kim,Min-Cheol Lee,Garam Han,Marie Kratochvilova,Seokhwan Yun,Soon Jae Moon,Changhee Sohn,Je-Geun Park,Changyoung Kim,Tae Won Noh +9 more
TL;DR: An overview of recent efforts to unravel the microscopic mechanisms for various types of MITs in correlated materials is provided, and a new class of MIT materials is discovered, the so-called relativistic Mott insulators in 5d TMOs.
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Is the phase transition in the Heisenberg model described by the $(2+\epsilon)$-expansion of the nonlinear $\sigma$-model?
G. E. Castilla,S. Chakravarty +1 more
TL;DR: In this paper, the stability of the non-linear π-model with respect to gradient operators is discussed. But the authors do not consider the effect of the degree of the spin.
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Reversible and Topotactic Solvent Removal in a Magnetic Ni(NCS)2 Coordination Polymer.
TL;DR: Single crystal X-ray investigations reveal that the solvent removal leads to a change in symmetry from primitive to C-centered, which is reversible and which proceeds via a topotactic reaction leaving the network intact.
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.