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Journal ArticleDOI

Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

Frederick D. Haldane
- 14 Feb 1983 - 
- Vol. 93, Iss: 9, pp 464-468
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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.
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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.

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Phonon excitations in the quasi-one-dimensional Haldane phase of SrNi2V2O8

TL;DR: In this article, the number of phonon lines observed in the experiment and their intensity were analyzed on the basis of the local symmetry considerations of different structural complexes, which was successful in explaining the discrepancy between the expected and experimentally observed phonon line.
Journal Article

Magnetotransport in 3D Topological Insulator Nanowires

TL;DR: In this paper, the transport properties of 3-dimensional topological insulators (TIs) were investigated in the presence of external electric and magnetic fields, using numerical simulations based on effective surface Dirac Hamiltonians.
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A Monte Carlo study of the anisotropic Heisenberg chain with spin 1

K Sogo, +1 more
- 11 Mar 1986 - 
TL;DR: In this paper, a Monte Carlo method for quantum spin-1 systems is presented, where the internal energy and longitudinal correlation functions are computed in the antiferromagnetic region, and some exponents and the phase diagram are derived with good accuracy.
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Condensed matter physics in big discrete time crystals

Peter Hannaford, +1 more
- 11 Feb 2022 - 
TL;DR: The application of discrete time crystals created in a Bose-Einstein condensate (BEC) of ultracold atoms bouncing resonantly on an oscillating atom mirror to the investigation of condensed matter phenomena in the time dimension is discussed in this article .
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Bethe Ansatz Calculations for Quantum Spin Chains with Partial Integrability

TL;DR: In this article, the S matrix of a spin-s quantum spin chain was studied and the Bethe ansatz method was used to obtain the ground states and low-lying excited states.
References
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Journal ArticleDOI

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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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

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.
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