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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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Citations
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Anomalous domain wall condensation in a modified Ising chain

TL;DR: In this article, a one-dimensional local spin Hamiltonian with an intrinsically non-local, and therefore anomalous, global symmetry was constructed, which is closely related to the quantum Ising model in a transverse magnetic field.
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Crystal Structure of Ni(C 3 H 10 N 2 ) 2 NO 2 ClO 4

TL;DR: In this paper, the crystal structure of nickel trimethylenediamine nitrite perchlorate Ni(C 3 H 10 N 2 ) 2 NO 2 ClO 4 (NINO) has been studied by single-crystal X-ray diffraction.
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Pair-Hopping Mechanism for Layered Superconductors

TL;DR: In this paper, a possible charge fluctuation effect expected in layered superconducting materials is proposed, where the charging effect of a layer is comparable to the pair hopping in the Coulomb repulsion.
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Doping effect on spin-Peierls instability.

TL;DR: A theory of SP transition in doped systems is proposed explaining findings and making further predictions on a gapleat SP state to be checked by experiments, which is rather similar to superconductors doped with paramagnetic impurities which reduce the energy gap and eventually give rise to gapless superconductivity.
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Symmetry-protected adiabatic quantum transistors

TL;DR: In this paper, the performance of quantum logic gates is shown to depend only on universal symmetry properties of a symmetry-protected (SP) phase rather than any fine tuning of the Hamiltonian, and it is possible to implement a universal set of logic gates in this way by combining several different types of SP matter.
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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