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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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Universal spin dynamics in infinite-temperature one-dimensional quantum magnets

TL;DR: Dupont et al. as discussed by the authors investigated the algebraic long-time decay of the spin-spin correlation function at infinite temperature, using state-of-the-art simulations based on tensor network methods.
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Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics

TL;DR: In this article, the authors studied finite-temperature dynamical quantum phase transitions (DQPTs) by means of the fidelity and the interferometric Loschmidt echo (LE) induced metrics.
Journal ArticleDOI

Competing order in the mixed state of high-temperature superconductors

TL;DR: In this article, the authors examined the low-temperature behavior of a layered superconductor in the vicinity of a quantum critical point separating a pure superconducting phase from a phase in which a competing order coexists with superconductivity.
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Field-Induced Magnetic Long-Range Order in the Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain System (CH3)2CHNH3CuCl3 Observed by Specific Heat Measurements.

TL;DR: In this article, the authors performed specific heat measurements over a temperature range from 0.5 to 5 K applying H up to 12 T and found a λ-type anomaly of specific heat over 10∼12 T, which indicates a transition to the 3D long range order.
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Zigzag spin chains with antiferromagnetic-ferromagnetic interactions: Transfer-matrix renormalization group study

TL;DR: In this paper, the properties of the zigzag spin chains with various nearest neighbor and next-neighbor interactions were studied by making use of the transfer-matrix renormalization group method.
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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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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