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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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Magnetically ordered molecule-based assemblies.

TL;DR: The targeted design, preparation, and chemical as well as magnetic characterization of a new family of magnets based on S = 3/2 mixed-valent [Ru(II/III)2(O2CR)4]+ (R = Me, Bu(t)) is described, which exhibit hysteretic behavior, however, this is quite anomalous for the former cubic lattice.
Journal ArticleDOI

Topological phases protected by point group symmetry

TL;DR: In this article, the symmetry protected topological (SPT) phases with crystalline point group symmetry, dubbed point group SPT (pgSPT), were considered and a general framework to classify and characterize bosonic and fermionic pgSPT phases was proposed.
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Boundary states as holographic duals of trivial spacetimes

TL;DR: In this paper, the authors studied real-space entanglement included in conformally invariant boundary states in conformal field theories (CFTs) and showed that boundary states essentially have no real-time entenglement, except for constant contributions from long range topological entenganglement.
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Neutron scattering study of the two-dimensional spin S=1/2 square-lattice Heisenberg antiferromagnet Sr2CuO2Cl2

TL;DR: In this paper, the static structure factor in the two-dimensional spinS = 1/2 square-lattice Heisenberg antiferromagnet Sr2CuO2Cl2 was investigated.
Posted Content

Provably efficient machine learning for quantum many-body problems.

TL;DR: It is proved that classical ML algorithms can efficiently predict ground state properties of gapped Hamiltonian in finite spatial dimensions, after learning from data obtained by measuring other Hamiltonians in the same quantum phase of matter.
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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