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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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Large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e2875" altimg="si671.svg"><mml:mi>N</mml:mi></mml:math> Chern insulators: Lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
TL;DR: In this article , a multidisciplinary approach to understand the fate of the QAH phases as the four-Fermi interactions are increased, which combines strong-coupling and effective-potential techniques, unveiling a rich phase diagram with large-$N$ Chern insulators and Lorentz-breaking fermion condensates.
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Nonzero spectral gap in several uniformly spin-2 and hybrid spin-1 and spin-2 AKLT models
TL;DR: In this article, it was shown that Affleck-Kennedy-Lieb-Tasaki models on several lattices possess a nontrivial spectral gap, including models on the singly decorated diamond lattice and singly-decorated kagome lattice, and two other two-dimensional uniformly spin-2 models.
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Interplay of Spin and Spatial Anisotropy in Low-Dimensional Quantum Magnets with Spin 1/2
TL;DR: In this article, the S = 1/2 easy-axis and easy-plane XXZ models on the square lattice even for extremely weak spin anisotropies undergo Heisenberg-Ising (Heisenberg) and X = 2/3 crossovers, respectively, acting as precursors to the onset of the finite-temperature phase transitions within the two-dimensional Ising universality class (for the easy axis anisotropy) and a topological Berezinskii-Kosterlitz-Thouless phase transition for the easy
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Thermal entanglement in the mixed three-spin XXZ Heisenberg model on a triangular cell
Seyit Deniz Han,Ekrem Aydiner +1 more
TL;DR: In this paper, the authors numerically investigated the thermal entanglement of spins (1/2, 1) and spins(1 2, 1, 1/2) on a simple triangular cell under an inhomogeneous magnetic field.
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A ${\mathbb Z}_2$-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains
TL;DR: In this paper, the authors proposed an index for the reflection symmetric unique gapped ground state phases, which is invariant to the class of SPT phases with on-site symmetries.
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.