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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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A Proof of Part of Haldane’s Conjecture on Spin Chains
Ian Affleck,Elliott H. Lieb +1 more
TL;DR: In this article, it was shown that for all s, finite length chains have a unique ground state for a wide range of parameters, including translation and U(1) invariant, anisotropic, antiferromagnetic spin s chains.
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Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms
Sylvain de Léséleuc,Vincent Lienhard,Pascal Scholl,Daniel Barredo,Sebastian Mario Weber,Nicolai Lang,Hans Peter Büchler,Thierry Lahaye,Antoine Browaeys +8 more
TL;DR: The experimental realization of a symmetry-protected topological phase of interacting bosons in a one-dimensional lattice is reported and a robust ground state degeneracy attributed to protected zero-energy edge states is demonstrated.
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An overview of coupled cluster theory and its applications in physics
TL;DR: Coupled cluster (CC) techniques have been developed to calculate excited states, energies of open-shell systems, density matrices and hence other properties, sum rules, and sub-sum-rules that follow from imbedding linear response theory within the NCCM.
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Symmetry Fractionalization, Defects, and Gauging of Topological Phases
TL;DR: In this article, a comprehensive theory of symmetry fractionalization together with the properties of symmetry defects in topologically ordered phases of matter in two spatial dimensions was developed, and the full set of data, consistency conditions, and equivalences for a mathematical theory, known as a G-crossed braided tensor category, was introduced.
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Symmetry, Defects, and Gauging of Topological Phases
TL;DR: In this paper, the authors examined the interplay of symmetry and topological order in topological phases of matter and derived a general framework to classify symmetry fractionalization in topology phases, including phases that are non-Abelian and symmetries that permute the quasiparticle types.
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.