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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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Chirally Stabilized Critical State in Marginally Coupled Spin and Doped Systems
TL;DR: In this article, a class of one-dimensional models consisting of a frustrated (N+1)-leg spin ladder, its asymmetric doped version as a special example of a Luttinger liquid in an active environment, and the N-channel Kondo-Heisenberg model away from half-filling was studied.
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Heisenberg spins on an infinite cylinder: a geometrical effect of anisotropy
TL;DR: In this paper, the authors investigated the lowest energy levels of non-trivial spin distributions belonging to different homotopy classes and their dependence on the geometry of a cylinder, and they showed that the equidistant energy levels are independent of geometry for isotropic spin systems.
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Exact ground states of one-dimensional quantum systems: matrix product approach
TL;DR: In this paper, a matrix-product ground state approach was used to solve a few one-dimensional quantum systems, including a frustrated spin, a Heisenberg ladder, the ferromagnetic t-J-V model at half-filling, and the antiferromagnetic Jz-V models at 2 3 filling.
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Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice
TL;DR: In this article, the authors determined the single-particle and twoparticle spectrum of the three-state quantum Potts model on a lattice by using the density matrix renormalization group method, and extracted information on the asymptotic (small momentum) S-matrix of the quasiparticles.
Posted Content
From trivial to topological paramagnets: The case of $\mathbb{Z}_2$ and $\mathbb{Z}_2^3$ symmetries in two dimensions
TL;DR: In this paper, the phase diagram of Hamiltonians interpolating between trivial and non-trivial bosonic symmetry-protected topological phases, protected by $\mathbb{Z}_2$ and $1.3$ symmetries, in two dimensions is mapped using quantum Monte Carlo simulations.
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.