Journal ArticleDOI
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
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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.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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Ground-state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
Ido Niesen,Philippe Corboz +1 more
TL;DR: In this article, the ground-state phase diagram of the nearest-neighbor spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice was investigated.
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Symmetry protection of measurement-based quantum computation in ground states
TL;DR: In this article, the effect of perturbations to the ground state of a short-ranged Hamiltonian has been examined and it has been shown that, provided the perturbation is sufficiently small and respects a certain symmetry, the perturbed ground state remains a universal resource.
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Phase diagram of S=12 two-leg XXZ spin-ladder systems
TL;DR: In this article, the authors investigate the ground-state phase diagram of the two-leg $XXZ$ spin-ladder system with an isotropic interchain coupling and find out that the phase boundary between $XY$ phase and Haldane phase lies on the ∆-ensuremath{\Delta}=0$ line.
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DMRG studies of critical SU(N) spin chains
TL;DR: In this article, the DMRG method is applied to integrable models of antiferromagnetic spin chains for fundamental and higher representations of SU(2), SU(3), and SU(4).
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Symmetry-protected entanglement renormalization
Sukhwinder Singh,Guifre Vidal +1 more
TL;DR: In this paper, the use of symmetric tensors as a mechanism to build a symmetry-protected entanglement renormalization group (RG) flow has been proposed for quantum many-body systems.
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.