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 of the random-bond spin-1 Heisenberg chain
TL;DR: In this paper, the ground state of the antiferromagnetic spin-1 Heisenberg chain with bond disorder was studied using quantum Monte Carlo (QMC) for the first time.
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Algebraic and group structure for bipartite anisotropic Ising model on a non-local basis
TL;DR: In this paper, a general bipartite anisotropic Ising model including an inhomogeneous magnetic field is analyzed in a non-local basis, and the evolution is expressed in the Bell basis, it shows a regular block structure suggesting a SU(2) decomposition.
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Topological incommensurate magnetization plateaus in quasi-periodic quantum spin chains.
TL;DR: It is demonstrated that the topological invariant of the plateau state can be read out from a generalized Streda formula and the spin-flip excitation spectrum exhibits a similar structure of the Hofstadter's butterfly spectrum for the two-dimensional quantum Hall system on a lattice.
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Multi Hamilton-Jacobi quantization of O(3) nonlinear sigma model
Dumitru Baleanu,Yurdahan Güler +1 more
TL;DR: In this paper, the O(3) sigma model is investigated using multi-Hamilton-Jacobi formalism and integrability conditions are investigated and the results are in agreement with those obtained by Dirac's method.
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Single-Copy Entanglement in a Gapped Quantum Spin Chain
TL;DR: This Letter shows that for the paradigmatic spin-S Affleck-Kennedy-Lieb-Tasaki chain (the archetypal gapped chain), the single-copy entanglement is equal to the von Neumann entropy; i.e., all theEntanglement present may be distilled from a single specimen.
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.