Journal ArticleDOI
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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Topological phases of spin chains
TL;DR: For spin chains with symmetry invariant under a continuous onsite symmetry group, this article showed that the topological phases are in one-to-one correspondence with the elements of the fundamental group of the symmetry group.
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Non-Fermi Liquids as Ersatz Fermi Liquids: General Constraints on Compressible Metals
TL;DR: By identifying how fractional electron filling manifests in effective field theory, a new analysis offers a more general way to understand certain collective behaviors of electrons in a solid as mentioned in this paper. But the analysis is limited to the case of a single electron.
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The spectra of q-state vertex models and related antiferromagnetic quantum spin chains
TL;DR: In this paper, the authors employed inversion relations to determine directly the spectra of the transfer matrices in the thermodynamic limit by avoiding the more cumbersome Bethe Ansatz.
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SU.2/=Z2 symmetry of the BKT transition and twisted boundary condition
TL;DR: In this paper, the authors relate the operator content of the BKT transition to that of the SU(2) Wess-Zumino-Witten model, using twisted boundary conditions.
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C − P − T anomaly matching in bosonic quantum field theory and spin chains
Tin Sulejmanpasic,Yuya Tanizaki +1 more
TL;DR: In this paper, the authors consider the nonlinear sigma model with the O(3)$ term and its linear counterpart in 1+1D and show that the ground state cannot be trivially gapped, as long as translational symmetry, parity and time reversal are all good symmetries of the theory.
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.