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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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Quantum spin systems for measurement-based quantum computation
TL;DR: In this paper, a pedagogical treatment on the basics of quantum computation is given, and some selected developments beyond graph states, including Affleck-Kennedy-Lieb-Tasaki states and more recent 2D symmetry-protected topological states.
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High-Field Phase Transitions in Integrable Quantum Spin Chains
Hirohito Kiwata,Yasuhiro Akutsu +1 more
TL;DR: In this paper, the integrable SU(M ) and SU q (M ) quantum spin chains in the high-magnetic-field region at zero temperature were studied and shown to undergo second-order phase transitions at two different fields.
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Quantum phase transitions of spin chiral nanotubes
TL;DR: In this paper, the ground-state properties of spin-1/2 antiferromagnetic spin chiral nanotubes with the spatial modulation in the spin-spin interaction were investigated.
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Holographic spin networks from tensor network states
TL;DR: In this paper, the authors describe how to lift the MERA representation of the ground state of a generic one dimensional (1D) local Hamiltonian, which has a global on-site symmetry, to dual quantum states of a 2D "bulk" lattice on which the symmetry appears gauged.
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PhD Thesis: Searching for an emergent SU(4) symmetry in real materials
TL;DR: In this paper, the strong spin-orbit coupling in transition metal compounds with edge-sharing anion octahedra has been shown to give rise to strongly bond-dependent and apparently symmetry-breaking hopping between the $J_textrm{eff}=3/2$ quartets.
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.