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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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Detection of symmetry-protected topological order in AKLT states by exact evaluation of the strange correlator
Keola Wierschem,Kevin Beach +1 more
TL;DR: In this paper, the concept of the strange correlator loop winding number has been introduced for lattices with chain, square, honeycomb, cube, diamond, and hyperhoneycomb geometries.
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Universal Nonequilibrium Signatures of Majorana Zero Modes in Quench Dynamics
TL;DR: In this paper, it was shown that the quantum quench, a rapid change in the parameters of a quantum system, leads to universal signatures in the evolution of the many-electron wave function that may be accessible in experiments.
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Instantons in chiral magnets
Masaru Hongo,Masaru Hongo,Toshiaki Fujimori,Tatsuhiro Misumi,Tatsuhiro Misumi,Muneto Nitta,Norisuke Sakai +6 more
TL;DR: In this paper, the authors exhaustively construct instanton solutions and elucidate their properties in one-dimensional antiferromagnetic chiral magnets based on the nonlinear sigma model description of spin chains with the Dzyaloshinskii-Moriya (DM) interaction.
Classical simulation of quantum many-body systems
TL;DR: In this paper, it was shown that an area law for entanglement does not always imply efficient tensor network representations of ground states of 2+D local Hamiltonians even in the presence of translational invariance.
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2D Multipartite Valence Bond States in Quantum Antiferromagnets
Enrique Rico,Hans J. Briegel +1 more
TL;DR: In this article, a quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: i) the Hamiltonian is made out of nearest neighbor interactions.
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.