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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Interacting symmetry-protected topological phases out of equilibrium
Max McGinley,Nigel R. Cooper +1 more
TL;DR: In this article, the authors make use of concepts and methods from the theory of topological phases to understand the dynamics of generic quantum many-body systems undergoing unitary time-evolution.
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Geometry of reduced density matrices for symmetry-protected topological phases
TL;DR: Tsinghua Univ, Dept Phys, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China as discussed by the authors Tsinghua-edu, Inst Adv Study.
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Improved Bounds on the Spectral Gap Above Frustration-Free Ground States of Quantum Spin Chains
Wolfgang Spitzer,Shannon Starr +1 more
TL;DR: In this article, Nachtergaele obtained explicit lower bounds for the spectral gap above many frustration-free quantum spin chains by using the Martingale method and presented simple improvements to his main bounds which allow one to obtain a sharp lower bound for the spectral gap above the spin-1/2 ferromagnetic XXZ chain.
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Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
TL;DR: In this paper, it was shown that massless massive adjoint QCD with one massless adjoint Majorana fermion has a variety of mixed 't Hooft anomalies, which are derived using a recent mod $2$ index theorem and its generalization that incorporates t Hooft flux.
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Antiferromagnetism in a family of S=1 square lattice coordination polymers NiX2(pyz)2 (X=Cl, Br, I, NCS; pyz=Pyrazine)
Junjie Liu,Paul Goddard,John Singleton,Jamie Brambleby,Francesca Foronda,J. S. Möller,Yoshimitsu Kohama,Saman Ghannadzadeh,Arzhang Ardavan,Stephen J. Blundell,Tom Lancaster,Fan Xiao,Robert Williams,Francis L. Pratt,Peter J. Baker,Keola Wierschem,Saul H. Lapidus,Kevin H. Stone,Peter W. Stephens,Jesper Bendix,Toby J. Woods,Kimberly E. Carreiro,Hope E. Tran,Cecelia J. Villa,Jamie L. Manson +24 more
TL;DR: The crystal structures of NiX2(pyz)2 (X = Cl, Br, I, and NCS), which consist of two-dimensional square arrays self-assembled from octahedral NiN4X2 units that are bridged by pyz ligands, were determined by synchrotron X-ray powder diffraction.
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.