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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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Scrutinizing the pion condensed phase
TL;DR: In this paper, a low-density expansion of the chiral Lagrangian valid close to the onset of the Bose-Einstein condensation is presented, and the robustness of the second-order transition between the normal and the pion condensed phase when next-to-leading-order chiral corrections are included.
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Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems
TL;DR: In this paper, the Lieb-Schultz-Mattis (LSM) theorem holds for a spin system with translation and spin rotation symmetry and half-integer spin per unit cell, but the ground state must be gapless, spontaneously break a symmetry, or be a gapped spin liquid.
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Ground-State and Thermodynamic Properties of the Quantum Mixed Spin-1/2-1/2-1-1 Chain
Takashi Tonegawa,Toshiya Hikihara,Makoto Kaburagi,Tomotoshi Nishino,Seiji Miyashita,H. J. Mikeska +5 more
TL;DR: In this paper, the ground state and thermodynamic properties of the 1/2-1/2/1/1-1 chain described by the Hamiltonian were investigated both analytically and numerically.
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Critical properties and Renyi entropies of the spin-3/2 XXZ chain
TL;DR: In this paper, the sound velocity and the Luttinger parameter of the spin-3/2 XXZ chain were determined as a function of the anisotropy parameter, and the behavior of Renyi entropies under both open and periodic boundary conditions.
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High-field magnetization of one-dimensional S=1/2 trimer system 3CuCl2.2dioxane
TL;DR: In this article, the high-field magnetization process of a one-dimensional S = 1/2 trimer system, 3CuCl 2 ·2dioxane, was studied on powder samples using a pulse magnet up to 30 T between 1.5 K and 9 K.
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.