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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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Irreducible Projective Representations and Their Physical Applications
TL;DR: In this paper, an eigenfunction method is applied to reduce the regular projective representations (Reps) of finite groups to obtain their irreducible projective Reps, where the decoupled factor systems and modified Schur's lemma are introduced.
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Hidden Order and Dimerization Transition in S = 2 Chains
TL;DR: In this article, the ground state properties of the S = 2 quantum antiferromagnetic chain with a bond alternation were studied by a Quantum Monte Carlo calculation, and it was shown that the hidden Z 2 × Z 2 symmetry is broken for 0.3 < |δ| < 0.5 while it is unbroken in other regions.
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Mass generation by fractional instantons in SU(n ) chains
Kyle Wamer,Ian Affleck +1 more
TL;DR: In this article, the authors generalized Haldane's conjecture about SU(2) chains to SU(n$) chains in the symmetric representations and proposed an intuitive explanation of this behavior based on fractional topological excitations, which are able to generate a mass gap except when $p$ and $n$ have no common divisor.
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Magnetic properties ofCu6Ge6O18−xH2O(x=0–6):A compound ofS=1/2Heisenberg competing antiferromagnetic chains coupled by interchain interaction
TL;DR: In this article, the magnetic properties of powder samples of Cu 6 Ge 6 O 1 8 -xH 2 O (x=0-6) were studied and it was shown that a spin gap due to competing antiferromagnetic (AF) interactions exists at x 1.
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Static and Dynamic Properties of Antiferromagnetic Heisenberg Ladders: Fermionic versus Bosonic Approaches
Hiromitsu Hori,Shoji Yamamoto +1 more
TL;DR: In terms of spinless fermions via the Jordan-Wigner transformation along a snakelike path and spin waves modified so as to restore the sublattice symmetry, this paper investigated the static and dynamic pro...
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.