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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String correlation functions of the spin-1/2 Heisenberg XXZ chain
TL;DR: For the spin-1/2 XXZ Heisenberg chain at zero temperature and in the thermodynamic limit, this paper obtained exact results from Bethe Ansatz and exact diagonalization, whereas in the large distance limit, field-theoretical arguments yield an asymptotic algebraic decay.
Journal ArticleDOI
Bohr-Sommerfeld Quantization of Spin Hamiltonians
Anupam Garg,Michael Stone +1 more
TL;DR: The Bohr-Sommerfeld rule for a spin system is obtained, including the first quantum corrections, and it is tested for various models, and found to agree very well with exact results.
Journal ArticleDOI
Excitation Spectrum of the Spin-1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain:
TL;DR: In this paper, the energy spectrum of the spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain was analyzed from the viewpoint of the sparsification.
DissertationDOI
Probing Topological Floquet-Bands and Quantum Magnetism with Ultracold Fermions
TL;DR: In this paper, an effective Hamiltonian model for complex many-body systems is presented, using ultracold fermionic 40K atoms in a lattice with a flexible geometry, formed by interfering laser beams.
Dissertation
Variational renormalization group methods for extended quantum systems
TL;DR: Thesis submitted in fulfillment of the requirements for the degree of Doctor (Ph.D.) in Sciences: Physics as discussed by the authors, was submitted in fulfilment of the requirement of the degree.
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.
Journal ArticleDOI
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.