Journal ArticleDOI
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
Reads0
Chats0
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
Citations
More filters
Journal ArticleDOI
Exact solution of new integrable nineteen-vertex models and quantum spin-1 chains
TL;DR: In this paper, it is argued that one of the non-critical Hamiltonians is a realization of an integrable Haldane system and the finite-size spectra of the critical Hamiltonians deviate in their structure from standard predictions by conformal invariance.
Journal ArticleDOI
Controlling the phase diagram of finite spin-1/2 chains by tuning the boundary interactions
TL;DR: In this article, a controllable spin wire (CSW) was constructed, in which the Hamiltonians on the boundaries were tuned as tuning Hamiltonians (TH's), which can trigger non-trivial controlling of the bulk properties, including the degeneracy of energy/entanglement spectra, and the response to the magnetic field.
Book ChapterDOI
Investigation of One- and Two-Dimensional Quantum Spin Systems by Monte Carlo Simulations
TL;DR: In this paper, a path-integral approach based on the Trotter formula is proposed to simulate quantum spin systems with nearest neighbor interaction, where the spin system is mapped into the limit of a sequence of classical spin systems.
Book ChapterDOI
Spin wave analysis of heisenberg magnets in restricted geometries
Nedko B. Ivanov,Diptiman Sen +1 more
TL;DR: In this article, the main ingredients of the spin-wave technique using as a working model the two-leg mixed-spin ferrimagnetic ladder and the Dyson Maleev boson formalism up to second order in the spinwave interaction are introduced.
Journal ArticleDOI
Magnetic excitations in quasi one-dimensional antiferromagnets
TL;DR: In this article, the authors describe the neutron scattering experiments on quasi one-dimensional antiferromagnets of ABX3 type and compare them with the conventional triple axis spectroscopy.
References
More filters
Journal ArticleDOI
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
Journal ArticleDOI
On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain
Journal ArticleDOI
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.
Journal ArticleDOI
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.