Journal ArticleDOI
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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The gauged O(3) sigma model: Schrödinger representation and Hamilton–Jacobi formulation
TL;DR: In this paper, a free particle on an (n−1)-sphere in an extended phase space was studied, where the originally second-class Hamiltonian and constraints are now in strong involution.
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Finite and infinite matrix product states for Gutzwiller projected mean-field wave functions
TL;DR: In this article, the ground state of an arbitrary fermionic quadratic mean-field Hamiltonian (which in the simplest case is a Slater determinant and in the most general case is an Pfaffian) is represented by matrix product states (MPSs).
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Haldane phases with ultracold fermionic atoms in double-well optical lattices
TL;DR: In this article, the authors propose to realize one-dimensional topological phases protected by symmetry using alkali or alkaline-earth atoms loaded into a bichromatic optical lattice, and derive a realistic model for this system and investigate it theoretically.
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Lieb-Schultz-Mattis-type filling constraints in the 1651 magnetic space groups
TL;DR: In this article, the electron filling alone is sometimes sufficient to eliminate the possibility of featureless insulators, since the material with a certain filling must exhibit either spontaneous symmetry breaking with concomitant gapless excitations or fractionalization.
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Bilayer Graphene as a Platform for Bosonic Symmetry-Protected Topological States
TL;DR: It is proposed that a two-dimensional BSPT state with U(1)×U( 1) symmetry can be realized in bilayer graphene in a magnetic field and only bosonic modes close their gap at the transition, which is fundamentally different from all the well-known topological insulator to trivial insulator transitions that occur for free fermion systems.
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.