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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Valence bond states on quantum spin chains as ground states with spectral gap
TL;DR: In this article, the authors show that every translation invariant valence bond state on a one-dimensional quantum spin chain arises as the unique ground state of a certain family of finite-range interactions.
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Gauging spatial symmetries and the classification of topological crystalline phases
TL;DR: In this paper, the theory of interacting topological crystalline phases was put on a systematic footing, and the notion of a "crystalline topological liquid" was introduced.
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Heat Capacities of the S = 1/2 Two-Dimensional Heisenberg Antiferromagnet Bis(2-amino-5-chloropyridinium) Tetrabromocuprate(II) [(5CAP)2CuBr4] and Its Diamagnetic Analogue [(5CAP)2ZnBr4]‖
Tetsuya Matsumoto,Yuji Miyazaki,A. S. Albrecht,Christopher P. Landee,and Mark M. Turnbull,Michio Sorai +5 more
TL;DR: In this article, the heat capacities of the spin quantum number S = 1/2 two-dimensional Heisenberg antiferromagnet bis(2-amino-5-chloropyridinium) tetrabromocuprate(II) [(5CAP)2CuBr4] crystal and its nonmagnetic analog were investigated.
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Coherent spin control of s-, p-, d- and f-electrons in a silicon quantum dot
R. C. C. Leon,Chih Hwan Yang,J. C. C. Hwang,J. C. C. Hwang,J. Camirand Lemyre,Tuomo Tanttu,W. Huang,Kok Wai Chan,Kuan Yen Tan,Fay E. Hudson,Kohei M. Itoh,Andrea Morello,Arne Laucht,Michel Pioro-Ladrière,Michel Pioro-Ladrière,Andre Saraiva,Andrew S. Dzurak +16 more
TL;DR: In this article, an electrostatically confined quantum dot was observed to reveal a well defined shell structure, and four shells (31 electrons) with multiplicities given by spin and valley degrees of freedom were found to be potential qubits.
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Evolution of electronic structure with dimensionality in divalent nickelates
TL;DR: In this article, the evolution of electronic structure with dimensionality (d) of Ni-O-Ni connectivity in divalent nickelates, NiO (3-d), La2NiO4, Pr2NiOs4, Y2BaNiO5 (1-d) and Lu 2BaNi5 (0-d).
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.