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Ground-state energies of the nonlinear sigma model and the Heisenberg spin chainsA theorem on the O(3) nonlinear sigma model with the topological theta term is proved, which states that the ground-state energy at theta = pi is always higher than the ground-state energy at theta = 0, for the same value of the coupling constant g. Provided that the nonlinear sigma model gives the correct description for the Heisenberg spin chains in the large-s limit, this theorem makes a definite prediction relating the ground-state energies of the half-integer and the integer spin chains. The ground-state energies obtained from the exact Bethe ansatz solution for the spin-1/2 chain and the numerical diagonalization on the spin-1, spin-3/2, and spin-2 chains support this prediction.
Document ID
19890064850
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Zhang, Shoucheng
(California Univ. Santa Barbara, CA, United States)
Schulz, H. J.
(California Univ. Santa Barbara, CA, United States)
Ziman, Timothy
(California, University Santa Barbara, United States)
Date Acquired
August 14, 2013
Publication Date
September 4, 1989
Publication Information
Publication: Physical Review Letters
Volume: 63
ISSN: 0031-9007
Subject Category
Physics (General)
Accession Number
89A52221
Funding Number(s)
CONTRACT_GRANT: NSF DMR-85-17276
CONTRACT_GRANT: NSF PHY-82-17853
CONTRACT_GRANT: NSF DMR-88-13852
Distribution Limits
Public
Copyright
Other

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