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Ground-state energies of the nonlinear sigma model and the Heisenberg spin chains (1989)

Zhang, Shoucheng ; Ziman, Timothy ; Schulz, H. J.

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Publication Date: 2019-07-12

Description: A 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.

Keywords: PHYSICS (GENERAL)

Type: Physical Review Letters (ISSN 0031-9007); 63; 1110-111

Format: text

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