One-Dimensional Chain of Anisotropic Spin-Spin Interactions. I. Proof of Bethe's Hypothesis for Ground State in a Finite System

C. N. Yang and C. P. Yang
Phys. Rev. 150, 321 – Published 7 October 1966
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Abstract

Bethe's hypothesis is proved for the ground state of a one-dimensional cyclic chain of anisotropic nearest-neighbor spin-spin interactions. The proof holds for any fixed number of down spins.

  • Received 8 April 1966

DOI:https://doi.org/10.1103/PhysRev.150.321

©1966 American Physical Society

Authors & Affiliations

C. N. Yang

  • Institute for Advanced Study, Princeton, New Jersey and State University of New York, Stony Brook, New York

C. P. Yang

  • Physics Department, Ohio State University, Columbus, Ohio

See Also

One-Dimensional Chain of Anisotropic Spin-Spin Interactions. II. Properties of the Ground-State Energy Per Lattice Site for an Infinite System

C. N. Yang and C. P. Yang
Phys. Rev. 150, 327 (1966)

One-Dimensional Chain of Anisotropic Spin-Spin Interactions. III. Applications

C. N. Yang and C. P. Yang
Phys. Rev. 151, 258 (1966)

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Vol. 150, Iss. 1 — October 1966

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