Ground state criteria in one-dimensional antiferromagnetic Ising model with long range interaction
Date
2020
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Source Title
Journal of Mathematical Physics
Print ISSN
0022-2488
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Publisher
American Institute of Physics Inc.
Volume
61
Issue
4
Pages
043301-1 - 043301-5
Language
English
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Abstract
One-dimensional long-range Ising models with antiferromagnetic, convex pair interactions are investigated. A new criterion characterizing ground states is given. The criterion and a new transformation yield short proofs identifying and characterizing the ground states. The uniqueness of periodic ground states up to shifts is shown.