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On the Absence of Non-Periodic Ground States for the Antiferromagnetic XXZ Model

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Abstract

We prove that the antiferromagnetic XXZ model with Ising-like anisotropy on a one-dimensional lattice does not have non-periodic ground states.

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Authors and Affiliations

  1. Graduate School of Mathematics, Kyushu University, 1-10-6 Hakozaki, Fukuoka, 812-8581, Japan

    Taku Matsui

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  1. Taku Matsui
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Correspondence to Taku Matsui.

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Communicated by M. Aizenman

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Matsui, T. On the Absence of Non-Periodic Ground States for the Antiferromagnetic XXZ Model. Commun. Math. Phys. 253, 585–609 (2005). https://doi.org/10.1007/s00220-004-1236-y

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  • DOI: https://doi.org/10.1007/s00220-004-1236-y

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