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Periodic Ground State Configurations in a One-Dimensional Hubbard Model of Statistical Mechanics

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Abstract

This paper considers an averaging procedure for the description of a particles arrangement in a Hubbard model with antiferromagnetic interactions. The arrangements are described by the devil's staircase. Completeness of the staircase is proved.

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Kipnis, M.M. Periodic Ground State Configurations in a One-Dimensional Hubbard Model of Statistical Mechanics. Mathematical Physics, Analysis and Geometry 3, 101–115 (2000). https://doi.org/10.1023/A:1009822530189

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