Long-range orbital order in a degenerate-orbital Hubbard model: absence in low-dimensions

Physics

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Scientific paper

We investigate the possibility of long range orbital order in low- dimensional systems. The study is performed within a two-orbital Hubbard model by means of the Bogoliubov's inequality. We show that, in one- and two-dimensions, and when a narrow conduction band is concerned, this model does not exhibit orbital order at any filling and any finite temperature.

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