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The Yangian Symmetry of the Hubbard Models with Variable Range Hopping

Frank Göhmann·Vladimir Inozemtsev
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Abstract

We present two pairs of Y($sl_2$) Yangian symmetries for the trigonometric and hyperbolic versions of the Hubbard model with non-nearest-neighbour hopping. In both cases the Yangians are mutually commuting, hence can be combined into a Y($sl_2$)$\oplus$Y($sl_2$) Yangian. Their mutual commutativity is of dynamical origin. The known Yangians of the Haldane-Shastry spin chain and the nearest neighbour Hubbard model are contained as limiting cases of our new representations.

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Frank Göhmann, Vladimir Inozemtsev. 1995-12-11. The Yangian Symmetry of the Hubbard Models with Variable Range Hopping. https://doi.org/10.1016/0375-9601(96)00174-0

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