Solutions to the Multi-Component 1/R Hubbard Model

Details Solutions to the Multi-Component 1/R Hubbard Model Solutions to the Multi-Component 1/R Hubbard Model

1993-05-31

arxiv.org/abs/cond-mat/9305042v1

Physics

Condensed Matter

9 pages, revtex, Princeton-May12

Scientific paper

10.1103/PhysRevB.48.10556

In this work we introduce one dimensional multi-component Hubbard model of 1/r hopping and U on-site energy. The wavefunctions, the spectrum and the thermodynamics are studied for this model in the strong interaction limit $U=\infty$. In this limit, the system is a special example of $SU(N)$ Luttinger liquids, exhibiting spin-charge separation in the full Hilbert space. Speculations on the physical properties of the model at finite on-site energy are also discussed.

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