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Shadow band in the one-dimensional large $U$ Hubbard model

Karlo Penc·Karen Hallberg·Frederic Mila·Hiroyuki Shiba
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Abstract

We show that the factorized wave-function of Ogata and Shiba can be used to calculate the $k$ dependent spectral functions of the one-dimensional, infinite $U$ Hubbard model, and of some extensions to finite $U$. The resulting spectral function is remarkably rich: In addition to low energy features typical of Luttinger liquids, there is a well defined band, which we identify as the shadow band resulting from $2k_F$ spin fluctuations. This band should be detectable experimentally because its intensity is comparable to that of the main band for a large range of momenta.

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Karlo Penc, Karen Hallberg, Frederic Mila, Hiroyuki Shiba. 1995-12-22. Shadow band in the one-dimensional large $U$ Hubbard model. https://doi.org/10.1103/physrevlett.77.1390

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