Origin of strong dispersion in Hubbard insulators

Using cluster perturbation theory, we explain the origin of the strongly dispersive feature found at high binding energy in the spectral function of the Hubbard model. By comparing the Hubbard and t - J - 3s model spectra, we show that this dispersion does not originate from either coupling to spin...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2015-08, Vol.92 (7), Article 075119
Main Authors: Wang, Y., Wohlfeld, K., Moritz, B., Jia, C. J., van Veenendaal, M., Wu, K., Chen, C.-C., Devereaux, T. P.
Format: Article
Language:English
Subjects:
Clusters
Condensed matter
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Dispersions
Fluctuation
Insulators
Origins
Perturbation theory
Spectra
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Summary:Using cluster perturbation theory, we explain the origin of the strongly dispersive feature found at high binding energy in the spectral function of the Hubbard model. By comparing the Hubbard and t - J - 3s model spectra, we show that this dispersion does not originate from either coupling to spin fluctuations ([is proportional to] J) or the free hopping ([is proportional to] t). Instead, it should be attributed to a long-range, correlated hopping [is proportional to] t super(2)/U, which allows an effectively free motion of the hole within the same antiferromagnetic sublattice. This origin explains both the formation of the high-energy anomaly in the single-particle spectrum and the sensitivity of the high-binding-energy dispersion to the next-nearest-neighbor hopping t'.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.92.075119