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Dynamics of a hole in the large--U Hubbard model: a Feynman diagram approach

C. Zhou·H. J. Schulz
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Abstract

We study the dynamics of a single hole in an otherwise half--filled two--dimensional Hubbard model by introducing a nonlocal Bogolyubov transformation in the antiferromagnetic state. This allows us to rewrite the Hamiltonian in a form that makes a separation between high--energy processes (involving double--occupancy) and low--energy physics possible. A diagrammatic scheme is developped that allows for a systematic study of the different processes delocalizing a carrier in the antiferromagnetic state. In particular, the so--called Trugman process, important if transverse spin fluctuations are neglected, is studied and is shown to be dominated by the leading vertex corrections. We analyze the dynamics of a single hole both in the Ising limit and with spin fluctuations. The results are compared with previous theories as well as with recent exact small--cluster calculations, and we find good agreement. The formalism establishes a link between weak and strong coupling methodologies.

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C. Zhou, H. J. Schulz. 1994-02-22. Dynamics of a hole in the large--U Hubbard model: a Feynman diagram approach. https://doi.org/10.1051/jp1%3A1995182

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