Self-consistency functional equation in strongly correlated electron systems: a different approach

Ekaterina Grancharova

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Self-consistency functional equation in strongly correlated electron systems: a different approach

Ekaterina Grancharova

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Abstract

We propose a new approach to the self-consistency equation, which arises in the problem of the motion of a hole in a quantum antiferromagnet, appropriate to the case of small exchange energy $J$. The functional equation for the Green function is transformed into a differential equation; its solutions are analyzed and compared to the existing numerical calculations. This method allows one to study the limit of $J\to 0$. Application to other strongly correlated electron systems is discussed.

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Ekaterina Grancharova. 2006-04-07. Self-consistency functional equation in strongly correlated electron systems: a different approach. https://arxiv.org/abs/cond-mat/0604197

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