Diagram analysis of the Hubbard model: Stationarity property of the thermodynamic potential |
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Authors: | V A Moskalenko L A Dohotaru and I D Cebotari |
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Institution: | 1.Institute of Applied Physics,Moldova Academy of Sciences,Chisinau,Moldova;2.Joint Institute for Nuclear Research,Dubna,Russia;3.Technical University,Chisinau,Moldova |
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Abstract: | The diagram approach proposed many years ago for the strongly correlated Hubbard model is developed with the aim to analyze
the thermodynamic potential properties. A new exact relation between renormalized quantities such as the thermodynamic potential,
the one-particle propagator, and the correlation function is established. This relation contains an additional integration
of the one-particle propagator with respect to an auxiliary constant. The vacuum skeleton diagrams constructed from the irreducible
Green’s functions and tunneling propagator lines are determined and a special functional is introduced. The properties of
this functional are investigated and its relation to the thermodynamic potential is established. The stationarity property
of this functional with respect to first-order variations of the correlation function is demonstrated; as a consequence, the
stationarity property of the thermodynamic potential is proved. |
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Keywords: | |
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