Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-05-09
Phys. Rev. B61, 1643 (2000)
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages RevTeX, with minor corrections (Introduction and Conclusions are rewritten, new references are added), to appear in Ph
Scientific paper
10.1103/PhysRevB.61.1643
General expressions for the contributions of the Van Hove singularity (VHS)in the electron density of states to the thermodynamic potential $\Omega are obtained in the framework of microscopic Fermi liquid theory. The renormalization of the singularities in $\Omega connected with the Lifshitz electronic topological transition (ETT) is found. Screening anomalies due to virtual transitions between VHS and the Fermi level are considered. It is shown that, in contrast with the one-particle picture of ETT, the singularities in $\Omega turns out to be two-sided for interacting electrons.
Katsnelson Mikhail I.
Trefilov A. V.
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