Competing phases in the extended (formula presented) Hubbard model near the Van Hove fillings

A. A. Katanin, A. P. Kampf

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1 Citation (Scopus)


The phase diagram of the two-dimensional extended one-band (formula presented) Hubbard model is considered within a mean-field approximation and two- and many-patch renormalization-group (RG) approaches near the Van Hove band fillings. At small (formula presented) and (formula presented) mean-field and many-patch RG approaches give similar results for the leading spin-density-wave (SDW) instability, while the two-patch RG approach that predicts a wide region of charge-flux (CF) phase becomes unreliable due to nesting effect. There is a complex competition between SDW, CF phases, and d-wave superconductivity at small (formula presented) in two- and many-patch RG approaches. The spin-flux phase, which is not stable at the mean-field level, is identified as a possible ground state at (formula presented) in both RG approaches. With increasing (formula presented) the results of all three approaches merge: d-wave superconductivity at (formula presented) and ferromagnetism at (formula presented) become the leading instabilities. For large enough V, the charge-density-wave state occurs.

Original languageEnglish
Number of pages1
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
Publication statusPublished - 2003
Externally publishedYes


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