Functional Integrals for Correlated Fermions

Details Functional Integrals for Correlated Fermions Functional Integrals for Correlated Fermions

1994-11-16

arxiv.org/abs/cond-mat/9411059v1

Physics

Condensed Matter

10 pages, LaTeX2e, 3 postscript figures appended via uufiles

Scientific paper

10.1007/BF00752352

Functional integral methods provide a way to define mean--field theories and to systematically improve them. For the Hubbard model and similar strong--correlation problems, methods based in particular on the Hubbard--Stratonovich transformation have however been plagued by difficulties to formulate the problem in a spin--rotation invariant way. Here a formalism circumventing this problem by using a space-- and time--dependent spin reference axis is discussed. This formulation is then used to suggest a possible alternative to Nagaoka ferromagnetism in the strongly correlated Hubbard model in the vicinity of half--filling. Finally, some aspects of single--particle spectra in a simplified model for a short--range ordered antiferromagnet are discussed.

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