Large-N expansion based on the Hubbard-operator path integral representation and its application to the $t-J$ model

Details Large-N expansion based on the Hubbard-operator path integral representation and its application to the $t-J$ model Large-N expansion based on the Hubbard-operator path integral representation and its application to the $t-J$ model

2002-03-12

arxiv.org/abs/cond-mat/0203258v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 3 figures, Phys.Rev.B (in press)

Scientific paper

10.1103/PhysRevB.65.195107

In the present work we have developed a large-N expansion for the $t-J$ model based on the path integral formulation for Hubbard-operators. Our large-N expansion formulation contains diagrammatic rules, in which the propagators and vertex are written in term of Hubbard operators. Using our large-N formulation we have calculated, for J=0, the renormalized $O(1/N)$ boson propagator. We also have calculated the spin-spin and charge-charge correlation functions to leading order 1/N. We have compared our diagram technique and results with the existing ones in the literature.

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