Diagrammatic quantum field formalism for localized electrons

Details Diagrammatic quantum field formalism for localized electrons Diagrammatic quantum field formalism for localized electrons

2007-10-26

arxiv.org/abs/0710.5000v1

Physics

Condensed Matter

Other Condensed Matter

13 pages, 0 figures

Scientific paper

10.1103/PhysRevB.78.195117

We introduce a diagrammatic quantum field formalism for the evaluation of normalized expectation values of operators, and suitable for systems with localized electrons. It is used to develop a convergent series expansion for the energy in powers of overlap integrals of single-particle orbitals. This method gives intuitive and practical rules for writing down the expansion to arbitrary order of overlap, and can be applied to any spin configuration and to any dimension. Its applicability for systems with well localized electrons has been illustrated with examples, including the two-dimensional Wigner crystal and spin-singlets in the low-density electron gas.

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