Magnetic Phase Diagram of Hubbard Model in Three Dimensions: the Second-Order Local Approximation

Physics – Condensed Matter

Scientific paper

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plain tex, 16 pages, 5 Postscript figures

Scientific paper

10.1103/PhysRevB.55.942

A local, second-order (truncated) approximation is applied to the Hubbard model in three dimensions. Lowering the temperature, at half-filling, the paramagnetic ground state becomes unstable towards the formation of a commensurate spin-density-wave (SDW) state (antiferromagnetism) and sufficiently far away from half-filling towards the formation of incommensurate SDW states. The incommensurate-ordering wavevector does not deviate much from the commensurate one, which is in accord with the experimental data for the SDW in chromium alloys.

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