Aryasetiawan Ferdi, Biermann Silke
Graduate School of Advanced Integration Science, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba-shi, Chiba 263-8522, Japan. Research Institute for Computational Sciences, AIST, 1-1-1 Umezono, Tsukuba Central 2, Tsukuba, Ibaraki 305-8568, Japan. Japan Science and Technology Agency, CREST, Japan.
J Phys Condens Matter. 2009 Feb 11;21(6):064232. doi: 10.1088/0953-8984/21/6/064232. Epub 2009 Jan 20.
The Hedin equations for the electron self-energy and the vertex were originally derived for a many-electron system with Coulomb interaction (Hedin 1965 Phys. Rev. 139 A796). Here, we present a generalized set of Hedin equations for quantum many-body systems containing spin-dependent interactions, e.g. spin-orbit and spin-spin interactions. The corresponding spin-dependent GW approximation is constructed. This work should open the way to describing the interplay of correlations and spin-dependent interactions in systems such as quantum dots or wires, as well as in interface and surface problems.
