Exact result for the Green’s function of a two-dimensional interacting electron gas with spin–orbit interaction in a perpendicular magnetic field

by: Chao Li

Journal of Physics: Condensed Matter, Vol. 20, No. 33. (2008), 335211.

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Abstract

An exact property is established for the Green's function of a uniform two-dimensional interacting electron gas in a perpendicular magnetic field with spin-orbit interaction. It is shown that the spin-diagonal Green's function is exactly diagonal in the Landau level index even in the presence of electron-electron interactions. For the Green's function with different spin indexes, only that with adjacent Landau level indexes is non-zero. This exact result should be helpful in calculating the Green's function approximately.

@article{citeulike:3032898, abstract = {An exact property is established for the Green's function of a uniform two-dimensional interacting electron gas in a perpendicular magnetic field with spin-orbit interaction. It is shown that the spin-diagonal Green's function is exactly diagonal in the Landau level index even in the presence of electron-electron interactions. For the Green's function with different spin indexes, only that with adjacent Landau level indexes is non-zero. This exact result should be helpful in calculating the Green's function approximately.}, author = {Li, Chao }, citeulike-article-id = {3032898}, doi = {10.1088/0953-8984/20/33/335211}, journal = {Journal of Physics: Condensed Matter}, keywords = {transport}, number = {33}, pages = {335211+}, posted-at = {2008-07-22 15:35:22}, priority = {2}, title = {Exact result for the Green\’s function of a two-dimensional interacting electron gas with spin\–orbit interaction in a perpendicular magnetic field}, url = {http://dx.doi.org/10.1088/0953-8984/20/33/335211}, volume = {20}, year = {2008} }

RIS record

TY - JOUR ID - citeulike:3032898 L3 - citeulike-article-id:3032898 TI - Exact result for the Green’s function of a two-dimensional interacting electron gas with spin–orbit interaction in a perpendicular magnetic field JF - Journal of Physics: Condensed Matter VL - 20 IS - 33 SP - 335211 N2 - An exact property is established for the Green's function of a uniform two-dimensional interacting electron gas in a perpendicular magnetic field with spin-orbit interaction. It is shown that the spin-diagonal Green's function is exactly diagonal in the Landau level index even in the presence of electron-electron interactions. For the Green's function with different spin indexes, only that with adjacent Landau level indexes is non-zero. This exact result should be helpful in calculating the Green's function approximately. KW - transport AU - Li, Chao PY - 2008/// UR - http://dx.doi.org/10.1088/0953-8984/20/33/335211 ER -

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