Exact diagonalization of the interacting propagator for the 2D electron gas in a magnetic field

A. Burke and Alejandro Cabo

Physica A: Statistical Mechanics and its Applications, 1991, vol. 173, issue 1, 281-292

Abstract: The spatial dependence of the exact one electron propagator for an interacting 2D electron gas in a magnetic field is shown to be the same as for a non-interacting gas. This happens whenever the translational symmetry is unbroken in the ground state. The result may be extended to a more general class of systems. The translational symmetry also implies that the density of states has the same kind of discrete character as in the non-interacting case. This is shown explicitly in the Hartree-Fock approximation by solving the Dyson equation.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:173:y:1991:i:1:p:281-292

DOI: 10.1016/0378-4371(91)90260-J

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