Journal
PHYSICA SCRIPTA
Volume T151, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0031-8949/2012/T151/014036
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Funding
- DFG [BO1366-9]
- North-German Supercomputing Alliance (HLRN) [shp0006]
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In the non-equilibrium Green function calculations, the use of the generalized Kadanoff-Baym ansatz (GKBA) allows for a simple approximate reconstruction of the two-time Green function from its time-diagonal value. With this, a drastic reduction of the computational needs is achieved in time-dependent calculations, making longer time propagation possible and more complex systems accessible. This paper gives credit to the GKBA that was introduced 25 years ago. After a detailed derivation of the GKBA, we recall its application to homogeneous systems and show how to extend it to strongly correlated, inhomogeneous systems. As a proof of concept, we present the results for a two-electron quantum well, where the correct treatment of the correlated electron dynamics is crucial for a correct description of the equilibrium and dynamic properties.
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