Finite-temperature second-order many-body perturbation theory revisited
We present an algebraic, nondiagrammatic derivation of finite-temperature second-order many-body perturbation theory [FT-MBPT(2)], using techniques and concepts accessible to theoretical chemical physicists. We give explicit expressions not just for the grand potential but particularly for the mean...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2017
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| In: |
Chemical physics
Year: 2016, Volume: 482, Pages: 355-361 |
| DOI: | 10.1016/j.chemphys.2016.08.001 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.chemphys.2016.08.001 Verlag, Volltext: http://arxiv.org/abs/1609.00492 
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| Author Notes: | Robin Santra, Jochen Schirmer |
| Summary: | We present an algebraic, nondiagrammatic derivation of finite-temperature second-order many-body perturbation theory [FT-MBPT(2)], using techniques and concepts accessible to theoretical chemical physicists. We give explicit expressions not just for the grand potential but particularly for the mean energy of an interacting many-electron system. The framework presented is suitable for computing the energy of a finite or infinite system in contact with a heat and particle bath at finite temperature and chemical potential. FT-MBPT(2) may be applied if the system, at zero temperature, may be described using standard (i.e., zero-temperature) second-order many-body perturbation theory [ZT-MBPT(2)] for the energy. We point out that in such a situation, FT-MBPT(2) reproduces, in the zero-temperature limit, the energy computed within ZT-MBPT(2). In other words, the difficulty that has been referred to as the Kohn--Luttinger conundrum, does not occur. We comment, in this context, on a "renormalization" scheme recently proposed by Hirata and He. |
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| Item Description: | Gesehen am 28.08.2018 Submitted on Sep 2 2016 |
| Physical Description: | Online Resource |
| DOI: | 10.1016/j.chemphys.2016.08.001 |