Full self-consistency versus quasiparticle self-consistency in diagrammatic approaches: Exactly solvable two-site Hubbard model

Kutepov, A. L.

doi:10.1088/0953-8984/27/31/315603

Title: Full self-consistency versus quasiparticle self-consistency in diagrammatic approaches: Exactly solvable two-site Hubbard model

Abstract

Self-consistent solutions of Hedin's equations (HE) for the two-site Hubbard model (HM) have been studied. They have been found for three-point vertices of increasing complexity (Γ = 1 (GW approximation), Γ₁ from the first-order perturbation theory, and the exact vertex Γ_E). Comparison is made between the cases when an additional quasiparticle (QP) approximation for Green's functions is applied during the self-consistent iterative solving of HE and when QP approximation is not applied. Results obtained with the exact vertex are directly related to the present open question—which approximation is more advantageous for future implementations, GW + DMFT or QPGW + DMFT. It is shown that in a regime of strong correlations only the originally proposed GW + DMFT scheme is able to provide reliable results. Vertex corrections based on Perturbation Theory systematically improve the GW results when full self-consistency is applied. The application of QP self-consistency combined with PT vertex corrections shows similar problems to the case when the exact vertex is applied combined with QP sc. An analysis of Ward Identity violation is performed for all studied in this work's approximations and its relation to the general accuracy of the schemes used is provided.

Authors:

Kutepov, A. L. ^[1]

Ames Lab., Ames, IA (United States)

Publication Date:: Wed Jul 22 00:00:00 EDT 2015

Research Org.:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1221921

Report Number(s):: IS-J-8764
Journal ID: ISSN 0953-8984

Grant/Contract Number:: AC02-07CH11358

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Physics. Condensed Matter

Additional Journal Information:: Journal Volume: 27; Journal Issue: 31; Journal ID: ISSN 0953-8984

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Kutepov, A. L. Full self-consistency versus quasiparticle self-consistency in diagrammatic approaches: Exactly solvable two-site Hubbard model.  United States: N. p., 2015. 
Web.  doi:10.1088/0953-8984/27/31/315603.

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                    Kutepov, A. L. Full self-consistency versus quasiparticle self-consistency in diagrammatic approaches: Exactly solvable two-site Hubbard model.  United States.  https://doi.org/10.1088/0953-8984/27/31/315603

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                    Kutepov, A. L. Wed .  
"Full self-consistency versus quasiparticle self-consistency in diagrammatic approaches: Exactly solvable two-site Hubbard model".  United States.  https://doi.org/10.1088/0953-8984/27/31/315603.  https://www.osti.gov/servlets/purl/1221921.

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@article{osti_1221921,

  title        = {Full self-consistency versus quasiparticle self-consistency in diagrammatic approaches: Exactly solvable two-site Hubbard model},

  author       = {Kutepov, A. L.},

  abstractNote = {Self-consistent solutions of Hedin's equations (HE) for the two-site Hubbard model (HM) have been studied. They have been found for three-point vertices of increasing complexity (Γ = 1 (GW approximation), Γ₁ from the first-order perturbation theory, and the exact vertex ΓE). Comparison is made between the cases when an additional quasiparticle (QP) approximation for Green's functions is applied during the self-consistent iterative solving of HE and when QP approximation is not applied. Results obtained with the exact vertex are directly related to the present open question—which approximation is more advantageous for future implementations, GW + DMFT or QPGW + DMFT. It is shown that in a regime of strong correlations only the originally proposed GW + DMFT scheme is able to provide reliable results. Vertex corrections based on Perturbation Theory systematically improve the GW results when full self-consistency is applied. The application of QP self-consistency combined with PT vertex corrections shows similar problems to the case when the exact vertex is applied combined with QP sc. An analysis of Ward Identity violation is performed for all studied in this work's approximations and its relation to the general accuracy of the schemes used is provided.},

  doi          = {10.1088/0953-8984/27/31/315603},

  journal      = {Journal of Physics. Condensed Matter},

  number       = 31,

  volume       = 27,

  place        = {United States},

  year         = {Wed Jul 22 00:00:00 EDT 2015},

  month        = {Wed Jul 22 00:00:00 EDT 2015}

}

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Works referencing / citing this record:

Electronic structure of Na, K, Si, and LiF from self-consistent solution of Hedin's equations including vertex corrections
journal, October 2016

Kutepov, Andrey L.
Physical Review B, Vol. 94, Issue 15
DOI: 10.1103/physrevb.94.155101

Covariant cubic approximation for many-body electronic systems
journal, October 2018

Rosenstein, Baruch; Li, Dingping
Physical Review B, Vol. 98, Issue 15
DOI: 10.1103/physrevb.98.155126

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Title: Full self-consistency versus quasiparticle self-consistency in diagrammatic approaches: Exactly solvable two-site Hubbard model

Abstract

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