Tiling with triangles: parquet and $GW\ensuremath{\gamma}$ methods unified

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Tiling with triangles: parquet and $G W γ$ methods unified

Friedrich Krien, Anna Kauch, and Karsten Held

Phys. Rev. Research 3, 013149 – Published 15 February 2021

Abstract

The parquet formalism and Hedin's $G W γ$ approach are unified into a single theory of vertex corrections, corresponding to an exact reformulation of the parquet equations in terms of boson exchange. The method has no drawbacks compared to previous parquet solvers but has the significant advantage that the vertex functions decay quickly with frequencies and with respect to distances in real space. These properties coincide with the respective separation of the length and energy scales of the two-particle correlations into long/short-ranged and high/low-energetic.

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Received 28 September 2020
Revised 31 December 2020
Accepted 27 January 2021

DOI:https://doi.org/10.1103/PhysRevResearch.3.013149

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society