Subleading logarithmic behavior in the parquet formalism
The Fermi-edge singularity in x-ray absorption spectra of metals is a paradigmatic case of a logarithmically divergent perturbation series. Prior work has thoroughly analyzed the leading logarithmic terms. Here, we investigate the perturbation theory beyond leading logarithms and formulate self-cons...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
27 February, 2025
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| In: |
Physical review
Year: 2025, Volume: 111, Issue: 8, Pages: 1-27 |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/PhysRevB.111.085151 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1103/PhysRevB.111.085151 Verlag, kostenfrei, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.111.085151 
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| Author Notes: | Marcel Gievers, Richard Schmidt, Jan von Delft, and Fabian B. Kugler |
| Summary: | The Fermi-edge singularity in x-ray absorption spectra of metals is a paradigmatic case of a logarithmically divergent perturbation series. Prior work has thoroughly analyzed the leading logarithmic terms. Here, we investigate the perturbation theory beyond leading logarithms and formulate self-consistent equations to incorporate all leading and next-to-leading logarithmic terms. This parquet solution of the Fermi-edge singularity goes beyond the previous first-order parquet solution and sheds new light on the parquet formalism regarding logarithmic behavior. We present numerical results in the Matsubara formalism and discuss the characteristic power laws. We also show that, within the single-boson exchange framework, multi-boson exchange diagrams are needed already at the leading logarithmic level. |
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| Item Description: | Gesehen am 31.10.2025 |
| Physical Description: | Online Resource |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/PhysRevB.111.085151 |