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YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.21468/scipost.report.7289

Spectral functions are important quantities that contain a wealth of information about the quasiparticles of a system, and that can also be measured experimentally.For systems with electron-phonon coupling, good approximations for the spectral function are available only in the Migdal limit (at Fermi energies much larger than the typical phonon frequency, E F Ω, requiring a large carrier concentration x) and in the single polaron limit (at x = 0).Here we show that the region with x 1 (E F < Ω) can also be reliably investigated with the Momentum Average (MA) variational approximation, which essentially describes the formation of a polaron above an inert Fermi sea.Specifically, we show that for the one-dimensional spinless Holstein model, the MA spectral functions compare favorably with those calculated using variationally exact density matrix renormalization group simulations (DMRG) evaluated directly in frequency-space, so long as x < 0.1 and the adiabaticity ratio Ω/t > 0.5.Unlike in the Migdal limit, here 'polaronic physics' emerges already at moderate couplings.The relevance of these results for a spinful low-x metal is also discussed.

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Type: peer-review
Language: en
Landing Page: https://doi.org/10.21468/scipost.report.7289
OA Status: gold
References: 66
Related Works: 10
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DOI: https://doi.org/10.21468/scipost.report.7289

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Title: Report on 2303.05013v2

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Type: peer-review

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Language: en

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Publication year: 2023

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Publication date: 2023-06-01

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Authors: Alberto Nocera, Mona Berciu

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Landing page: https://doi.org/10.21468/scipost.report.7289

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