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Electron addition spectral functions of low-density polaron liquids
by Alberto Nocera, Mona Berciu
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Alberto Nocera |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202307_00023v1 (pdf) |
| Date accepted: | 2023-07-31 |
| Date submitted: | 2023-07-18 04:35 |
| Submitted by: | Nocera, Alberto |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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, $E_F\gg \Omega$, requiring a large carrier concentration $x$) and in the single polaron limit (at $x=0$). Here we show that the region with $x\ll 1$ ($E_F <\Omega$) 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 $\Omega/t>0.5$. 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.
Author comments upon resubmission
Sincerely yours,
Alberto Nocera and Mona Berciu
List of changes
Summary of Changes
1. We added Figure 4 showing momentum distribution functions calculated with DMRG.
2. We provided line cuts comparisons between MA and DMRG. In our opinion these do
not add new information, however we are happy to include them in the manuscript if
the Referee(s) request it.
3. We modified the text to make it more clear that the MA estimates of the effective
masses have already been published.
Published as SciPost Phys. 15, 110 (2023)