Migdal-Eliashberg theory breaks down to polaron/bipolaron states before phonon softening at extreme densities, with variational upper bounds on coupling λ showing this occurs well before softening in 2D/3D systems.
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In the Holstein model, polaronic and bipolaronic states emerge before phonon softening across wide fillings in 2D and 3D, via an intermediate pseudogap mixed state where Luttinger theorem is broken.
Ab initio VDMC calculations of two-electron scattering in the uniform electron gas yield Landau parameters showing a density-driven underscreening-to-overscreening crossover and an sKO+ ansatz that quantitatively matches measured thermal resistivities in Al, Na, K, and Rb.
citing papers explorer
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Breakdown of the Migdal-Eliashberg theory for electron-phonon systems. Role of polarons/bi-polarons
Migdal-Eliashberg theory breaks down to polaron/bipolaron states before phonon softening at extreme densities, with variational upper bounds on coupling λ showing this occurs well before softening in 2D/3D systems.
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Limits of validity for Migdal-Eliashberg theory: role of polarons/bi-polarons
In the Holstein model, polaronic and bipolaronic states emerge before phonon softening across wide fillings in 2D and 3D, via an intermediate pseudogap mixed state where Luttinger theorem is broken.
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Two-Electron Correlations in the Metallic Electron Gas
Ab initio VDMC calculations of two-electron scattering in the uniform electron gas yield Landau parameters showing a density-driven underscreening-to-overscreening crossover and an sKO+ ansatz that quantitatively matches measured thermal resistivities in Al, Na, K, and Rb.