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.
Holstein, Studies of polaron motion: Part i
5 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
representative citing papers
Slow phonons suppress the spin Edelstein effect in strained Rashba d-wave altermagnets through energy renormalization that collapses the Fermi surface, producing tunable anisotropic depolarization.
An all-electronic FRG with retarded phonon-mediated interactions treats charge, spin, nematic, and pairing instabilities on equal footing and is illustrated for the square-lattice Hubbard model with acoustic phonons.
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.
A new partitioning method makes the variational polaron framework computationally feasible for large-scale quantum energy transport networks by leveraging their inherent multi-scale structure.
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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Slow-phonon control of spin Edelstein effect in Rashba $d$-wave altermagnets
Slow phonons suppress the spin Edelstein effect in strained Rashba d-wave altermagnets through energy renormalization that collapses the Fermi surface, producing tunable anisotropic depolarization.
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Electron-Phonon Functional Renormalization Group of Fermi Liquid Instabilities
An all-electronic FRG with retarded phonon-mediated interactions treats charge, spin, nematic, and pairing instabilities on equal footing and is illustrated for the square-lattice Hubbard model with acoustic phonons.
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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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Scalable framework for quantum transport across large physical networks
A new partitioning method makes the variational polaron framework computationally feasible for large-scale quantum energy transport networks by leveraging their inherent multi-scale structure.