This note assesses the Migdal-Eliashberg approximation in the Schwinger-Dyson gap equation against variants of the Yukawa-SYK model and comments on pseudo-holographic aspects of fermion pairing.
Excitonic pairing between nodal fermions
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abstract
We study excitonic pairing in nodal fermion systems characterized by a vanishing quasiparticle density of states at the pointlike Fermi surface and a concomitant lack of screening for long-range interactions. By solving the gap equation for the excitonic order parameter, we obtain a critical value of the interaction strength for a variety of power-law interactions and densities of states. We compute the free energy and analyze possible phase transitions, thus shedding further light on the unusual pairing properties of this peculiar class of strongly correlated systems.
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cond-mat.str-el 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Migdal-Eliashberg and SUS-$Y^2$-SYK
This note assesses the Migdal-Eliashberg approximation in the Schwinger-Dyson gap equation against variants of the Yukawa-SYK model and comments on pseudo-holographic aspects of fermion pairing.