Marginal Fermi liquids from Fermi surfaces coupled via matrix boson gas
Vibhu Mishra
Phys. Rev. B 113, 115111 (2026) - Published 6 March, 2026
We propose a model of metallic critical point which we study at in the large- limit. We start with two species of fermions , each with flavors and a gas of matrix bosons with components. The fermions interact with each other via the intermediate boson as . The bosons have a bare dispersion and we study the problem in spatial dimensions. We show that for the electronic self-energy shows marginal Fermi liquid behavior. We first evaluate the fermionic self-energy using the standard approximate boson self-energy and find that which shows a much weaker dependence on when compared with similar results from non-SYK large- Ising-nematic models. Then we evaluate again using a more precise form of which allows us to study the interplay between limit for which , and the limit where we recover . We also use the full bosonic self-energy to obtain the correction to the bosonic-specific heat as . Since there are bosons and fermions, the bulk heat capacity for both fermions and bosons shows nearly identical functional form and , respectively, for . This suggests that coupling the hybridization operator to nonrelativistic bosons for and relativistic bosons for provides a simple route to marginal Fermi liquid scaling.

