|Title||Coupled electron-impurity and electron-phonon systems as trivial non-Fermi liquids|
|Publication Type||Journal Article|
|Year of Publication||2019|
|Authors||D. Buterakos, and S. Das Sarma|
|Journal||Phys. Rev. B|
|Date Published||DEC 30|
|Type of Article||Article|
We consider an electron gas, both in two (2D) and three (3D) dimensions, interacting with quenched impurities and phonons within leading order finite-temperature many-body perturbation theories, calculating the electron self-energies, spectral functions, and momentum distribution functions at finite temperatures. The resultant spectral function is in general highly non-Lorentzian, indicating that the system is not a Fermi liquid in the usual sense. The calculated momentum distribution function cannot be approximated by a Fermi function at any temperature, providing a rather simple example of a non-Fermi liquid with well-understood properties.