Non--Adiabatic Contributions to the Free Energy from the Electron--Phonon Interaction for Na, K, Al, and Pb

N. Bock; D. Coffey; Duane C. Wallace

doi:10.1103/PhysRevB.72.155120

paper

Non--Adiabatic Contributions to the Free Energy from the Electron--Phonon Interaction for Na, K, Al, and Pb

arXiv:cond-mat/0501025 · doi:10.1103/PhysRevB.72.155120

Abstract

We calculate the non--adiabatic contributions to the free energy of metals due to the electron--phonon interaction at intermediate temperatures, $0 ⩽ k_{B} T < ε_{F}$ for four different nearly free electron metals, Na, K, Al, and Pb. We calculate its value for $T = 0$ which has not been calculated before and we study its low--temperature behavior.