Local orbital formulation of the Floquet theory of projectile electronic stopping

A recently proposed theoretical framework for the description of electronic quantum friction constant-velocity nuclear projectiles traversing periodic crystals is here implemented using a local basis representation. The theory requires change reference frame to that projectile, and set transformation target functions gliding presented, which time-periodic but does not displace in space with respect allowing local-basis Floquet impurity-scattering formalism be used. It illustrated one-dimensional single-band tight-binding model, as simplest paradigmatic example, displaying qualitative behaviour formalism. time-dependent non-orthogonality care proper (simplest) definition projectile perturbation. Fermi level tilted slope given by velocity, complicates integration over occupied states. solved recurrent application Lippmann-Schwinger equation, analogy previous non-equilibrium treatment electron ballistic transport. Aiming towards first-principles mean-field-like implementation, final result particle density region around describing stroboscopically stationary perturbation cloud out other quantities can obtained, such stopping power.