Electron-Phonon Interaction in Strongly Correlated Systems

Figure 2

Static effective e-ph vertex in units of the bare e-ph coupling 𝑔 as a function of the transferred momentum (in units of the inverse lattice spacing 1/𝑎) in the (1,0) direction. The vertex is calculated at leading order in 1/𝑁 for a HH model with 𝑡=0.5 eV, 𝑡^′=−(1/6)𝑡, 𝜔₀=0.04 eV and doping 𝑥=0.205. The dotted line is in the absence of long-range Coulomb forces (𝑉_𝐶=0); the solid line is in the presence of long-range Coulomb forces with 𝑉_𝐶=0.55 eV (adapted from [54]).