Polaron Mass and Electron-Phonon Correlations in the Holstein Model

Figure 4

(a) Time averaged e-ph coupling (in units meVÅ^-1 versus wave vector for a linear chain. 𝑛^∗ represents the cutoff on the e-ph correlations. 𝜌₀ is the electron density. 𝜔₀=20 meV and 𝜔₁=10 meV. 𝑔=3. The dispersionless e-ph coupling is obtained for 𝜔₁=0. (b) Time averaged e-ph coupling in two dimensions versus the 𝑦 component of the momentum. The cases 𝑛^∗=1, 𝑛^∗=2, and 𝑛^∗=3 imply that the correlation range includes the second, the fifth and the ninth neighbors shell, respectively. The input parameters are as in (a).

(a)

(b)