Renormalization energy

These gaps close simultaneously at Tc. The quasiparticle energies, renormalized by the vibronic interaction corresponding to equation (1), read (the band energies eab contain the chemical potential /a)... 

Figure 3.7. Dispersion of the 2D monolayer polariton real part (left) and imaginary part (right) of the excitonic energy renormalization RK(

Figure 2. A typical self-energy renormalization of the QE energies, for p-type cuprates.

Fang, W., Kong, J., Dresselhaus, M.S., and Kalbac, M. (2013) Mass-related inversion symmetry breaking and phonon self-energy renormalization in isotopically labeled AB-stacked bilayer graphene. Sci. Rep., 3, 2061. 

Like the exact QDT counterpart [cf. Eq. (4.6)], the POP-CS-QDT preserves both the reduced Gaussian dynamics and the effective local field pictinre for the DBO system. Its TZg [Eq. (4.11a)] has the same dissipation superoperator terms as those in ]Zf [Eq. (4.6b)]. The first and the last terms in the right-hand-side of Eq. (4.11a) for TZg or Eq. (4.6b) for are mainly responsible for the energy renormalization (or self-energy) contribution [38] and their dynamics implications are often neglected in phenomenological quantum master equations such as the optical Bloch-Redfield theory [36]. Note that the bath response function relates to the spectral density as [cf. Eq. (2.8)]... 

Harmonic oscillators simplify the analysis. Normal coordinates and frequencies differ in principle from state to state and involve both state rotations and energy renormalization. In practice, unrotated ground-state coordinates are retained even when different frequencies are used in detailed fits [21,91,92]. Displaced harmonic oscillators yield analytical expressions [93,94] for Fp, when ground-state frequencies o>i are kept in excited states. Moreover, since o>i is typically smaller than electronic splittings, some of the sums in Eq. (30) can be evaluated by closure. Closure can readily be checked and holds unless an energy denominator becomes small. Closure leads to Franck-Condon averages [Pg.181]

The directed lines are single-particle propagators which in general have self-energy renormalization, also contains... 

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