Abstract
The scattering cross-section of the resonant inelastic light scattering is represented as a correlation function in the Keldysh–Schwinger functional integral formalism. The functional integral approach enables us to compute the cross-section in the Feynman diagram perturbation theory where many-body effects can be fully incorporated. This approach is applied to the one G-phonon Raman scattering of graphene, and the result is shown to agree with the one previously obtained by the conventional Fermi golden rule formula. Also, this approach is generalized to the systems in non-equilibrium conditions.
Highlights
The inelastic light scattering (ILS) is a very important experimental method for the investigation of the physical properties of condensed matter
The transition rate wILS for ILS can be obtained by Fermi golden rule which is applied up to the second order with respect to the interaction Hamiltonian H ′ between light and matter: wILS = 2π pI
The second goal of this paper is to elaborate on the formalism developed in the references [12, 13, 14], so that the correlation function obtained in the first goal can be recast in the Keldysh and Schwinger (KS) functional integral formalism, which will disentangle the time orderings completely
Summary
The inelastic light scattering (ILS) is a very important experimental method for the investigation of the physical properties of condensed matter. The first goal of this paper is to express the resonant contribution to ILS in the form of correlation function just like the case of the nonresonant contribution mentioned above. To achieve this goal, in principle, we have to carry out the sum over the intermediate states |n of the second term of (1). The second goal of this paper is to elaborate on the formalism developed in the references [12, 13, 14], so that the correlation function obtained in the first goal can be recast in the KS functional integral formalism, which will disentangle the time orderings completely.
Sign-in/Register to view highlights & summary 
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call