Raman spectra of La0.5Ca0.5MnO3

Here, we present a microscopic theory to explain different Raman modes of the La0.5Ca0.5MnO3 based on the electronic Hamiltonian of the double-exchange model, which adds phonon interaction with the hybridization between the conduction electrons of the system and l-electrons. The spectral density is calculated by the Green function technique of Zubarev (1960 Sov. Phys-Usp. 3 320) at the zero wave vector and low temperature limit. We found that there are two Raman-active modes and the spectral densities of these modes are substantially influenced by the model parameters such as the position of l-level (ε JT), the effective electron-phonon coupling strength (g) and the hybridization parameter (v). Lastly, the intensity changes of the peaks are investigated.