Abstract
We propose a model to study the magnetic phase transition in the Colossal-Magneto-Resistance (CMR) material of general type R1−x A x MnO3 (R = La, Sm, Nd; A = Ca, Sr, Ba). The model Hamiltonian consists of a Charge Density Wave (CDW) gap in the e g -band and the strong magnetic field due to the spin ordering in the localized t g core electrons. The Hamiltonian is solved by using Zubarev’s Green’s function technique to calculate CDW gap (Δ) and magnetization (M d ) in t 2g band. Both of them are solved self-consistently. Their combined effect on the temperature dependent magnetization (M c ) due to the e g band electrons is investigated. Both the magnitude and the transition temperature of (M c ) are strongly influenced by both Δ and M d . Hence the hopping of the band electrons are strongly controlled by these two long range interactions. The results are discussed by varying the model parameters of the manganite system.
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