Abstract

An interaction of an electron with phonon in a crystal shows the dependence of electronic heat capacity on temperature in low temperature limit. It is also found from theory that electronic heat capacity is a linear as well as non-linear function of electron–phonon coupling constant, linear function of force constant change parameter and polaron state upto second order. An electron Green’s function has been evaluated using equation of motion technique of quantum dynamics. The response function has been obtained from electron Green’s function to give electron–phonon linewidth and shift. This electron–phonon linewidth has been responsible for electron density of states.

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