MIT OpenCourseWare http ocw mit edu 8 512 Theory of Solids II Spring 2009 For information about citing these materials or our Terms of Use visit http ocw mit edu terms 1 Lecture 23 Fermi Liquid Theory Electron Spectral Function Lecture 24 Landau Parameter The Fermi liquid theory is discussed starting from the electron spectral function which was introduced when we discussed tunneling The key assumption of Landau is that a sharp peak in the spectral function survives the e ect of interaction and this peak gets sharper and sharper as we approach the Fermi energy We show that this assumption leads to the discontinuity in n k the occupation in momentum space This permits a de nition of the Fermi surface The Luttinger theorem states that the volume of the Fermi suface is una ected by interactions The phenomenological formulation of the Landu Fermi liquid theory is discussed by the introduction of the Landau parameters Its e ect on compressibility and spin susceptibility are discussed The Landau Silin equatin is derived Reading Pines and Nozieres Quantum Liquid Chapters 1 1 to 1 5
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