Non-Fermi Behavior of the Strongly Correlated Electron Systems

Details Non-Fermi Behavior of the Strongly Correlated Electron Systems Non-Fermi Behavior of the Strongly Correlated Electron Systems

1999-11-21

arxiv.org/abs/cond-mat/9911330v1

Physics

Condensed Matter

Ph.D. Thesis, 61 pages, Latex

Scientific paper

(1) The temperature dependence of the specific heat for a marginal Fermi liquid has been calculated. (2) We calculated the self-energy at T=0 for a two dimensional fermionic system with hyperbolic dispersion. The existence of the saddle points in the energy gives rise to a marginal behavior. (3) We showed that the two-dimensional fermionic system with the energy $\epsilon _{\mathbf{k}}=k_xk_y$ has a non-Fermi behavior. (4) The electronic self-energy due to the electron-spin interaction is calculated for a two dimensional system. (5) We study the influence of the amplitude fluctuations of a non-Fermi superconductor on the energy spectrum of the two-dimensional Anderson non-Fermi system. (6) Using the field-theoretical methods we studied the evolution from BCS theory to Bose-Einstein condensation (BEC) for a non-Fermi system. (7) Using the renormalization group approach proposed by Millis we calculated the specific heat coefficient $\gamma (T)$ for the magnetic fluctuations with susceptibility $\chi^{-1}\sim \delta ^{\alpha}+| \omega | ^{\alpha}+f(q)$ near a Lifshitz point.

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