Breakdown of Landau Fermi liquid properties in the $2D$ Boson-Fermion model

Abstract

We study the normal state spectral properties of the fermionic excitations in the Boson-Fermion model. The fermionic single particle excitations show a flattening of the dispersion as the Fermi vector ${\mathbf{k}}_{{}_F}$ is approached from below, forshadowing a Bogoliubov spectrum of a superconducting ground state. The width of the quasiparticle excitations near ${\mathbf{k}}_{{}_F}$ increases monotonically as the temperature is lowered. In the fermionic distribution function this temperature dependence is manifest in a strong modification of $n(\mathbf{k})$ in a small region below ${\mathbf{k}}_{{}_F}$, but a nearly $T$ independant $n({\mathbf{k}}_{{}_F})$.

10 pages, RevTeX 3.0

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