Spectral function of two-dimensional Fermi liquids

One-dimensional Fermi liquids

We review the progress in the theory of one-dimensional (1D) Fermi liquids which has occurred over the past decade. The usual Fermi liquid theory based on a quasi-particle picture, breaks down in one dimension because of the Peierls divergence in the particlehole bubble producing anomalous dimensions of operators, and because of charge-spin separation. Both are related to the importance of scat...

Mixed-symmetry superconductivity in two-dimensional Fermi liquids.

We consider a 2D isotropic Fermi liquid with attraction in both s and d channels and examine the possibility of a superconducting state with mixed s and d symmetry of the gap function. We show that both in the weak coupling limit and at strong coupling, a mixed s + id symmetry state is realized in a certain range of interaction. Phase transitions between the mixed and the pure symmetry states a...

Fermi Liquids in Two Space Dimensions

Fermi Liquids and Luttinger Liquids

Nonanalytic contributions to the self-energy and the thermodynamics of two-dimensional Fermi liquids.

We calculate the entropy of a two-dimensional Fermi Liquid(FL) using a model with a contact interaction between fermions. We find that there are T 2 contributions to the entropy from interactions separate from those due to the collective modes. These T 2 contributions arise from non-analytic corrections to the real part of the selfenergy which may be calculated from the leading log dependence o...