We calculate the entropy of a two-dimensional Fermi liquid using a model with a contact interaction between fermions. We find that there are ${\mathit{T}}^{2}$ contributions to the entropy from interactions separate from those due to the collective modes. These ${\mathit{T}}^{2}$ contributions arise fron nonanalytic corrections to the real part of the self-energy which may be calculated from the leading-log dependence of the imaginary part of the self-energy through the Kramers-Kronig relation. We find no evidence of a breakdown in Fermi liquid theory in 2D and conclude that Fermi liquids in 2D are similar to 3D Fermi liquids.We calculate the entropy of a two-dimensional Fermi liquid using a model with a contact interaction between fermions. We find that there are ${\mathit{T}}^{2}$ contributions to the entropy from interactions separate from those due to the collective modes. These ${\mathit{T}}^{2}$ contributions arise fron nonanalytic corrections to the real part of the self-energy which may be calculated from the leading-log dependence of the imaginary part of the self-energy through the Kramers-Kronig relation. We find no evidence of a breakdown in Fermi liquid theory in 2D and conclude that Fermi liquids in 2D are similar to 3D Fermi liquids.

arXiv:cond-mat/9302036Physical Review LettersAug 16, 199350 citations

Fermi Liquids in Two Dimensions

WORLD SCIENTIFIC eBooksMar 1, 20080 citations

We calculate the entropy of a two-dimensional Fermi liquid using a model with a contact interaction between fermions. We find that there are

{\mathit{T}}^{2}

contributions to the entropy from interactions separate from those due to the collective modes. These

{\mathit{T}}^{2}

contributions arise fron nonanalytic corrections to the real part of the self-energy which may be calculated from the leading-log dependence of the imaginary part of the self-energy through the Kramers-Kronig relation. We find no evidence of a breakdown in Fermi liquid theory in 2D and conclude that Fermi liquids in 2D are similar to 3D Fermi liquids.