2003/11/30 by Victor Galitski, S. Das Sarma · 2 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.70.035111
published as Phys. Rev. B 70, 035111 (2004) · 8 pages, 2 figures, final version as published
openalex publication_date 2004/07/22 · arxiv created 2004/07/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We calculate analytically the effective mass and the quasiparticle renormalization factor in an electron liquid with long-range Coulomb interactions between electrons in two and three dimensions in the leading order density expansion. We concentrate on the temperature dependence of the effective mass in the limit T∕TF⪡rs⪡1 and show that the leading temperature correction is linear in two dimensions and proportional to T\phantom\rule0.1em0ex2\phantom\rule0.3em0exln(1∕T) in three dimensions (positive in both cases). We explicitly calculate the coefficients, which are shown to be universal density independent parameters of the order of unity (in the high-density limit). The singular temperature corrections are due to the singularity in the dynamic dielectric function at \ensuremathω\ensuremath∼vFq and q⪡2pF. In two dimensions, we predict a nonmonotonic effective mass temperature dependence and find that the maximum occurs at a temperature T*\ensuremath∼TFrs\phantom\rule0.3em0exln^\ensuremath-1(1∕rs). We also study the quasiparticle renormalization factor in both three and two dimensions.