Temperature dependent effective mass renormalization in a Coulomb Fermi liquid

Abstract

We calculate numerically the quasiparticle effective mass (m*) renormalization as a function of temperature and electron density in two- and three-dimensional electron systems with long-range Coulomb interaction. In two dimensions, the leading temperature correction is linear and positive with the slope being a universal density independent number in the high density limit. We predict an enhancement of the effective mass at low temperatures and a non-monotonic temperature dependence at higher temperatures (T/T_F ~ 0.1) with the peak shifting toward higher temperatures as density decreases. In three dimensions, we find that the effective mass temperature dependence is nonlinear and non-universal, and depends on the electron density in a complicated way. At very high densities, the leading correction is positive, while at lower densities it changes sign and the effective mass decreases monotonically from its zero temperature value with increasing temperature.

References in corpus (7)

• The low-density spin susceptibility and effective mass of mobile electrons in Si inversion layers
• Sharp increase of the effective mass near the critical density in a metallic 2D electron system
• Coulomb scattering lifetime of a two-dimensional electron gas
• Non-analytic corrections to the Fermi-liquid behavior
• Spin-independent origin of the strongly enhanced effective mass in a dilute 2D electron system
• Temperature dependent effective mass renormalization in 2D electron systems
• Mass enhancement of two-dimensional electrons in thin-oxide Si-MOSFET's

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