Quasiparticle effective mass divergence in two dimensional electron systems

Abstract

Within the infinite series of ring (or bubble) diagram approximation for the electronic self-energy as appropriate for the long-range Coulomb interaction, we calculate the density-dependent T=0 Fermi liquid quasiparticle effective mass renormalization in two dimensional (2D) electron systems in the random-phase-approximation (RPA). We find that the quasiparticle effective mass increases very strongly with increasing $r_s$, exhibiting an unexpected divergence at a critical $r_s$ value ($\sim 16$ in the ideal 2D system). We discuss the possibility for and the consequences of such an interaction induced effective mass divergence as the electron density decreases, and critically comment on the likely theoretical scenarios which could lead to such a low density effective mass divergence in electron liquids.

Figure 6 updated. Accepted version for publishing

References in corpus (14)

• The low-density spin susceptibility and effective mass of mobile electrons in Si inversion layers
• Indication of the ferromagnetic instability in a dilute two-dimensional electron system
• Sharp increase of the effective mass near the critical density in a metallic 2D electron system
• Non-analytic corrections to the Fermi-liquid behavior
• Spin-independent origin of the strongly enhanced effective mass in a dilute 2D electron system
• Scaling of the magnetoconductivity of silicon MOSFET's: evidence for a quantum phase transition in two dimensions
• Thermodynamic Signature of a Two-Dimensional Metal-Insulator Transition
• Quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid
• Plasmon dispersion in dilute 2D electron systems: Quantum-Classical and Wigner Crystal-Electron Liquid Crossover
• Universal temperature corrections to Fermi liquid theory in an interacting electron system
• Temperature dependent effective mass renormalization in a Coulomb Fermi liquid
• Temperature dependent effective mass renormalization in 2D electron systems
• The effective mass of two--dimensional 3He
• On Effective Electron Mass of Silicon MOSFET at Low Electron Density

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