Two exact properties of the perturbative expansion for the two-dimensional electron liquid with Rashba or Dresselhaus spin-orbit coupling

Abstract

We have identified two useful exact properties of the perturbative expansion for the case of a two-dimensional electron liquid with Rashba or Dresselhaus spin-orbit interaction and in the absence of magnetic field. The results allow us to draw interesting conclusions regarding the dependence of the exchange and correlation energy and of the quasiparticle properties on the strength of the spin-orbit coupling which are valid to all orders in the electron-electron interaction.

6 pages, 1 figure

References in corpus (7)

• Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
• Plasmon mass and Drude weight in strongly spin-orbit-coupled 2D electron gases
• Spin susceptibility of interacting two-dimensional electrons in the presence of spin-orbit coupling
• Quantum Monte Carlo study of the two-dimensional electron gas in presence of Rashba interaction
• Exchange energy and generalized polarization in the presence of spin-orbit coupling in two dimensions
• Inelastic decay rate of quasiparticles in a two-dimensional spin-orbit coupled electron system
• High density limit of the two-dimensional electron liquid with Rashba spin-orbit coupling

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• High density limit of the two-dimensional electron liquid with Rashba spin-orbit coupling
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Electron Correlation Effects in Non-Centrosymmetric Metals in the Weak Coupling Regime
• Coupled spin-charge dynamics in helical Fermi liquids beyond the random phase approximation
• Quasiparticle velocities in 2D electron/hole liquids with spin-orbit coupling
• Coulomb-exchange effects in nanowires with spin splitting due to a radial electric field
• Delocalization of charge and current in a chiral quasiparticle wave-packet