High density limit of the two-dimensional electron liquid with Rashba spin-orbit coupling

Abstract

We discuss by analytic means the theory of the high-density limit of the unpolarized two-dimensional electron liquid in the presence of Rashba or Dresselhaus spin-orbit coupling. A generalization of the ring-diagram expansion is performed. We find that in this regime the spin-orbit coupling leads to small changes of the exchange and correlation energy contributions, while modifying also, via repopulation of the momentum states, the noninteracting energy. As a result, the leading corrections to the chirality and total energy of the system stem from the Hartree-Fock contributions. The final results are found to be vanishing to lowest order in the spin-orbit coupling, in agreement with a general property valid to every order in the electron-electron interaction. We also show that recent quantum Monte Carlo data in the presence of Rashba spin-orbit coupling are well understood by neglecting corrections to the exchange-correlation energy, even at low density values.

11 pages, 5 figures

References in corpus (13)

• Measurement of Rashba and Dresselhaus spin-orbit magnetic fields
• Spin polarization of electrons by non-magnetic heterostructures : basics of spin-optics
• Screening properties of the two-dimensional electron gas with spin-orbit coupling
• Plasmon mass and Drude weight in strongly spin-orbit-coupled 2D electron gases
• Anomalous Spin Polarization of GaAs Two-Dimensional Hole Systems
• 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
• Theoretical study of interacting hole gas in p-doped bulk III-V semiconductors
• 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
• Correlation energy in a spin polarized two dimensional electron liquid in the high density limit
• Dielectric function of the semiconductor hole gas
• Two exact properties of the perturbative expansion for the two-dimensional electron liquid with Rashba or Dresselhaus spin-orbit coupling

Cited by in corpus (12)

• Ferromagnetic order of nuclear spins coupled to conduction electrons: a combined effect of the electron-electron and spin-orbit interactions
• Two exact properties of the perturbative expansion for the two-dimensional electron liquid with Rashba or Dresselhaus spin-orbit coupling
• Dielectric function of the semiconductor hole liquid: Full frequency and wave vector dependence
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Polarization of a quasi two-dimensional repulsive Fermi gas with Rashba spin-orbit coupling: a variational study
• Signatures of an annular Fermi sea
• Suppression of Coulomb exchange energy in quasi-two-dimensional hole systems
• Coupled spin-charge dynamics in helical Fermi liquids beyond the random phase approximation
• Quasiparticle velocities in 2D electron/hole liquids with spin-orbit coupling
• Phase diagram of the interacting persistent spin-helix state
• Spectrum of a family of spin-orbit coupled Hamiltonians with singular perturbation
• Coulomb-exchange effects in nanowires with spin splitting due to a radial electric field