Exchange energy and generalized polarization in the presence of spin-orbit coupling in two dimensions

Abstract

We discuss a general form of the exchange energy for a homogeneous system of interacting electrons in two spatial dimensions which is particularly suited in the presence of a generic spin-orbit interaction. The theory is best formulated in terms of a generalized fractional electronic polarization. Remarkably we find that a net generalized polarization does not necessarily translate into an increase in the magnitude of the exchange energy, a fact that in turn favors unpolarized states. Our results account qualitatively for the findings of recent experimental investigations.

References in corpus (4)

• Interaction-Induced Enhancement of Spin-Orbit Coupling in Two-Dimensional Electronic System
• Anomalous Spin Polarization of GaAs Two-Dimensional Hole Systems
• Fermi liquid parameters in 2D with spin-orbit interaction
• Negative differential Rashba effect in two-dimensional hole systems

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• Theory of a chiral Fermi liquid: general formalism
• Characterization of spin-orbit interactions of GaAs heavy holes using a quantum point contact
• Inelastic decay rate of quasiparticles in a two-dimensional spin-orbit coupled electron system
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• Two exact properties of the perturbative expansion for the two-dimensional electron liquid with Rashba or Dresselhaus spin-orbit coupling
• Spin-orbit-enhanced Wigner localization in quantum dots
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• Suppression of Coulomb exchange energy in quasi-two-dimensional hole systems
• Drude weight and optical conductivity of a two-dimensional heavy-hole gas with $k$-cubic spin-orbit interactions
• Quasiparticle velocities in 2D electron/hole liquids with spin-orbit coupling
• Understanding spin Hall effect in two-dimensional fermionic systems with generic spin-orbit interaction
• Coulomb-exchange effects in nanowires with spin splitting due to a radial electric field