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

TL;DR

This paper uncovers two exact properties of the perturbative expansion in a 2D electron liquid with Rashba or Dresselhaus spin-orbit coupling, revealing how exchange, correlation, and quasiparticle properties depend on spin-orbit strength.

Contribution

It introduces two exact properties of the perturbative expansion that hold to all orders, providing new insights into spin-orbit effects on electron interactions.

Findings

Dependence of exchange and correlation energy on spin-orbit coupling

Quasiparticle properties vary with spin-orbit strength

Results valid to all orders in electron-electron interaction

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.