Spin susceptibility of interacting two-dimensional electrons in the presence of spin-orbit coupling

Abstract

A long-range interaction via virtual particle-hole pairs between Fermi-liquid quasiparticles leads to a nonanalytic behavior of the spin susceptibility $\chi$ as a function of the temperature ($T$), magnetic field ($\mathbf{B}$), and wavenumber. In this paper, we study the effect of the Rashba spin-orbit interaction (SOI) on the nonanalytic behavior of $\chi$ for a two-dimensional electron liquid. Although the SOI breaks the SU(2) symmetry, it does not eliminate nonanalyticity but rather makes it anisotropic: while the linear scaling of ${\chi }_{zz}$ with $T$ and $|\mathbf{B}|$ saturates at the energy scale set by the SOI, that of ${\chi }_{xx}$ ($={\chi }_{yy}$) continues through this energy scale, until renormalization of the electron-electron interaction in the Cooper channel becomes important. We show that the Renormalization Group flow in the Cooper channel has a non-trivial fixed point, and study the consequences of this fixed point for the nonanalytic behavior of $\chi$. An immediate consequence of SOI-induced anisotropy in the nonanalytic behavior of $\chi$ is a possible instability of a second-order ferromagnetic quantum phase transition with respect to a first-order transition to an XY ferromagnetic state.

34 pages, 12 figures

References in corpus (13)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Inhomogeneous phase formation on the border of itinerant ferromagnetism
• Magnetic Ordering of Nuclear Spins in an Interacting 2D Electron Gas
• Screening properties of the two-dimensional electron gas with spin-orbit coupling
• Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
• Non-analytic behavior of 2D itinerant ferromagnets
• Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
• Temperature dependence of spin susceptibility in two-dimensional Fermi liquid systems
• Cooper channel and the singularities in the thermodynamics of a Fermi liquid
• Momentum dependence of the spin susceptibility in two dimensions: nonanalytic corrections in the Cooper channel
• Charge and spin density response functions of the clean two-dimensional electron gas with Rashba spin-orbit coupling at finite momenta and frequencies

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