Momentum dependence of the spin susceptibility in two dimensions: nonanalytic corrections in the Cooper channel

Abstract

We consider the effect of rescattering of pairs of quasiparticles in the Cooper channel resulting in the strong renormalization of second-order corrections to the spin susceptibility in a two-dimensional electron system. We use the Fourier expansion of the scattering potential in the vicinity of the Fermi surface to find that each harmonic becomes renormalized independently. Since some of those harmonics are negative, the first derivative of the spin susceptibility is bound to be negative at small momenta, in contrast to the lowest order perturbation theory result, which predicts a positive slope. We present in detail an effective method to calculate diagrammatically corrections to the spin susceptibility to infinite order.

References in corpus (6)

• Magnetic Ordering of Nuclear Spins in an Interacting 2D Electron Gas
• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
• Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
• Coulomb scattering cross-section in a 2D electron gas and production of entangled electrons
• Temperature dependence of spin susceptibility in two-dimensional Fermi liquid systems
• Cooper channel and the singularities in the thermodynamics of a Fermi liquid

Cited by in corpus (3)

• RKKY interaction in carbon nanotubes and graphene nanoribbons
• Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering
• Non-analytic magnetic field dependence of quasi-particle properties of two-dimensional metals