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.

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• RKKY interaction in carbon nanotubes and graphene nanoribbons
• Spin susceptibility of interacting two-dimensional electrons in the presence of spin-orbit coupling
• RKKY interaction in a disordered two-dimensional electron gas with Rashba and Dresselhaus spin-orbit couplings
• Local Spin Susceptibilities of Low-Dimensional Electron Systems
• Ferromagnetic order of nuclear spins coupled to conduction electrons: a combined effect of the electron-electron and spin-orbit interactions
• Theory of a chiral Fermi liquid: general formalism
• Helical nuclear spin order in two-subband quantum wires
• Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering
• Spin-orbit interaction induced singularity of the charge density relaxation propagator
• Non-analytic magnetic field dependence of quasi-particle properties of two-dimensional metals