2008/11/30 by Stefano Chesi, Robert Andrzej Żak, Pascal Simon +1
Physics and Astronomy · #Condensed matter physics #Cooper pair #Electron #Fermi surface #Fourier transform #Harmonics #Momentum (technical analysis) #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quasiparticle #Rare-earth and actinide compounds #Renormalization #Scattering #Spin (aerodynamics) #Superconductivity #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.79.115445
published as Phys. Rev. B 79, 115445 (2009)
openalex publication_date 2009/03/30 · arxiv created 2009/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.