2000/11/01 by Jens Paaske, J. Paaske, D. V. Khveshchenko +1 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Dirac fermion #Fermion #Inelastic neutron scattering #Inelastic scattering #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quasielastic scattering #Quasiparticle #Resummation #Scattering #Scattering rate #Scattering theory #Superconductivity #Topological Materials and Phenomena #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1016/s0921-4534(00)00472-x
published as Physica C 341, 265 (2000) · This paper was published some years back but was never uploaded to arXiv
openalex publication_date 2000/11/01 · arxiv created 2007/08/29 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
The inelastic scattering rates of quasiparticles in a two-dimensional d-wave superconductor, which arise from interactions with either acoustic phonons or other quasiparticles, are calculated within second order perturbation theory. We discover a strong enhancement of scattering with collinear momenta, brouth about by the special kinematics of the two-dimensional fermions with Dirac-like spectrum near the nodes of the d-wave order parameter. In the case of a local instantaneous interparticle potential we find that either an RPA-type resummation of the perturbation series or an inclusion of non-linear corrections to the Dirac spectrum is called for in order to obtain a finite scattering rate in the limit ω/T→ 0. In either way, we find drastic changes in the scattering rate, as compared to the naively expected cubic temperature dependence.