2005/11/29 by Andrey V. Chubukov, A. V. Chubukov, A. M. Tsvelik · 6 citations
Mathematics · Physics and Astronomy · #Charge (physics) #Combinatorics #Energy (signal processing) #Fermion #Function (biology) #Mathematical physics #Mathematics #Omega #Order (exchange) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Spin (aerodynamics) #Topological Materials and Phenomena #Wave function #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.73.220503
published in Physical Review B 73(22) (American Physical Society) · 4pp 3 eps figures
arxiv created 2005/11/29 · openalex publication_date 2006/06/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We reconsider the self-energy of a nodal (Dirac) fermion in a two-dimensional d-wave superconductor. A conventional belief is that Im\phantom\rule0.2em0ex\ensuremathΣ(\ensuremathω,T)\ensuremath∼max(\ensuremathω3,T3). We show that \ensuremathΣ(\ensuremathω,k,T) for k along the nodal direction is actually a complex function of \ensuremathω,T, and the deviation from the mass shell. In particular, the second-order self-energy diverges at a finite T when either \ensuremathω or k\ensuremath-kF vanish. We show that the full summation of infinite diagrammatic series recovers a finite result for \ensuremathΣ, but the full angle-resolved photoemission spectroscopy spectral function is nonmonotonic and has a kink whose location compared to the mass shell differs qualitatively for spin-and charge-mediated interactions.