2002/02/07 by Takanobu Jujo
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Cuprate #Doping #Lambda #Magnetic field #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quasiparticle #Rare-earth and actinide compounds #Renormalization #Scattering #Superconductivity #Vertex (graph theory) #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1143/jpsj.71.888
25 pages, 9 figures. Another version(11 pages longer) will appear in J. Phys. Soc. Jpn (2002) No.3
arxiv created 2002/02/07 · openalex publication_date 2002/03/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The renormalization of the magnetic field penetration depth λ owing to the electron-electron correlation is discussed with its application to high-T\rm c cuprates. The formula for the current carried by quasiparticle with the Umklapp scattering is derived, on the basis of which we investigate how the value of λ-2 deviates from that of n/m^* where n and m^* are the carrier density and the effective mass respectively. Although this deviation is small in the case of weak momentum dependence of the vertex, this is large and negative owing to the non-negligible value of the backflow in the case of the strong antiferromagnetic spin fluctuation. The observed doping dependence of λ-2 in high-T\rm c cuprates, specifically a peak structure at the slightly overdoped region, is explained by the analytical consideration and the numerical calculation based on the perturbation theory and the spin fluctuation theory. The consistency between λ-2 and \rm dλ-2/\rm dT at absolute zero, which is the problem the isotropic model fails to explain, is also obtained by our theory.