2001/03/01 by Ikuo Ichinose, I. Ichinose, Tetsuo Matsui +3 · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat
paper · pdf · doi:10.1103/physrevb.64.104516
published as Phys.Rev.B64(2001)104516
arxiv created 2001/03/01 · openalex publication_date 2001/08/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the slave-boson t\ensuremath-J model of cuprates with high superconducting transition temperatures, and derive its low-energy effective field theory for the charge-spin separated state in a self-consistent manner. The phase degrees of freedom of the mean field for hoppings of holons and spinons can be regarded as a U(1) gauge field, Ai. The charge-spin separation occurs below a certain temperature, TCSS, as a deconfinement phenomenon of the dynamics of Ai. Below a certain temperature TSG(<TCSS), the spin-gap phase develops as the Higgs phase of the gauge-field dynamics, and Ai acquires a mass mA. The effective field theory near TSG takes the form of a Ginzburg-Landau theory of a complex scalar field \ensuremathλ coupled with Ai, where \ensuremathλ represents d-wave pairings of spinons. Three dimensionality of the system is crucial to realize a phase transition at TSG. By using this field theory, we calculate the dc resistivity \ensuremathρ. At T>TSG, \ensuremathρ is proportional to T. At T<TSG, it deviates downward from the T-linear behavior as \ensuremathρ\ensuremath∝T1\ensuremath-c(TSG\ensuremath-T)d. When the system is near (but not) two dimensional, due to the compactness of the phase of the field \ensuremathλ, the exponent d deviates from its mean-field value 1/2 and becomes a nonuniversal quantity which depends on temperature and doping. This significantly improves the comparison with the experimental data.