A simplified model of c axis transport in the high Tc superconductors is presented. Expressions are found for the c axis optical conductivity, the d.c. resistivity, and the c axis penetration depth. Within the framework of this model, the pseudogap in the optical conductivity arises naturally as a result of the layered band structure of the high Tc materials. We discuss the occurrence of the pseudogap in terms of three parameters: a bandgap Δps, a temperature dependent scattering rate Γ(T), and the strength of the interlayer coupling t⊥. We are also able to find analytic expressions for the d.c. conductivity and the low temperature penetration depth in terms of these three parameters. This work is an attempt to present a simple, unified picture of c axis properties in the high Tc cuprates.
- Anisotropic conductivity
- High temperature superconductivity
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics