The role of intermediate layers in the c-axis conductivity of layered superconductors
Abstract
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 occurence of the pseudogap in terms of three parameters: a band gap Deltaps, a temperature dependent scattering rate Gamma(T), and the strength of the interlayer coupling tperp. 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.
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