Synthesis Of The Conventional Phenomenological Theories With Marginal Fermi Liquid Model

ABSTRACT

The high temperature superconducting cuprates show some non Fermi liquid behaviour in their normal state. Also there is no generally accepted theory of high temperature superconductivity. The BCS theory has failed to explain the superconductive state properties of the cuprate superconductors. GorterCasimir two uid model and London theory has been very useful before the BCS theory. Varma and his co-workers propounded a `marginal` Fermi liquid theory which explains the normal state properties of the cuprate superconductors. In this thesis, we have calculated some thermodynamic and electrodynamic properties of the cuprate superconductors. The method involves applying the result of electronic specic heat capacity of cuprates in the normal state obtained by Kuroda and Varma to the Gorter-Casimir two uid model using the standard variational method. We also applied the two uid scheme to the London theory and obtained an expression for the magnetic eld penetration depth. Our result was compared with other peoples' results and experimental results.