Physics – Condensed Matter – Superconductivity
Scientific paper
1999-07-13
Phys. Rev. B 61, 648 (2000)
Physics
Condensed Matter
Superconductivity
18 revtex pages with 4 eps figures, final version
Scientific paper
10.1103/PhysRevB.61.648
We investigate the free energy and the penetration depth of a quasi-two-dimensional d-wave superconductor in the presence of a weak magnetic field by taking account of thermal, nonlocal and nonlinear effects. In an approximation in which the superfluid velocity $v_s$ is assumed to be slowly varying, the free energy is calculated and compared with available results in several limiting cases. It is shown that either nonlocal or nonlinear effects may cut off the linear-$T$ dependence of both the free energy and the penetration depth in all the experimental geometries. At extremely low $T$, the nonlocal effects will also generically modify the linear $H$ dependence of the penetration depth ("nonlinear Meissner effect") in most experimental geometries, but for supercurrents oriented along the nodal directions, the effect may be recovered. We compare our predictions with existing experiments on the cuprate superconductors.
Hirschfeld Peter J.
Li Mei-Rong
Woelfle Peter
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