Physics – Condensed Matter – Superconductivity
Scientific paper
2005-09-05
Phys. Rev. B 71, 172507 (2005)
Physics
Condensed Matter
Superconductivity
5 pages, 3 figures
Scientific paper
10.1103/PhysRevB.71.172507
We propose a finite temperature Landau theory that describes competing orders and interlayer tunneling in cuprate superconductors as an important extension to a corresponding theory at zero temperature [Nature {\bf 428}, 53 (2004)], where the superconducting transition temperature $T_c$ is defined in three possible ways as a function of the zero temperature order parameter. For given parameters, our theory determines $T_c$ without any ambiguity. In mono- and double-layer systems we discuss the relation between zero temperature order parameter and the associated transition temperature in the presence of competing orders, and draw a connection to the puzzling experimental fact that the pseudo-gap temperature is much higher than the corresponding energy scale near optimum doping. Applying the theory to multi-layer systems, we calculate the layer-number dependence of $T_c$. In a reasonable parameter space the result turns out to be in agreement with experiments.
Pei Ming-Xu
Wang Qiang-Hua
Wu Jian-Bao
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