Theoretical high-$T_c$ d-wave superconducting gap in an inhomogeneous medium

Details Theoretical high-$T_c$ d-wave superconducting gap in an inhomogeneous medium Theoretical high-$T_c$ d-wave superconducting gap in an inhomogeneous medium

2005-08-16

arxiv.org/abs/cond-mat/0508381v3

Physica C 460, 1163 (2007)

Physics

Condensed Matter

Superconductivity

6 pages and 6 figs

Scientific paper

10.1016/j.physc.2007.03.248

We perform theoretical calculations to obtain a distribution of local d-wave superconducting gaps $\Delta_0({r})$ for a high temperature superconducting (HTSC) series in a disordered superconductor with an average doping level $<\rho>$. To reproduce the inhomogeneous medium a nonmagnetic random potential $V^{imp}$, within a Bogoliubov-de Gennes (BdG) formalism, is considered. First the phase diagram $\Delta_0 x <\rho>$ for the LSCO HTSC series, with V^{imp}=0, is obtained. Then, we perform calculations considering a fixed value of the disorder strength $V^{imp}$ and obtain a distribution of local superconducting gaps $\Delta_0({r})$, and local density of charge carriers $\rho({r})$. It is shown that the underdoped compounds are more inhomogeneous than the overdoped ones, which is in accordance with experimental findings. Also, the spatial variation of $\Delta_0({r})$ indicates that as <\rho> increases, the system becomes more homogeneous.

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