Physics – Condensed Matter – Superconductivity
Scientific paper
1998-02-23
Physics
Condensed Matter
Superconductivity
8 pages, 3 figures, to appear in Journal of the Physical Society of Japan Vol.67 No.4
Scientific paper
10.1143/JPSJ.67.1118
Spatial dependencies of the pair potential and the local density of states near the surfaces of $d_{x^{2}-y^{2}}$-wave superconductors are studied theoretically. The calculation is based on the t-J model within a mean-field theory with Gutzwiller approximation. Various types of surface geometries are considered. Similar to our result in the extended Hubbard model, it is found that the formation of zero-energy states strongly depends on the surface geometry. In addition to this feature, the zero-energy states give peak splitting for the (110) surfaces when the super-exchange interaction $J$ is large. This is due to the induced s-wave component near the surface. The present result explains the microscopic origin of the spontaneous time- reversal symmetry breaking at the surfaces of high-$T_{c}$ superconductors.
Kashiwaya Satoshi
Ogata Masao
Tanaka Yasuhiro
Tanuma Yasunari
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