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Theory of Local Density of States of d-Wave Superconducting State Near the Surfaces of the t-J Model

Y. Tanuma·Y. Tanaka·M. Ogata·S. Kashiwaya
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Abstract

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.

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Y. Tanuma, Y. Tanaka, M. Ogata, S. Kashiwaya. 1998-02-23. Theory of Local Density of States of d-Wave Superconducting State Near the Surfaces of the t-J Model. https://doi.org/10.1143/jpsj.67.1118

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