Surface Bound States in n-band Systems with Quasiclassical Approach

Abstract

We discuss the tunneling spectroscopy at a surface in multi-band systems such as Fe-based superconductors with the use of the quasiclassical approach. We extend the single-band method by Matsumoto and Shiba [J. Phys. Soc. Jpn. 64, 1703 (1995)] into $n$-band systems ($n\ge 2$). We show that the appearance condition of the zero-bias conductance peak does not depend on details of the pair-potential anisotropy, but it depends on details of the normal state properties in the case of fully-gapped superconductors. The surface density of states in a two-band superconductor is presented as a simplest application. The quasiclassical approach enables us to calculate readily the surface-angular dependence of the tunneling spectroscopy.

9 pages, 7 figures; References and Discussions updated

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• Time-reversal symmetry breaking state near the surface of $s_{\pm }$-superconductor
• Theory of vortex structure in Josephson junctions with multiple tunneling channels: Vortex enlargement as a probe of $\pm s$-wave superconductivity
• Impurity Scattering Rate and Coherence factor in Vortex Core of Sign-reversing s-wave Superconductors
• Topological surface states and Andreev bound states in superconducting iron pnictides
• Odd-frequency Pairing in the Edge States of Superconducting Pnictides in the Coexistence Phase with Antiferromagnetism
• Multi-band Eilenberger theory of superconductivity: Systematic low-energy projection
• Order parameter sign-reversal near $s_{\pm }$-superconductor surface
• Surface-angle dependence of the tunneling spectroscopy in iron-based superconductors: sign-reversing s-wave scenarios
• Theory of Josephson current on a lattice model of grain boundary in $d$-wave superconductors