Quantization of conductance minimum and index theorem
We discuss the minimum value of the zero-bias differential conductance G sub(min) in a junction consisting of a normal metal and a nodal superconductor preserving time-reversal symmetry. Using the quasiclassical Green function method, we show that G sub(min) is quantized at (4e super(2)/h )N sub(ZES...
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| Veröffentlicht in: | Physical review. B 2016-08, Vol.94 (5), Article 054512 |
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| container_title | Physical review. B |
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| creator | Ikegaya, Satoshi Suzuki, Shu-Ichiro Tanaka, Yukio Asano, Yasuhiro |
| description | We discuss the minimum value of the zero-bias differential conductance G sub(min) in a junction consisting of a normal metal and a nodal superconductor preserving time-reversal symmetry. Using the quasiclassical Green function method, we show that G sub(min) is quantized at (4e super(2)/h )N sub(ZES) in the limit of strong impurity scatterings in the normal metal at the zero temperature. The integer N sub(ZES) represents the number of perfect transmission channels through the junction. An analysis of the chiral symmetry of the Hamiltonian indicates that N sub(ZES) corresponds to the Atiyah-Singer index in mathematics. |
| doi_str_mv | 10.1103/PhysRevB.94.054512 |
| format | Article |
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| ispartof | Physical review. B, 2016-08, Vol.94 (5), Article 054512 |
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| source | American Physical Society Journals |
| subjects | Channels Condensed matter Conductance Mathematical analysis Quantization Scattering Superconductors Symmetry |
| title | Quantization of conductance minimum and index theorem |
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