Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 81, Issue 8, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.81.084707
Keywords
topological insulator; helical Dirac electron; unconventional superconductivity; impurity scattering; time reversal symmetry; spin orbit interaction; Abrikosov-Gor'kov theory; Bogoliubov-de Gennes equation; impurity induced state
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Funding
- Ministry of Education, Culture, Sports, Science and Technology Japan (MEXT) [22104010, 22340090]
- MEXT HPCI Strategic Programs for Innovative Research (SPIRE)
- Computational Materials Science Initiative (CMSI)
- Grants-in-Aid for Scientific Research [22104010, 22340090] Funding Source: KAKEN
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A two-dimensional superconductor (SC) on surfaces of topological insulators (TIs) is a mixture of s-wave and helical p-wave components when induced by s-wave interactions, since spin and momentum are correlated. On the basis of the Abrikosov-Gor'kov theory, we reveal that unconventional SCs on the surfaces of TIs are stable against time-reversal symmetric (TRS) impurities within a region of small impurity concentration. Moreover, we analyze the stability of the SC on the surfaces of TIs against impurities beyond the perturbation theory by solving the real-space Bogoliubov-de Gennes equation for an effective tight-binding model of a TI. We find that the SC is stable against strong TRS impurities. The behaviors of bound states around an impurity suggest that the SC on the surfaces of TIs is not a topological SC.
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