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Article overview
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Effect of Defects in Superconducting Phase of Twisted Bilayer Graphene | Hui Yang
; Zhi-Qiang Gao
; Fa Wang
; | Date: |
26 Aug 2019 | Abstract: | In this work we study the effect of impurity in the superconducting phases of
the twisted bilayer graphene (TBG) by analysing bound states induced by the
impurity. As a comparison with the superconducting phase, we first consider the
impurity effect in the TBG without superconductivity in the scheme of a low
energy effective theorycite{Bistritzer_2011}. For superconductivity, our basis
is a four-band modelcite{Yuan:2018aa} with different superconducting pairing
symmetries. Then we construct the effective impurity Hamiltonian and compute
the local density of state (DOS). We find that for different kind of pairing
symmetries the numbers of bound states are different. These results can in
principle be detected in scanning tunnelling microscopy (STM) experiments, and
therefore the pairing symmetry may be determined. Finally we consider the
multi-impurity effect and compute phase diagrams in terms of effective gap and
the strength and density of impurities. We find that in $(p+ip)$-wave and
$(d+id)$-wave phases superconductivity will be destroyed by impurities with
high strength or concentration. | Source: | arXiv, 1908.9555 | Services: | Forum | Review | PDF | Favorites |
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