2019
DOI: 10.1103/physrevb.99.094505
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Inverse proximity effect in s -wave and d -wave superconductors coupled to topological insulators

Abstract: We study the inverse proximity effect in a bilayer consisting of a thin s-or d-wave superconductor (S) and a topological insulator (TI). Integrating out the topological fermions of the TI, we find that spin-orbit coupling is induced in the S, which leads to spin-triplet p-wave (f -wave) correlations in the anomalous Green's function for an s-wave (d-wave) superconductor. Solving the self-consistency equation for the superconducting order parameter, we find that the inverse proximity effect can be strong for pa… Show more

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Cited by 12 publications
(8 citation statements)
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References 49 publications
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“…Most previous studies have focused on the superconductivity induced in the TI layers. Less studied, however, is the feedback of TI layers on the HTSC layer [24]. In this section, we fix the chemical potential µ TI of Bi 2 Se 3 and vary the chemical potential µ SC of the HTSC layer, as well as the tunneling amplitudes t 1 = t 2 between the first TI layer and the HTSC layer, and show their effect on the superconducting order parameters.…”
Section: B Effects Of the Ti Layers On The Cupratementioning
confidence: 99%
See 1 more Smart Citation
“…Most previous studies have focused on the superconductivity induced in the TI layers. Less studied, however, is the feedback of TI layers on the HTSC layer [24]. In this section, we fix the chemical potential µ TI of Bi 2 Se 3 and vary the chemical potential µ SC of the HTSC layer, as well as the tunneling amplitudes t 1 = t 2 between the first TI layer and the HTSC layer, and show their effect on the superconducting order parameters.…”
Section: B Effects Of the Ti Layers On The Cupratementioning
confidence: 99%
“…The effect of correlations on the HTSC layer and of its hybridization with the TI layer have not been fully taken into account. Moreover, no attention has been paid to possible feedback of the TI layer onto the HTSC layer [24]. These are the topics we will address in this paper.…”
Section: Introductionmentioning
confidence: 99%
“…With the Fermi momentum fixed, the chemical potential is determined by setting the Fermi energy to zero, E F ≡ E kF,+ = 0, yielding µ = F kF . The chemical potential should not be too high since the bulk bands will then influence the physics on the TI surface [40]. With the parameters used in this paper, µ is kept in the region 100 meV to 160 meV, ensuring that it is reasonable to ignore the bulk bands in the treatment of the TI surface [40].…”
Section: Self-energy and Renormalized Green's Functionmentioning
confidence: 99%
“…(37) and (38), suppressing any variations in the DOS, g, and photoexcitation matrix elements M for simplicity. The lattice constant is set to a = 7 Å, such that our choice of Fermi velocity corresponds to v F ≈ 4.56×10 5 m/s, which is within the range of reported values [6,8,21,40,56,57]. Each set of figures is then convolved with two different sets of assumed energy, E, and momentum, k, resolutions.…”
Section: Towards Experimental Measurementmentioning
confidence: 99%
“…On the theoretical side, several 3DTI/superconductor coupled systems have been studied [1,[20][21][22][23][24][25][26]. Generally, there are two theoretical methods to study the proximity effect in a heterostructure system.…”
Section: Introductionmentioning
confidence: 99%