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• W2482714131 abstract "The interplay of superconductivity, magnetic fields, and spin-orbit interaction lies at the heart of topological superconductivity. Remarkably, the recent experimental discovery of $varphi_{0}$ Josephson junctions by Szombati et al., Nat. Phys. 12, 568 (2016), characterized by a finite phase offset in the supercurrent, require the same ingredients as topological superconductors, which suggests a profound connection between these two distinct phenomena. Here, we theoretically show that a quantum dot $varphi_{0}$ Josephson junction can serve as a new qualitative indicator for topological superconductivity: Microscopically, we find that the phase shift in a junction of $s-$wave superconductors is due to the spin-orbit induced mixing of singly occupied states on the qantum dot, while for a topological superconductor junction it is due to singlet-triplet mixing. Because of this important difference, when the spin-orbit vector of the quantum dot and the external Zeeman field are orthogonal, the $s$-wave superconductors form a $pi$ Josephson junction while the topological superconductors have a finite offset $varphi_{0}$ by which topological superconductivity can be distinguished from conventional superconductivity. Our prediction can be immediately tested in nanowire systems currently used for Majorana fermion experiments and thus offers a new and realistic approach for detecting topological bound states." @default.
• W2482714131 created "2016-08-23" @default.
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• W2482714131 date "2017-05-19" @default.
• W2482714131 modified "2023-09-26" @default.
• W2482714131 title "Detecting topological superconductivity with <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>φ</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math> Josephson junctions" @default.
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• W2482714131 doi "https://doi.org/10.1103/physrevb.95.195421" @default.
• W2482714131 hasPublicationYear "2017" @default.
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