2018
DOI: 10.1103/physrevb.97.174518
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Josephson junctions of multiple superconducting wires

Abstract: We study the spectrum of Andreev bound states and Josephson currents across a junction of N superconducting wires which may have s-or p-wave pairing symmetries and develop a scattering matrix based formalism which allows us to address transport across such junctions. For N ≥ 3, it is well known that Berry curvature terms contribute to the Josephson currents; we chart out situations where such terms can have relatively large effects. For a system of three s-or three p-wave superconductors, we provide analytic e… Show more

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Cited by 42 publications
(28 citation statements)
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“…These materials have attracted a great deal of attention due to their fascinating proprieties at room temperature, such as the good transparency in the infrared and visible spectrum (gap ~ 2.5 eV) and the very large magneto-optical (MO) Faraday effect (~ 10 4 deg/cm at 2.4 eV) [28], which make them suitable for MO recoding media and non-reciprocal MO devices [27,29]. Beside the technological importance of the large MO effects, they have also been used as an efficient tool to study fundamental science related to magnetism in Bi-YIG such as the spin dependent band structure [30] as well as light-induced ultrafast magnetization dynamics and switching [31][32][33][34][35][36].…”
Section: Sample Properties and Experimental Methodsmentioning
confidence: 99%
“…These materials have attracted a great deal of attention due to their fascinating proprieties at room temperature, such as the good transparency in the infrared and visible spectrum (gap ~ 2.5 eV) and the very large magneto-optical (MO) Faraday effect (~ 10 4 deg/cm at 2.4 eV) [28], which make them suitable for MO recoding media and non-reciprocal MO devices [27,29]. Beside the technological importance of the large MO effects, they have also been used as an efficient tool to study fundamental science related to magnetism in Bi-YIG such as the spin dependent band structure [30] as well as light-induced ultrafast magnetization dynamics and switching [31][32][33][34][35][36].…”
Section: Sample Properties and Experimental Methodsmentioning
confidence: 99%
“…In a similar experiment a single NV center was used to create this topological structure of a tensor monopole [24]. Another prominent approach to topology in synthetic dimensions are multiterminal Josephson junctions [25,26,27,28,29,30,31,32,33,34] or topological superconducting circuits [35,36,37], where the topology is defined in the space of superconducting phases. Due to the scalability, superconducting Josephson circuits are the most promising candidate for realistic implementations of quantum technologies, see for example the reviews [38,39].…”
Section: Introductionmentioning
confidence: 99%
“…Alternatively, engineering topologically nontrivial ABS dispersions with nodal and Weyl points is also possible in three and four-terminal Josephson junctions consisting of conventional s-wave SCs connected through a normal-metal region [89][90][91]. In this case, the presence of the Weyl points and their associated topological monopole charge leads to a quantized transconductance [91][92][93], a remarkable finding that persists even in the presence of spin-orbit coupling [90] or an external magnetic field [94,95]. Along these lines, the substitution of the conventional SC leads by topological ones provides a new twist in the ABS engineering.…”
Section: Introductionmentioning
confidence: 99%