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We investigate Josephson junctions on the surface of a three-dimensional topological insulator in planar, step, and edge geometries. The elliptical nature of the Dirac cone representing the side surface states of the topological insulator…

Mesoscale and Nanoscale Physics · Physics 2014-08-11 Jennifer Nussbaum , Thomas L. Schmidt , Christoph Bruder , Rakesh P. Tiwari

We propose a Josephson junction setup based on a topological insulator (TI) thin film to detect Majorana states, which exploits the unique helical and extended nature of the TI surface state. When the magnetic flux through the junction is…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Andrew C. Potter , Liang Fu

We bring forward a unified framework for the study of the superfluid stiffness and the quantum capacitance of superconducting platforms exhibiting conventional spin-singlet pairing. We focus on systems which in their normal phase contain…

Superconductivity · Physics 2024-08-14 Jun-Ang Wang , Mohamed Assili , Panagiotis Kotetes

We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent sub-gap Andreev bound states in a multidimensional…

Superconductivity · Physics 2019-04-03 Hong-Yi Xie , Alex Levchenko

We show that Josephson junctions made of multiband semiconductors with strong spin-orbit coupling carry a critical supercurrent $I_c$ that contains information about the non-trivial topology of the system. In particular, we find that the…

Mesoscale and Nanoscale Physics · Physics 2014-04-22 Pablo San-Jose , Elsa Prada , Ramón Aguado

Josephson junctions enable dissipation-less electrical current through metals and insulators below a critical current. Despite being central to quantum technology based on superconducting quantum bits and fundamental research into…

A material whose electrons are correlated can affect electron dynamics across the interface with another material. Such a "proximity effect" can have several manifestations, from order parameter leakage to generated effective interactions.…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Zlatko Tesanovic

Edge states reveal the nontrivial topology of energy band in the bulk. As localized states at boundaries, many-body edge states may obey a special symmetry that is broken in the bulk. When local particle-particle interaction is induced,…

Strongly Correlated Electrons · Physics 2021-11-25 K. L. Zhang , Z. Song

Josephson junctions form the essential non-linearity for almost all superconducting qubits. The junction is formed when two superconducting electrodes come within $\sim$1 nm of each other. Although the capacitance of these electrodes is a…

Topological states require the presence of extended bulk states, as usually found in the picture of energy bands and topological states bridging the bulk gaps. But in driven systems this can be circumvented, and one can get topological…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Esteban A. Rodriguez-Mena , L. E. F. Foa Torres

We investigate the Josephson transport through ferromagnetic insulators (FIs) by taking into account the band structure of FIs explicitly. Using the recursive Green's function method, we found the formation of a pi-junction in such systems.…

Superconductivity · Physics 2013-11-13 Shiro Kawabata , Yasuhiro Asano

Designing the spatial profile of the superconducting gap -- gap engineering -- has long been recognized as an effective way of controlling quasiparticles in superconducting devices. In aluminum films, their thickness modulates the gap;…

Mesoscale and Nanoscale Physics · Physics 2023-01-02 Giampiero Marchegiani , Luigi Amico , Gianluigi Catelani

Topological edge states arise at the interface of two topologically-distinct structures and have two distinct features: they are localized and robust against symmetry protecting disorder. On the other hand, conventional transport in one…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Jannatul Ferdous , Cem Yuce , Andrea Alù , Hamidreza Ramezani

Recent discoveries have spurred the theoretical prediction and experimental realization of novel materials that have topological properties arising from band inversion. Such topological insulators are insulating in the bulk but have…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 M. Kotulla , U. Zülicke

We study the proximity effect between an s-wave superconductor and the surface states of a strong topological insulator. The resulting two dimensional state resembles a spinless p_x+ip_y superconductor, but does not break time reversal…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Liang Fu , C. L. Kane

The Josephson effect characterizes superfluids and superconductors separated by a weak link, the so-called Josephson junction. A recent experiment has shown that Josephson oscillations can be observed also in a supersolid, where the weak…

We study two microscopic models of topological insulators in contact with an $s$-wave superconductor. In the first model the superconductor and the topological insulator are tunnel coupled via a layer of scalar and of randomly oriented spin…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Constantin Schrade , A. A. Zyuzin , Jelena Klinovaja , Daniel Loss

Even in the absence of Coulomb interactions phase fluctuations induced by quantum size effects become increasingly important in superconducting nano-structures as the mean level spacing becomes comparable with the bulk superconducting gap.…

Superconductivity · Physics 2014-03-05 Pedro Ribeiro , Antonio M. García-García

We investigate the Josephson effect between two coupled superconductors, coupled by the tunneling of pairs of electrons, in the regime that their energy level spacing is comparable to the bulk superconducting gap, but neglecting any…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Dominique Gobert , Ulrich Schollwock , Jan von Delft

Floquet topological insulators are systems in which the topology emerges out of equilibrium when a time periodic perturbation is applied. In these systems one can define quasi-energy states which replace the quilibrium stationary states.…

Strongly Correlated Electrons · Physics 2016-01-27 Aaron Farrell , T. Pereg-Barnea
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