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We theoretically investigate the Josephson effect between two proximized Fibonacci quasicrystals. A quasiperiodic modulation of the chemical potential on a superconducting substrate induces topological gaps and edge modes with energies…

Superconductivity · Physics 2026-05-11 Ignacio Sardinero , Jorge Cayao , Keiji Yada , Yukio Tanaka , Pablo Burset

Josephson weak links made of two-dimensional topological insulators (TIs) exhibit magnetic oscillations of the supercurrent that are reminiscent of those in superconducting quantum interference devices (SQUIDs). We propose a microscopic…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 G. Tkachov , P. Burset , B. Trauzettel , E. M. Hankiewicz

We study junctions between superconductors mediated by the edge states of a quantum spin Hall insulator. We show that such junctions exhibit a fractional Josephson effect, in which the current phase relation has a 4\pi, rather than a 2\pi…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Liang Fu , C. L. Kane

Wires made of topological insulators (TI) are a promising platform for searching for Majorana bound states. These states can be probed by analyzing the fractional ac Josephson effect in Josephson junctions with the TI wire as a weak link.…

In the seminal proposal by Fu and Kane, the superconducting proximity effect is used to realize topological superconductivity in the topological surface state (TSS) of a 3D topological insulator (TI). In a line Josephson junction made on…

In this letter we study the effect of time-reversal symmetric impurities on the Josephson supercurrent through two dimensional helical metals such as on topological insulator surface state. We show that contrary to the usual…

Superconductivity · Physics 2016-01-27 Pouyan Ghaemi , V. P. Nair

Using non-equilibrium Green's functions, we studied numerically the transport properties of a Josephson junction, superconductor-topological insulator-superconductor hybrid system. Our numerical calculation shows first that…

Superconductivity · Physics 2016-05-11 Juntao Song , Haiwen Liu , Jie Liu , Yuxian Li , Robert Joynt , Qing-feng Sun , X. C. Xie

We study the proximity effect in the Hubbard model coupled to BCS superconductors describing a single-layer strongly correlated electron system in a phase-biased Josephson junction. We find two distinct gapped solutions, one Mott-like…

Strongly Correlated Electrons · Physics 2026-02-17 Don Rolih , Rok Žitko

We theoretically study superconducting proximity effect between a topological insulator (TI) and a high-temperature d-wave superconductor (dSC). When the TI-dSC heterostructure violates 90 degree-rotation and certain reflection symmetries,…

Strongly Correlated Electrons · Physics 2015-06-30 Zi-Xiang Li , Cheung Chan , Hong Yao

Proximity induced superconducting states in the surface of magnetically doped topological insulators can host chiral Majorana modes. We consider a Josephson junction in that system with changing the chemical potential, which drives a…

Superconductivity · Physics 2019-09-25 Tsubasa Toki , Sho Nakosai , Yukio Tanaka , Yuki Kawaguchi

We show that every even-denominator fractional quantum Hall (FQH) state possesses at least two robust, topologically distinct gapless edge phases if charge conservation is broken at the boundary by coupling to a superconductor. The new edge…

Strongly Correlated Electrons · Physics 2015-07-24 Maissam Barkeshli , Chetan Nayak

We explore a spin Josephson effect in a system of two ferromagnets coupled by a tunnel junction formed of 2D time-reversal invariant topological insulators. In analogy with the more commonly studied instance of the Josephson effect for…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Vasudha Shivamoggi , Taylor L. Hughes , Matthew J. Gilbert , Smitha Vishveshwara

We calculate supercurrent across a two-dimensional topological insulator subjected to an external magnetic field. When the edge states of a narrow two-dimensional topological insulator are hybridized, an external magnetic field can close…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Alexander Zyuzin , Mohammad Alidoust , Jelena Klinovaja , Daniel Loss

The anomalous proximity effect in dirty superconducting junctions is one of most striking phenomena highlighting the profound nature of Majorana bound states and odd-frequency Cooper pairs in topological superconductors. Motivated by the…

Superconductivity · Physics 2020-11-04 Satoshi Ikegaya , Shun Tamura , Dirk Manske , Yukio Tanaka

In superconductor-topological insulator-superconductor hybrid junctions, the barrier edge states are expected to be protected against backscattering, to generate unconventional proximity effects, and, possibly, to signal the presence of…

Time reversal invariant topological superconducting (TRITOPS) wires are known to host a fractional spin hbar/4 at their ends. We investigate how this fractional spin affects the Josephson current in a TRITOPS-quantum dot-TRITOPS Josephson…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Alberto Camjayi , Liliana Arrachea , Armando Aligia , Felix von Oppen

We study superconducting quantum interference in a Josephson junction linked via edge states in two-dimensional (2D) insulators. We consider two scenarios in which the 2D insulator is either a topological or a trivial insulator supporting…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Tamás Haidekker Galambos , Silas Hoffman , Patrik Recher , Jelena Klinovaja , Daniel Loss

We study theoretically proximity-induced superconductivity and ferromagnetism on the surface of a topological insulator. In particular, we investigate how the Andreev-bound states are influenced by the interplay between these phenomena,…

Superconductivity · Physics 2015-05-18 Jacob Linder , Yukio Tanaka , Takehito Yokoyama , Asle Sudbø , Naoto Nagaosa

Certain insulating materials with strong spin-orbit coupling can conduct currents along their edges or surfaces. This phenomenon arises from the non-trivial topological properties of the electronic band-structure, and is somewhat similar to…

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

We investigate the effect of helical Majorana fermions at the surface of superconducting topological insulators (STI) on the Josephson current by referring to possible pairing states of Cu-doped Bi2Se3. The surface state in the present STI…

Superconductivity · Physics 2013-04-02 Ai Yamakage , Masatoshi Sato , Keiji Yada , Satoshi Kashiwaya , Yukio Tanaka