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Superconductor-Ferromagnetic-Superconductor (SFS) Josephson junctions are known to exhibit a transition between $\pi$ and 0 states. In this note we find the $\pi-0$ phase diagram of an SFS junction depending on the transparency of an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 N. M. Chtchelkatchev , W. Belzig , Yu. V. Nazarov , C. Bruder

We study fermion-parity-changing quantum phase transitions (QPTs) in platform Josephson junctions. These QPTs, associated with zero-energy bound states, are rather widely observed experimentally. They emerge from numerical calculations…

Superconductivity · Physics 2018-08-14 Chien-Te Wu , F. Setiawan , Brandon M. Anderson , Wei-Han Hsiao , K. Levin

One of the consequences of Cooper pairs having a finite momentum in the interlayer of a Josephson junction, is $\pi$-junction behavior. The finite momentum can either be due to an exchange field in ferromagnetic Josephson junctions, or due…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Chuan Li , Bob de Ronde , Jorrit de Boer , Joost Ridderbos , Floris Zwanenburg , Yingkai Huang , Alexander Golubov , Alexander Brinkman

Majorana bound states in topological superconductors have been predicted to appear in the form of zero-bias conductance peaks of height $2e^{2}/h$, which represents one of the most studied signatures so far. Here, we show that quasi…

Mesoscale and Nanoscale Physics · Physics 2021-10-11 Jorge Cayao , Pablo Burset

We investigate the quantum phase transition in a one-dimensional chain of ultra-small superconducting grains, considering both the self- and junction capacitances. At zero temperature, the system is transformed into a two-dimensional system…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Mahn-Soo Choi , J. Yi , M. Y. Choi , J. Choi , S. -I. Lee

We discuss electric transport through a point contact which bridges Majorana fermion modes appearing at edges of two helical superconductors. The contents focus on effects of interference and interaction unique to the Majorana fermions and…

Superconductivity · Physics 2010-08-05 Yasuhiro Asano , Yukio Tanaka , Naoto Nagaosa

We characterize the Majorana zero modes in topological hybrid superconductor-semiconductor wires with spin-orbit coupling and magnetic field, in terms of generalized Bloch coordinates $\varphi, \theta, \delta$, and analyze their…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Armando A. Aligia , Diego Pérez Daroca , Liliana Arrachea

Majorana Bound States are predicted to appear as boundary states of the Kitaev model. Here we show that a pi-Josephson Junction, inserted in a topologically non trivial model ring, sustains a Majorana Bound State, which is robust with…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 P. Lucignano , F. Tafuri , A. Tagliacozzo

Charge transport through a small topological superconducting island in contact with a normal and a superconducting electrode occurs through a cycle that involves coherent oscillations of Cooper pairs and tunneling in/out the normal…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Nicolas Didier , Marco Gibertini , Ali G. Moghaddam , Jürgen König , Rosario Fazio

In recent years, experimental advances have made it possible to achieve an unprecedented degree of control over the properties of subgap bound states in hybrid nanoscale superconducting structures. This research has been driven by the…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Rubén Seoane Souto , Ramón Aguado

We study a two-terminal graphene Josephson junction with contacts shaped to form a narrow constriction, less than 100nm in length. The contacts are made from type II superconducting contacts and able to withstand magnetic fields high enough…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 M. T. Wei , A. W. Draelos , A. Seredinski , C. T. Ke , H. Li , Y. Mehta , K. Watanabe , T. Taniguchi , M. Yamamoto , S. Tarucha , G. Finkelstein , F. Amet , I. V. Borzenets

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 demonstrate that the mode number of Andreev bound states in bilayer graphene Josephson junctions can be modulated by in situ control of the superconducting coherence length. By exploiting the quadratic band dispersion of bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-06-03 Geon-Hyoung Park , Wonjun Lee , Sein Park , Kenji Watanabe , Takashi Taniguchi , Gil Young Cho , Gil-Ho Lee

The creation of topological quantum gates using Majorana zero modes -- an outstanding problem in the field of topological quantum computing -- relies on our ability to control the braiding process of these particles in time and space. Here,…

Mesoscale and Nanoscale Physics · Physics 2023-02-13 Jasmin Bedow , Eric Mascot , Themba Hodge , Stephan Rachel , Dirk K. Morr

Recently, gate-defined Josephson junctions in magic angle twisted bilayer graphene (MATBG) were studied experimentally and highly unconventional Fraunhofer patterns were observed. In this work, we show that an interaction-driven…

Mesoscale and Nanoscale Physics · Physics 2023-05-01 Ying-Ming Xie , Dmitri K. Efetov , K. T. Law

Motivated by recent experiments demonstrating intricate quantum Hall physics on the surface of elemental bismuth, we consider proximity coupling an $s$-wave superconductor to a two-dimensional electron gas with strong Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-03-25 Ryan V. Mishmash , A. Yazdani , Michael P. Zaletel

Experimental techniques to verify Majoranas are of current interest. A prominent test is the effect of Majoranas on the Josephson current between two wires linked via a normal junction. Here, we study the case of a quantum dot connecting…

Mesoscale and Nanoscale Physics · Physics 2020-02-03 J. Schulenborg , K. Flensberg

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

Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

Superconductor/ferromagnet/superconductor Josephson junctions with anomalous phase shift $\varphi_0$ ($\varphi_0$-S/F/S JJs) implement a coupling between the superconducting phase and the spin degrees of freedom. Here we investigate the…

Superconductivity · Physics 2024-10-31 G. A. Bobkov , A. M. Bobkov , I. V. Bobkova
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