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A Josephson junction, formed between two phase-biased superconductors and a normal metal, hosts a discrete spectrum of Andreev bound states (ABS). In this paper, we develop a theory for long ballistic Andreev interferometers in…

Mesoscale and Nanoscale Physics · Physics 2025-01-15 Régis Mélin , Asmaul Smitha Rashid , Morteza Kayyalha

Josephson junctions formed by finite-length topological superconductors host four Majorana zero modes when the phase difference between the superconductors is $\varphi=\pi$ and their length is larger than the Majorana localization length.…

Superconductivity · Physics 2025-12-23 Jorge Cayao , Masatoshi Sato

In an extended superconductor-topological insulator-superconductor (S-TI-S) Josephson junction in a magnetic field, localized Majorana bound states (MBS) are predicted to exist at the cores of Josephson vortices where the local phase…

Topological Josephson junctions designed on the surface of a 3D-topological insulator (TI) harbor Majorana bound states (MBS's) among a continuum of conventional Andreev bound states. The distinct feature of these MBS's lies in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 K. Le Calvez , L. Veyrat , F. Gay , P. Plaindoux , C. Winkelmann , H. Courtois , B. Sacépé

The Josephson effect describes the generic appearance of a supercurrent in a weak link between two superconductors. Its exact physical nature however deeply influences the properties of the supercurrent. Detailed studies of Josephson…

We develop a general perturbative framework based on a superconducting atomic limit for the description of Andreev bound states (ABS) in interacting quantum dots connected to superconducting leads. A local effective Hamiltonian for dressed…

Strongly Correlated Electrons · Physics 2013-05-29 Tobias Meng , Pascal Simon , Serge Florens

We consider a long topological Josephson junction formed on a conducting 2D surface of a 3D topological insulator (TI). The superconducting correlations are proximity-induced by s-wave superconductors covering the surface. The 1D spacing…

Superconductivity · Physics 2021-03-24 Stefan Backens , Alexander Shnirman

We propose a scheme to detect the Majorana bound states (MBSs) by a thermodynamically stable D.C. Josephson current with $4\pi$-periodicity in the superconducting phase difference, which is distinct from the previous A.C. $4\pi$-periodicity…

Superconductivity · Physics 2014-09-22 Zhan Cao , Tie-Feng Fang , Hong-Gang Luo

One of the salient signatures of Majorana zero modes and topological superconductivity is a $4\pi$-periodic Josephson effect due to the combination of fermion parity conservation and the presence of a topologically protected odd number of…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Christian Spånslätt

It is known that the low-energy physics of the Josephson effect in the presence of Majorana zero modes exhibits a $4\pi$ periodicity as the Aharonov-Bohm flux varies in contrast to the $2\pi$ Josephson periodicity in usual superconducting…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Ching-Kai Chiu , S. Das Sarma

Tunneling spectroscopy measurements are often used to probe the energy spectrum of Andreev bound states (ABSs) in semiconductor-superconductor hybrids. Recently, this spectroscopy technique has been incorporated into planar Josephson…

We propose a theoretical model describing a Josephson junction featuring a magnetically textured barrier within two-dimensional (2D) $p$-wave superconductor, considering both $p_x + p_y$ and $p_x + ip_y$ type pairing symmetries. Our study…

Superconductivity · Physics 2025-09-29 Minakshi Subhadarshini , Amartya Pal , Pritam Chatterjee , Arijit Saha

Among the potential applications of topological insulators, we investigate theoretically the effect of coexistence of proximity-induced ferromagnetism and superconductivity on the surface states of 3-dimensional topological insulator, where…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Hadi Goudarzi , Maryam Khezerlou , Samin Asgarifar

Superconducting proximity junctions made of topological insulator (TI) nanoribbons (NRs) provide a useful platform for studying topological superconductivity. We report on the fabrication and measurement of Josephson junctions (JJs) using…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Rak-Hee Kim , Nam-Hee Kim , Bongkeon Kim , Yasen Hou , Dong Yu , Yong-Joo Doh

The tunneling junction between one-dimensional topological superconductor and integer (fractional) topological insulator (TI), realized via point contact, is investigated theoretically with bosonization technology and renormalization group…

Strongly Correlated Electrons · Physics 2016-08-03 Zheng-Wei Zuo , Da-wei Kang , Zhao-Wu Wang , Liben Li

A lateral Josephson junction in which the surface of a 3D topological insulator serves as the weak link should support topologically protected excitations related to Majorana fermions. The resulting $4\pi$-periodic current-phase…

Andreev bound states ubiquitously emerge as a consequence of nontrivial topological structures of the order parameter of superfluids and superconductors and significantly contribute to thermodynamics and low-energy quantum transport…

Superconductivity · Physics 2018-07-03 Takeshi Mizushima , Kazushige Machida

Experimental evidence for Majorana bound states (MBSs) is so far mainly based on the robustness of a zero-bias conductance peak. However, similar features can also arise due to Andreev bound states (ABSs) localized at the end of an island.…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Michael Hell , Karsten Flensberg , Martin Leijnse

In this work we show that Rashba-based topological superconductor nanowires, where the spin-orbit coupling may change its sign, support three topological phases protected by chiral symmetry. When a superconducting phase gradient is applied…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Teemu Ojanen

Superconductor-topological insulator-superconductor Josephson junctions have been fabricated in order to study the width dependence of the critical current, normal state resistance and flux periodicity of the critical current modulation in…

Superconductivity · Physics 2015-06-22 C. G. Molenaar , D. P. Leusink , X. L. Wang , A. Brinkman