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The emergence of Majorana bound states in finite length superconductor-semiconductor hybrid systems has been predicted to occur in the form of oscillatory energy levels with parity crossings around zero energy. Each zero-energy crossing is…

Mesoscale and Nanoscale Physics · Physics 2024-08-21 Jorge Cayao

We theoretically study the anomalous proximity effect in a ballistic normal metal/diffusive normal metal/superconductor junction based on Rashba semiconductor nanowire model. The system hosts two distinct phases: a trivial helical phase…

Superconductivity · Physics 2025-10-20 Eslam Ahmed , Yukio Tanaka , Jorge Cayao

Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

We investigate odd-frequency superconducting correlations in normal-superconductor (NS) and short superconductor-normal-superconductor (SNS) junctions with the S region described by the Kitaev model of spinless fermions in one dimension. We…

Mesoscale and Nanoscale Physics · Physics 2019-09-26 Athanasios Tsintzis , Annica M. Black-Schaffer , Jorge Cayao

Odd-frequency superconductivity represents a truly unconventional ordered state which, in contrast to conventional superconductivity, exhibits pair correlations which are odd in relative time and, hence, inherently dynamical. In this review…

Mesoscale and Nanoscale Physics · Physics 2020-02-14 Jorge Cayao , Christopher Triola , Annica M. Black-Schaffer

Majorana zero modes have been shown to be the simplest quasiparticles exhibiting pure odd-frequency pairing, an effect that has so far been theoretically established in the static regime. In this work, we investigate the formation of…

Superconductivity · Physics 2025-01-23 Eslam Ahmed , Shun Tamura , Yukio Tanaka , Jorge Cayao

Hybrid superconductor-semiconductor nanowires with Rashba spin-orbit coupling are arguably becoming the leading platform for the search of Majorana bound states (MBSs) in engineered topological superconductors. We perform a systematic…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 Jorge Cayao , Annica M. Black-Schaffer , Elsa Prada , Ramón Aguado

Recent work on Majorana-bound states in semiconductor-superconductor hybrid structures has elucidated the key role of unintentional (and unknown) disorder (producing low-energy Andreev-bound states) in the system, which is detrimental to…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Haining Pan , Jacob R. Taylor , Jay D. Sau , Sankar Das Sarma

In two-dimensional topological nodal superconductors, Majorana edge states have been conventionally believed to exhibit only spin-triplet pairing correlations. However, we reveal a substantial spin-singlet pairing component in Majorana edge…

Superconductivity · Physics 2025-06-10 Junjie Zeng , James Jun He , Zhen Ning , Dong-Hui Xu , Rui Wang

We study edge states of non-centrosymmetric superconductors where spin-singlet d-wave pairing mixes with spin-triplet p (or f)-wave one by spin-orbit coupling. For dxy-wave pairing, the obtained Andreev bound state has an anomalous…

Superconductivity · Physics 2010-09-10 Yukio Tanaka , Yoshihiro Mizuno , Takehito Yokoyama , Keiji Yada , Masatoshi Sato

Josephson junctions coupled through magnetic textures provide a controllable platform for odd-frequency superconductivity and Majorana physics. Within a tight-binding Green function framework, induced pair correlations and spectral…

Superconductivity · Physics 2026-05-11 Ignacio Sardinero , Jorge Cayao , Rubén Seoane Souto , Pablo Burset

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

Majorana bound states emerge in topological superconductors as zero-energy edge states exhibiting spatial nonlocality. Despite the enormous advances, the detection of Majorana bound states is still challenging mainly because topologically…

Mesoscale and Nanoscale Physics · Physics 2024-12-13 Vimalesh Kumar Vimal , Jorge Cayao

Motivated by an important recent experiment [Deng et al., Science 354, 1557 (2016)], we theoretically consider the interplay between Andreev bound states(ABSs) and Majorana bound states(MBSs) in quantum dot-nanowire semiconductor systems…

Mesoscale and Nanoscale Physics · Physics 2017-09-07 Chun-Xiao Liu , Jay D. Sau , Tudor D. Stanescu , S. Das Sarma

To guide experimental work on the search for Majorana zero-energy modes, we calculate the superconducting pairing symmetry of a three-dimensional topological insulator in combination with an s-wave superconductor. In analogy to the case of…

Superconductivity · Physics 2015-07-28 M. Snelder , A. A. Golubov , Y. Asano , A. Brinkman

Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 A. Vuik , B. Nijholt , A. R. Akhmerov , M. Wimmer

A topological superfluid phase characterized by an emergent chiral-p-wave pair potential is expected to form in a two-dimensional Fermi superfluid subject to s-wave pairing, spin-orbit coupling and a large-enough Zeeman splitting. Andreev…

Quantum Gases · Physics 2023-05-17 Kadin Thompson , Joachim Brand , Ulrich Zülicke

Electronic excitations above the ground state must overcome an energy gap in superconductors with spatially-homogeneous s-wave pairing. In contrast, inhomogeneous superconductors such as those with magnetic impurities or weak links, or…

The recent experimental observations of decaying energy oscillations in semiconductor-superconductor Majorana nanowires is in contrast with the typical expectations based on the presence of Majorana zero modes localized at the ends of the…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Gargee Sharma , Chuanchang Zeng , Tudor D. Stanescu , Sumanta Tewari

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
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