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The search for topological superconductors (TSCs) is one of the most urgent contemporary problems in condensed matter systems. TSCs are characterized by a full superconducting gap in the bulk and topologically protected gapless surface (or…

We present a study of the behaviour of metastable vortex states in mesoscopic superconductors. Our analysis relies on the London limit within which it is possible to derive closed analytical expressions for the magnetic field and the Gibbs…

Superconductivity · Physics 2009-10-31 E. Akkermans , D. M. Gangardt , K. Mallick

In mesoscopic two-gap superconductors with sizes of the order of the coherence length noncomposite vortices are found to be thermodynamically stable in a large domain of the $T - H$ phase diagram. In these phases the vortex cores of one…

Superconductivity · Physics 2009-11-13 L. F. Chibotaru , V. H. Dao , A. Ceulemans

We show that the existence of a pair of zero-energy modes bound to a vortex carrying a pi-flux is a generic feature of the topologically non-trivial phase of the M-B model, which was introduced to describe the topological band insulator in…

Mesoscale and Nanoscale Physics · Physics 2013-01-21 Andrej Mesaros , Robert-Jan Slager , Jan Zaanen , Vladimir Juricic

Majorana bound states (MBS) at the end of nanowires have been proposed as one of the most important candidate for the topological qubits. However, similar tunneling conductance features for both the MBS and Andreev bound states (ABS) have…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Dibyajyoti Sahu , Vipin Khade , Suhas Gangadharaiah

A monopole harmonic superconductor is a novel topological phase of matter with topologically protected gap nodes that result from the non-trivial Berry phase structure of Cooper pairs. In this work we propose to realize a monopole…

Superconductivity · Physics 2020-01-16 Canon Sun , Shu-Ping Lee , Yi Li

In modern experiments with hybrid superconducting (SC)/semiconducting nanowires the presence of zero-energy Andreev bound states (ABSs), characterized by a partial overlap of the Majorana wave functions, is a common problem that…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 S. V. Aksenov

We study Majorana zero modes bound to giant vortices in topological superconductors or topological insulator/normal superconductor heterostructures. By expanding in inverse powers of a large winding number $n$, we find an analytic solution…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Logan Gates , Alexander A. Penin

Semiconductors in the proximity of superconductors have been proposed to support phases hosting Majorana bound states. When the systems undergo a topological phase transition towards the Majorana phase, the spectral gap closes, then…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

The combination of two-dimensional Dirac surface states with s-wave superconductivity is expected to generate localized topological Majorana zero modes in vortex cores. Putative experimental signatures of these modes have been reported for…

Mesoscale and Nanoscale Physics · Physics 2022-07-18 Björn Sbierski , Max Geier , An-Ping Li , Matthew Brahlek , Robert G. Moore , Joel E. Moore

The zero temperature vortex phase diagram for uniaxial anisotropic superconductors placed in an external magnetic field tilted with respect to the axis of anisotropy is studied for parameters typical of BSCCO and YBCO. The exact Gibbs free…

Superconductivity · Physics 2009-11-07 W. A. M. Morgado , M. M. Doria , G. Carneiro , I. G. de Oliveira

Majorana zero modes (MZMs) obey non-Abelian statistics and are considered building blocks for constructing topological qubits. Iron-based superconductors with topological band structures have emerged as promising hosting materials, since…

By solving the Bogoliubov--De Gennes equations analytically, we derive the fermionic zero-modes satisfying the Majorana property that exist in vortices of a two-dimensional $s$-wave Fermi superfluid with spin-orbit coupling and Zeeman…

Quantum Gases · Physics 2019-11-19 L. A. Toikka

The transition-metal-based kagome metals provide a versatile platform for correlated topological phases hosting various electronic instabilities. While superconductivity is rare in layered kagome compounds, its interplay with nontrivial…

Detailed tunneling spectroscopy of vortex core states can provide important insight to the momentum structure of the superconducting order parameter. We present a theoretical study of vortex bound states in iron-based superconductors by use…

Superconductivity · Physics 2016-06-06 B. Mencia Uranga , Maria N. Gastiasoro , Brian M. Andersen

Andreev bound states (ABSs) in hybrid semiconductor-superconductor nanowires can have near-zero energy in parameter regions where band topology predicts trivial phases. This surprising fact has been used to challenge the interpretation of a…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 J. Avila , F. Peñaranda , E. Prada , P. San-Jose , R. Aguado

Superconducting vortices can reveal electron pairing details and nucleate topologically protected states. Yet, vortices of bulk spin-triplet superconductors have never been visualized. Recently, UTe$_2$ has emerged as a nominative…

In type-II superconductors, magnetic fields modulate the amplitude and phase of the superconducting order parameter, forming quantized vortices where superconductivity is locally suppressed and exotic bound states or competing electronic…

We theoretically investigate electronic transport through a junction where a quantum dot (QD) is tunnel coupled on both sides to semiconductor nanowires with strong spin-orbit interaction and proximity-induced superconductivity. The results…

Superconductivity · Physics 2014-12-09 Guang-Yao Huang , Martin Leijnse , Karsten Flensberg , Hongqi Xu

Proposed approaches to topological quantum computation based on Majorana bound states may enable new paths to fault-tolerant quantum computing. Several recent experiments have suggested that the vortex cores of topological superconductors,…

Superconductivity · Physics 2021-09-08 Chengyun Hua , Gábor B. Halász , Eugene Dumitrescu , Matthew Brahlek , Benjamin Lawrie