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Abrikosov vortices play a central role in the disruption of superconductivity in type-II superconductors. It is commonly accepted that as one moves away from the vortex's axis of an $s$-wave superconductor, the density of superconductive…

Superconductivity · Physics 2025-10-29 Eugene B. Kolomeisky , Mia Kyler , Ishaan U. Patel

We calculate the density of states of a disordered inhomogeneous d-wave superconductor in a magnetic field. The field-induced vortices are assumed to be pinned at random positions and the effects of the scattering of the quasi-particles off…

Superconductivity · Physics 2007-05-23 J. Lages , P. D. Sacramento , Z. Tesanovic

Focusing on a quantum-limit behavior, we study a single vortex in a clean s-wave type-II superconductor by self-consistently solving the Bogoliubov-de Gennes equation. The discrete energy levels of the vortex bound states in the quantum…

Superconductivity · Physics 2016-08-31 N. Hayashi , T. Isoshima , M. Ichioka , K. Machida

Abrikosov vortices, where the superconducting gap is completely suppressed in the core, are dissipative, semi-classical entities that impact applications from high-current-density wires to superconducting quantum devices. In contrast, we…

The spacial distribution of fields and currents in confining theories can give direct evidence of dual superconductivity. We would like to discuss the techniques for finding these properties and calculating the superconductivity parameters…

High Energy Physics - Lattice · Physics 2016-11-03 Richard W. Haymaker

Quantized magnetic vortices driven by electric current determine key electromagnetic properties of superconductors. While the dynamic behavior of slow vortices has been thoroughly investigated, the physics of ultrafast vortices under strong…

The new type of solutions of the London equation for type-II superconductors is obtained to describe the ring-shaped (toroidal) Abrikosov vortices. The specific feature of these solutions is the self-consistent localization of both the…

Condensed Matter · Physics 2009-11-29 V. A. Kozlov , A. V. Samokhvalov

An isolated single vortex is considered within the framework of the quasiclassical theory. The local density of states around a vortex is calculated in a clean type II superconductor with an anisotropy. The anisotropy of a superconducting…

Superconductivity · Physics 2009-10-30 N. Hayashi , M. Ichioka , K. Machida

We discuss the physics of the vortex state in a $d$-wave superconductor, using the phenomenological Ginzburg-Landau theory, where many novel phenomena arise from the small admixture of the $s$-wave component induced by spatial variations in…

Condensed Matter · Physics 2009-10-28 M. Franz , C. Kallin , P. I. Soininen , A. J. Berlinsky , A. L. Fetter

A perpendicular magnetic field penetrating a thin type-II superconductor slab produces vortices, with one vortex per flux quantum, h/2e. The vortices interact repulsively and form an ordered array (Abrikosov lattice) in clean systems, while…

Superconductivity · Physics 2024-11-13 Yu Wu , Liangliang Guo , Renfei Wang , Jiawei Guo , Shuang Jia , Mingliang Tian , Xiaobo Lu , Hangwen Guo , Jian Shen , Yang Liu

It has been predicted that superconducting vortices should be electrically charged and that this effect is particularly enhanced for, high temperature superconductors.\cite{kho95,bla96} Hall effect\cite{hag91} and nuclear magnetic resonance…

Superconductivity · Physics 2015-05-20 A. M. Mounce , S. Oh , S. Mukhopadhyay , W. P. Halperin , A. P. Reyes , P. L. Kuhns , K. Fujita , M. Ishikado , S. Uchida

The structure of a single vortex in a FeAs superconductor is studied in the framework of two formulations of superconductivity for the recently proposed sign-reversed $s$ wave ($s^\pm$) scenario: {\it (i)} a continuum model taking into…

Superconductivity · Physics 2015-05-14 M. A. N. Araujo , M. Cardoso , P. D. Sacramento

Since the experimental formation of a vortex with a fractional quantized magnetic flux in a thin superconducting $s$-wave bi-layer was recently reported, we calculate the local density of states (LDOS) around two half quantum vortices in a…

Superconductivity · Physics 2019-05-01 Yuki Nagai , Yusuke Kato

The origin of the vortex-core states in s-wave and d_{x^2-y^2}-wave superconductors is investigated by means of some selected numerical experiments. By relaxing the self-consistency condition in the Bogoliubov-de Gennes equations and tuning…

Superconductivity · Physics 2007-05-23 C. Berthod

Coexistence of antiferromagnetic order with superconductivity in many families of newly discovered iron-based superconductors has renewed interest to this old problem. Due to competition between the two types of order, one can expect…

Superconductivity · Physics 2015-08-14 Vivek Mishra , Alexei E. Koshelev

We study the impact of the non-analytic reconstruction of vortex cores on static vortex structures in weakly coupled superfluids. We show that in rotating two-dimensional systems, the Abrikosov vortex lattice is unstable to vortex core…

Other Condensed Matter · Physics 2017-03-01 Avraham Klein , Oded Agam , Igor L. Aleiner

For a type-II superconductor, when the applied magnetic field is higher than the lower critical value Hc1, the magnetic flux will penetrate into the superconductor and form quantized vortices, which usually are arranged in an Abrikosov…

Superconductivity · Physics 2011-02-16 Lei Shan , Yong-Lei Wang , Bing Shen , Bin Zeng , Yan Huang , Ang Li , Da Wang , Huan Yang , Cong Ren , Qiang-Hua Wang , Shuheng Pan , Hai-Hu Wen

The profiles of local density of states (LDOS) around different vortex configurations in mesoscopic superconductors are studied taking account of the interference of quasiparticle waves experiencing Andreev reflection within the vortex…

Superconductivity · Physics 2015-05-13 A. S. Mel'nikov , D. A. Ryzhov , M. A. Silaev

Breaking of time-reversal and point-group spatial symmetries can have a profound impact on superconductivity. One of the most extraordinary effects, due to the application of a magnetic field, is represented by the Abrikosov vortices with…

Superconductivity · Physics 2022-04-21 Maria Teresa Mercaldo , Carmine Ortix , Francesco Giazotto , Mario Cuoco

A magnetic field applied to type-II superconductors introduces quantized vortices that locally quench superconductivity, providing a unique opportunity to investigate electronic orders that may compete with superconductivity. This is…

Superconductivity · Physics 2016-06-01 T. Machida , Y. Kohsaka , K. Matsuoka , K. Iwaya , T. Hanaguri , T. Tamegai
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