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We study the vortex state in a magnetic field parallel to the $c$ axis in the framework of the extended Ginzburg Landau equation. We find the vortex acquires a fourfold modulation proportional to $\cos(4\phi)$ where $\phi$ is the angle…

Superconductivity · Physics 2009-10-31 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

In type-II superconductors, the dynamics of superconducting vortices determine their transport properties. In the Ginzburg-Landau theory, vortices correspond to topological defects in the complex order parameter. Extracting their precise…

Superconductivity · Physics 2015-06-23 C. L. Phillips , T. Peterka , D. Karpeyev , A. Glatz

We employ the Einstein-Abelian-Higgs theory to investigate the structure of vortex-antivortex lattices within a superconductor driven by spatial periodic magnetic fields. By adjusting the parameters of the external magnetic field, including…

High Energy Physics - Theory · Physics 2023-11-13 Jia-Hao Su , Chuan-Yin Xia , Wei-Can Yang , Hua-Bi Zeng

This paper explores long-range interactions between magnetically-charged excitations of the vacuum of the dual Landau-Ginzburg theory (DLGT) and the dual Abrikosov vortices present in the same vacuum. We show that, in the London limit of…

High Energy Physics - Theory · Physics 2012-06-12 Dmitri Antonov

The standard Ginzburg-Landau model of competing-order superconductors is studied. It is observed that this model possesses two distinct species of vortex, and consequently has two distinct integer valued topological charges. A simple point…

Superconductivity · Physics 2021-01-27 Martin Speight , Thomas Winyard

We investigate the superconducting states that arise as a consequence of mesoscopic confinement and a multi-component order parameter in the Ginzburg-Landau model for $p\,$-wave superconductivity. Conventional vortices, but also…

Superconductivity · Physics 2016-02-03 V. Fernández Becerra , E. Sardella , F. M. Peeters , M. V. Milošević

It is expected that in the interior of compact stars a proton superconductor coexists with and couples to a neutron superfluid. Starting from a field-theoretical model for two complex scalar fields - one of which is electrically charged -…

High Energy Astrophysical Phenomena · Physics 2017-04-10 Alexander Haber , Andreas Schmitt

We carry out a systematic analytic investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible non-relativistic superconductor in a rigidly rotating background. It is shown…

Superconductivity · Physics 2009-10-31 Brandon Carter , Reinhard Prix , David Langlois

Among the most significant macroscopic quantum phenomena in condensed matter physics is the Meissner effect observed in superconductivity, which arises from the unique interaction between superfluids of charged particles and electromagnetic…

Superconductivity · Physics 2025-05-02 Kazuki Yamamoto , Takuto Kawakami , Mikito Koshino

A theory of critical fluctuations in extreme type-II superconductors subjected to a finite but weak external magnetic field is presented. It is shown that the standard Ginzburg-Landau representation of this problem can be recast, with help…

Condensed Matter · Physics 2009-10-31 Zlatko Tesanovic

We study the ground state and low energy excitations of vortices pinned to columnar defects in superconductors, taking into account the long--range interaction between the fluxons. We consider the ``underfilled'' situation in the Bose glass…

Condensed Matter · Physics 2009-10-28 Uwe C. T"auber , David R. Nelson

We calculate the local density of states of a vortex in a two-dimensional s-wave superconductor, in the presence of a uniform applied supercurrent. The supercurrent induces changes in the electronic structure for the isolated vortex as well…

Superconductivity · Physics 2013-10-24 C. Berthod

The Ginzburg Landau theory for d_{x^2-y^2}-wave superconductors is constructed, by starting from the Gor'kov equation with including correction terms up to the next order of ln(T_c/T). Some of the non-local correction terms are found to…

supr-con · Physics 2009-10-30 Naoki Enomoto , Masanori Ichioka , Kazushige Machida

Traditional superconductors fall into two categories, type-I, expelling magnetic fields, and type-II, into which magnetic fields exceeding a lower critical field $H_{\rm c1}$ penetrate in form of Abrikosov vortices. Abrikosov vortices are…

Superconductivity · Physics 2024-09-16 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur

A new approach based on macro-orbital representation of a conduction electron in a solid has been used to discover some untouched aspects of the phonon induced attraction between two electrons and to lay the basic foundations of a general…

Superconductivity · Physics 2007-05-23 Yatendra S. Jain

The self-energy of a moving vortex is shown do decrease with increasing velocity. The interaction energy of two parallel slowly moving vortices differs from the static case by a small term $\propto v^2$; the "slow" motion is defined as…

Superconductivity · Physics 2020-07-15 V. G. Kogan , R. Prozorov

We carry out a detailed stability analysis of the superconducting vortex solutions in the Weinberg-Salam theory described in Nucl.Phys. B826 (2010) 174. These vortices are characterized by constant electric current $I$ and electric charge…

High Energy Physics - Theory · Physics 2015-03-17 Julien Garaud , Mikhail S. Volkov

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 interactions of anyonic quasi-particles (vortices) in the Chern--Simons extension of the Ginzburg--Landau model is investigated and we show that it manifestly realizes a hybridization of type I/II superconductivity. Through Gauss' law,…

Superconductivity · Physics 2025-10-14 Paul Leask

Quantum-degenerate Fermi gases provide a remarkable opportunity to study strongly interacting fermions. In contrast to other Fermi systems, such as superconductors, neutron stars or the quark-gluon plasma, these gases have low densities and…

Superconductivity · Physics 2007-05-23 M. W. Zwierlein , J. R. Abo-Shaeer , A. Schirotzek , C. H. Schunck , W. Ketterle
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