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We study extreme type-II superconductors described by the three dimensional magnetic Ginzburg-Landau functional incorporating a pinning term $a_\varepsilon(x)$, which we assume to be a bounded measurable function satisfying $b\leq…

Analysis of PDEs · Mathematics 2025-07-16 Matías Díaz-Vera , Carlos Román

The three dimensional XY model with quenched random disorder and finite screening is studied. We argue that the system scales to model with $\lambda\simeq 0\simeq T$ and the resulting effective model is studied numerically by defect energy…

Statistical Mechanics · Physics 2007-05-23 C. Giardina' , N. V. Priezjev , J. M. Kosterlitz

Ginzburg-Landau theory is used to study the properties of single vortices and of the Abrikosov vortex lattice in a $d_{x^2-y^2}$ superconductor. For a single vortex, the $s$-wave order parameter has the expected four-lobe structure in a…

Condensed Matter · Physics 2016-08-31 A. J. Berlinsky , A. L. Fetter , M. Franz , C. Kallin , P. I. Soininen

Superconductivity occurs in systems that have a lot of negative charge: the highly negatively charged $(CuO2)^{--}$ planes in the cuprates, negatively charged $(FeAs)^-$ planes in the iron arsenides, and negatively charged $B^-$ planes in…

Superconductivity · Physics 2009-06-10 J. E. Hirsch

Ginzburg-Landau (GL) equations and GL free energy for flux phase and superconductivity are derived microscopically from the $t-J$ model on a square lattice. Order parameter (OP) for the flux phase has direct coupling to a magnetic field, in…

Superconductivity · Physics 2017-12-29 Kazuhiro Kuboki

The mechanism of the interplay between superconductivity and magnetism is one of the intriguing and challenging problems in physics. Theory has predicted that the ferromagnetic order can coexist with the superconducting order in the form of…

Superconductivity · Physics 2020-10-05 Nanami Teramachi , Yusuke Seto , Takahiro Sakurai , Hithoshi Ohta , Takashi Uchino

Using low-temperature Magnetic Force Microscopy (MFM) we provide direct experimental evidence for spontaneous vortex phase (SVP) formation in EuFe$_2$(As$_{0.79}$P$_{0.21}$)$_2$ single crystal with the superconducting $T^{\rm 0}_{\rm…

The paramagnetic Meissner effect (PME) is observed in small superconducting samples, and a number of controversial explanations of this effect are proposed, but there is as yet no clear understanding of its nature. In the present paper PME…

Superconductivity · Physics 2009-10-31 G. F. Zharkov

Vortex is a topological defect in the superconducting condensate when a magnetic field is applied to a type-II superconductor, as elucidated by the Ginzburg-Landau theory. Due to the confinement of the quasiparticles by a vortex, it…

We carefully consider the interplay between ferromagnetism and the Kondo screening effect in the conventional Kondo lattice systems at finite temperatures. Within an effective mean-field theory for small conduction electron densities, a…

Strongly Correlated Electrons · Physics 2013-04-12 Yu Liu , Guang-Ming Zhang , Lu Yu

Recently it was shown that vacuum in a background of strong enough magnetic field becomes an electromagnetic superconductor due to interplay between strong and electromagnetic forces. The superconducting ground state of the vacuum is…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. N. Chernodub , J. Van Doorsselaere , H. Verschelde

The critical current of a thin superconducting strip of width $W$ much larger than the Ginzburg-Landau coherence length $\xi$ but much smaller than the Pearl length $\Lambda = 2 \lambda^2/d$ is maximized when the strip is straight with…

Superconductivity · Physics 2015-06-03 John R. Clem , Yasunori Mawatari , G. R. Berdiyorov , F. M. Peeters

In type-I superconductors, zero electrical resistivity and perfect diamagnetism define two fundamental criteria for superconducting behavior. In contrast, type-II superconductors exhibit more complex mixed state physics, where magnetic flux…

While planar Fermi superfluids form Abrikosov vortex lattices under magnetic or effective gauge fields, spherical geometry forbids perfect lattices above 20 vortices. We characterize approximate vortex structures of atomic Fermi superfluids…

Quantum Gases · Physics 2026-04-08 Keshab Sony , Yan He , Chih-Chun Chien

Spontaneous vortex phase (SVP) is an exotic quantum matter in which quantized superconducting vortices form in the absence of external magnetic field. Although being predicted theoretically nearly 40 years ago, its rigorous experimental…

Superconductivity · Physics 2017-10-31 Wen-He Jiao , Qian Tao , Zhi Ren , Yi Liu , Guang-Han Cao

In submicron superconducting squares in a homogeneous magnetic field, Ginzburg-Landau theory may admit solutions of the vortex-antivortex type, conforming with the symmetry of the sample [Chibotaru et al., Nature 408, 833 (2000)]. Here we…

Superconductivity · Physics 2008-10-27 R. Geurts , M. V. Milošević , F. M. Peeters

Topological superconductors support Majorana modes, which are quasiparticles that are their own antiparticles and which obey non-Abelian statistics in which successive exchanges of particles do not always commute. Here we investigate…

Superconductivity · Physics 2024-03-29 Jonathan Schirmer , J. K. Jain , C. -X. Liu

We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and the p-wave symmetric energy functional couples these in both the kinetic…

Analysis of PDEs · Mathematics 2014-11-18 Stan Alama , Lia Bronsard , Xavier Lamy

We study the energetics of superconducting vortices in the SO(5) model for high-$T_c$ materials proposed by Zhang. We show that for a wide range of parameters normally corresponding to type II superconductivity, the free energy per unit…

Superconductivity · Physics 2009-11-07 M. Juneau , R. MacKenzie , M. -A. Vachon , J. M. Cline

Self-organized regular patterns are ubiquitous in nature, and one of their most celebrated manifestations is the Abrikosov vortex lattice: under an applied magnetic field, the homogeneous superconductivity becomes unstable and cast itself…

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