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A gel consists of a network of particles or molecules formed for example using the sol-gel process, by which a solution transforms into a porous solid. Particles or molecules in a gel are mainly organized on a scaffold that makes up a…

The problem of the giant vortex state around a magnetic dot which is embedded in a superconducting film is investigated. The full non-linear, self-consistent Ginzburg-Landau equations are solved numerically in order to calculate the free…

Condensed Matter · Physics 2009-10-28 I. K. Marmorkos , A. Matulis , F. M. Peeters

Superconductors are of type I or II depending on whether they form an Abrikosov vortex lattice. Although bulk lead (Pb) is classified as a prototypical type-I superconductor, we observe single-flux-quantum and multiple-flux-quanta vortices…

We study a model for the pinning of vortices in a two-dimensional, inhomogeneous, Type-II superconductor in its mixed state. The model is based on a Ginzburg-Landau (GL) free energy functional whose coefficients are determined by the…

Superconductivity · Physics 2009-11-13 Daniel Valdez-Balderas , David Stroud

Inspired by the recent experiments in monolayer iron-based superconductors, we theoretically investigate properties of a two-dimensional multiband superconductor, focusing on two aspects. First, for vortex bound states, the spatial…

Superconductivity · Physics 2024-08-06 Haijiao Ji , Noah F. Q. Yuan

In general a superconducting state breaks multiple symmetries and, therefore, is characterized by several different coherence lengths $\xi_i$, $i=1,...,N$. Moreover in multiband material even superconducting states that break only a single…

Superconductivity · Physics 2017-02-28 Egor Babaev , Johan Carlstrom , Mihail Silaev , Martin Speight

Quantum vortices are fundamentally important for properties of superconductors. In conventional type-II superconductor they determine the magnetic response of the system and tend to form regular lattices. UTe$_2$ is a recently discovered…

Quantized vortices in type-II superconductors provide insights into the mechanisms of superconductivity. However, the generation of antivortices, characterized by magnetization antiparallel to the external magnetic field, remains less…

We study the effect of the superconducting gap nodes on the vortex lattice properties of high temperature superconductors at very low temperatures. The nonlinear, nonlocal and nonanalytic nature of this effect is shown to have measurable…

Superconductivity · Physics 2009-10-30 M. H. S. Amin , Ian Affleck , M. Franz

Superconductors are considered in view of applications to atom chip devices. The main features of magnetic traps based on superconducting wires in the Meissner and mixed states are discussed. The former state may mainly be interesting for…

Quantum Physics · Physics 2014-03-03 Valery Dikovsky , Vladimir Sokolovsky , Bo Zhang , Carsten Henkel , Ron Folman

The intermediate state of type-I superconductors presents a classic paradigm of modulated pattern formation, arising from the competition between short-range attractive and long-range repulsive vortex-vortex interactions. However, direct…

Superconductivity · Physics 2026-04-24 Xin-Sheng Gao , Qun Wang , Ya-Xun He , Xing-Jian Liu , Jun-Han Zhang , Kang-Hong Yin , Jia-Ying Zhang , Jun-Yi Ge

Resistance in superconductors arises from the motion of vortices driven by flowing supercurrents or external electromagnetic fields and may be strongly affected by thermal or quantum fluctuations. The common expectation borne out in…

Sufficiently thin films of type-I superconductor in a perpendicular magnetic field exhibit a triangular vortex lattice, while thick films develop an intermediate state. To elucidate what happens between these two regimes, precise numerical…

Superconductivity · Physics 2011-01-06 Mark C. Sweeney , Martin P. Gelfand

We demonstrate that the intrinsic superconducting diode effect can affect the structure, interactions and dynamics of Abrikosov vortices in non-centrosymmetric superconductor/ferromagnet hybrid structures. The Ginzburg-Landau (GL) theory…

Superconductivity · Physics 2025-10-10 A. V. Putilov , D. V. Zakharov , A. Kudlis , A. S. Mel'nikov , A. I. Buzdin

The thermal fluctations of vortices in a superconductor can be usefully mapped onto the quantum fluctations of a collection of bosons at T=0 moving in 2 dimensions. When the superconductor is a thin platelet with the magnetic field parallel…

Superconductivity · Physics 2010-05-05 Cedric Yen-Yu Lin , Ian Affleck

We report the observation of superconducting vortices in pure and lightly Al doped MgB$_2$ single crystals. Low field experiments allow for the estimation of the London penetration depth, lambda ~ 1900 $\AA$ for T$\sim$6 K. Experiments in…

Superconductivity · Physics 2007-05-23 L. Ya. Vinnikov , J. Karpinski , S. M. Kazakov , J. Jun , J. Anderegg , S. L. Bud'ko , P. C. Canfield

We use Time-Dependent Ginzburg-Landau theory to study the nucleation of vortices in type II superconductors in the presence of both geometric and material inhomogeneities. The superconducting Meissner state is meta-stable up to a critical…

Computational Physics · Physics 2020-04-29 Alden R. Pack , Jared Carlson , Spencer Wadsworth , Mark K. Transtrum

The ground state with vorticity larger than one in mesoscopic superconductors in applied magnetic field may manifest as a `giant'-vortex, where all vortices coalesce into a single singularity of the order parameter. Such a multi-quanta…

Superconductivity · Physics 2011-07-04 Ben Xu , M. V. Milošević , Shi-Hsin Lin , F. M. Peeters , B. Jankó

We have investigated the confinement of 3-D vortices in specific cases of Type-II ($\kappa = 2$) nano-superconducting devices. The emergent pattern of vortices greatly depends on the orientation of an applied magnetic field (transverse or…

Superconductivity · Physics 2017-07-07 Wai Man Wu , Binoy Sobnack , Derek Michael Forrester , Feodor Kusmartsev

We show that under an a.c. magnetic field excitation the vortex lattice in a superconductor with periodic array of holes can undergo a transition from a Mott-like state where each vortex is localized in a hole, to a metal-like state where…