“…In particular, much experimental and theoretical effort has been devoted to characterizing the phase diagram of type II superconductors [4]. Depending on the value of the magnetic field H, temperature T , and sample preparation, vortices can either form a crystal [5], which at higher temperatures melts into a liquid [6,7,8,9], or, due to quenched disorder, they can be found in more complex phases, such as the vortex glass [10], the Bose glass [11] or the Bragg glass [12,13].…”
A new class of artificial atoms, such as synthetic nanocrystals or vortices in superconductors, naturally self-assemble into ordered arrays. This property makes them applicable to the design of novel solids, and devices whose properties often depend on the response of such assemblies to the action of external forces. Here we study the transport properties of a vortex array in the Corbino disk geometry by numerical simulations. In response to an injected current in the superconductor, the global resistance associated to vortex motion exhibits sharp jumps at two threshold current values. The first corresponds to a tearing transition from rigid rotation to plastic flow, due to the reiterative nucleation around the disk center of neutral dislocation pairs that unbind and glide across the entire disk. After the second jump, we observe a smoother plastic phase proceeding from the coherent glide of a larger number of dislocations arranged into radial grain boundaries.The production of ordered self-assembled structures of various materials as diverse as synthetic nanocrystals, magnetic colloids, charged particles in Coulomb crystals, proteins and surfactants, or vortices in type II superconductors and in Bose-Einstein condensates, has attracted much interest for various fundamental and practical reasons which are ultimately concerned with their collective properties (optical, magnetic, mechanical, or transport 1
“…In particular, much experimental and theoretical effort has been devoted to characterizing the phase diagram of type II superconductors [4]. Depending on the value of the magnetic field H, temperature T , and sample preparation, vortices can either form a crystal [5], which at higher temperatures melts into a liquid [6,7,8,9], or, due to quenched disorder, they can be found in more complex phases, such as the vortex glass [10], the Bose glass [11] or the Bragg glass [12,13].…”
A new class of artificial atoms, such as synthetic nanocrystals or vortices in superconductors, naturally self-assemble into ordered arrays. This property makes them applicable to the design of novel solids, and devices whose properties often depend on the response of such assemblies to the action of external forces. Here we study the transport properties of a vortex array in the Corbino disk geometry by numerical simulations. In response to an injected current in the superconductor, the global resistance associated to vortex motion exhibits sharp jumps at two threshold current values. The first corresponds to a tearing transition from rigid rotation to plastic flow, due to the reiterative nucleation around the disk center of neutral dislocation pairs that unbind and glide across the entire disk. After the second jump, we observe a smoother plastic phase proceeding from the coherent glide of a larger number of dislocations arranged into radial grain boundaries.The production of ordered self-assembled structures of various materials as diverse as synthetic nanocrystals, magnetic colloids, charged particles in Coulomb crystals, proteins and surfactants, or vortices in type II superconductors and in Bose-Einstein condensates, has attracted much interest for various fundamental and practical reasons which are ultimately concerned with their collective properties (optical, magnetic, mechanical, or transport 1
“…[11], the review [13], and more recent decoration experiments [20]. The observed FLL exhibits structural defects: dislocations, stacking faults, vacancies, interstitials, and even disclinations [19].…”
Section: Observation Of the Fll And Its Defectsmentioning
confidence: 95%
“…4.1) as FLL islands surrounded by Meissner state, or Meissner islands surrounded by FLL [11]. See also the reviews [13,14].…”
Section: Phenomenological Theories Of Superconductivitymentioning
confidence: 96%
“…The line integral in (11) taken along the vth flux line may be written as an integral over a line parameter z', For straight, parallel flux lines oriented along z the general solution of (12) IS (13) where r -rv = (x -xv, y -Yv, 0) and [(0 (x ) is the modified Bessel function ofEq. (4).…”
Section: Observation Of the Fll And Its Defectsmentioning
“…Taking into account that J c ϰU p ϰn p , one can conclude that as soon as the external magnetic field increases, so do the number of Abrikosov vortices and, hence, the density of pinning centers. 28 Thus with increasing field the value of J c is determined by the pinning on the set of defects, which can support large currents to high fields. In the case of fields H c1 ӶHӶH c2 every vortex line is coupled with a vortex lattice, which should increase U p .…”
The magnetic and transport characteristics of a polycrystalline superconductor are investigated theoretically starting from the results on the energy distribution of an Abrikosov vortex in the vortex-laminar model [L. V. Belentsov, Low Temp. Phys. 31, 116 (2005)]. It is shown that these properties depend largely on the normalized grain size, the intergrain coupling strength, the anisotropy, and the degree of surface smoothness (“specularity”) of the material. The first vortex entry field Hp, the first critical field Hc1, and the Gibbs free energy are calculated, and also the field dependence of the magnetization M(H), pinning potential Up(H), and critical current density Jc(H) near H∼Hc1. The vortex-vortex interaction energy is found.
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