Phase diagram of vortex matter of type-II superconductors

Xu, Xuebin; Fangohr, Hans; Ding, Shou-Nian; Zhou, Fang; Xu, Xibin; Wang, Z H; Gu, Min; Shi, Dongqi; Dou, Shi Xue

doi:10.1103/physrevb.83.014501

Cited by 26 publications

(21 citation statements)

References 32 publications

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“…It has been known that the formation of these modulated structures originates from the competition between short-range attraction and long-range repulsion, observed in wide physical systems [42]. The numerical vortex structures including vortex bubble and stripe are in good agreement with the experimental observations in low-κ type II superconductors [4,43]. Also, for anisotropic superconductors, the theoretical calculation and analysis based on London theory and LowrenceDoniach theory has been shown that multiquanta vortex lattices will occur through changing titling angles of magnetic fields (equivalent to changing the value of q in this simulation) [25].…”

Section: Vortex States and Vortex Chain Formation At Zero Temperaturesupporting

confidence: 77%

Simulation of the phase diagram of magnetic vortices in two-dimensional superconductors: evidence for vortex chain formation

Xu¹,

Fangohr²,

Gu³

et al. 2014

J. Phys.: Condens. Matter

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We study the superconducting vortex states induced by the interplay of long-range Pearl repulsion and short-range intervortex attraction using Langevin dynamics simulation. We show that at low temperature the vortices form an ordered Abrikosov lattice both in low and high fields. The vortices show distinctive modulated structures at intermediate fields depending on the effective intervortex attraction: ordered vortex chain and Kogame-like vortex structures for weak attraction; bubble, stripe and antibubble lattices for strong attraction. Moreover, in the regime of the chain state, the vortices display structural transitions from chain to labyrinthine (or disordered chain) and/or to disordered state depending on the strength of disorders.

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Section: Vortex States and Vortex Chain Formation At Zero Temperaturesupporting

confidence: 77%

Simulation of the phase diagram of magnetic vortices in two-dimensional superconductors: evidence for vortex chain formation

Xu¹,

Fangohr²,

Gu³

et al. 2014

J. Phys.: Condens. Matter

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“…The interaction potential can be further controlled by introducing other contributions to the interaction. As a result, rich configurations, such as clusters, repulsive or attractive glassy states and gels, were found numerically [16][17][18][19][20][21], analytically [22,23] and experimentally [5,7] in colloidal systems with short-range attractive interaction. The properties of isolated clusters formed by the short-range attractive and long-range repulsive interaction were studied recently [24].…”

Section: Introductionmentioning

confidence: 99%

Analysis of pattern formation in systems with competing range interactions

Zhao

Peeters

2012

New J. Phys.

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“…Nevertheless, so far, the phase transitions and related vortex patterns for type-II/1 superconductors are not well understood, mainly because of the lack of low-κ superconductors, the interplay of quenched disorder, and the proper technique to visualize the vortices. Ever since the early reports of the IMS observed by the Bitter decoration technique about 40 years ago [12,13], most work has been focused on theoretical simulations, and various vortex patterns have been predicted [10,[14][15][16][17][18][19]. By using the small-angle neutron scattering technique, the morphology of the vortex pattern in low-κ Nb superconductors has been reported [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Direct visualization of vortex pattern transition inZrB12with Ginzburg-Landau parameter close to the dual point

Gutiérrez

Lyashchenko

et al. 2014

Phys. Rev. B

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In nature, many systems exhibit modulated phases with periodic macroscopic patterns and textures mainly due to the competitive interactions of different phases. Vortex systems in superconductors, which are easy to access, offer the possibility of tuning the ratio between the competitive interactions, providing a unique tool to study the evolution and equilibrium of similar patterns. The κ-T phase diagram of clean superconductors shows the transition from type-I to type-II superconductivity via a narrow κ range near the dual point κ = 1/ √ 2 where the vortices attract each other at long distances and repel each other at short distances. This κ range, which is termed the type-II/1 phase, becomes larger with decreasing temperature. The direct imaging at the scale of individual vortices of the vortex pattern transition would provide valuable information. Therefore, by using scanning Hall probe microscopy, we have performed direct visualization of the vortex pattern transition in a ZrB 12 single crystal across the type-II and type-II/1 phases. By gradually lowering the temperature, and thereby tuning vortex interactions, a transition is observed from the ordered Abrikosov vortex lattice to a disordered vortex pattern with large areas of Meissner phase, vortex chains, and vortex clusters. The formation of vortex chains and clusters has been found to arise from the combined effect of quenched disorder and the attractive vortex-vortex interaction in the type-II/1 phase. The clusters and chains serve as the vortex reservoir to enable the formation of a triangular vortex lattice of the type-II phase at high temperatures.

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Phase diagram of vortex matter of type-II superconductors

Cited by 26 publications

References 32 publications

Simulation of the phase diagram of magnetic vortices in two-dimensional superconductors: evidence for vortex chain formation

Simulation of the phase diagram of magnetic vortices in two-dimensional superconductors: evidence for vortex chain formation

Analysis of pattern formation in systems with competing range interactions

Direct visualization of vortex pattern transition inZrB12with Ginzburg-Landau parameter close to the dual point

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