Holographic topological defects and local gauge symmetry: clusters of strongly coupled equal-sign vortices
arXiv:2103.01485 · doi:10.1007/JHEP10(2021)124
Abstract
Gauge invariance plays an important role in forming topological defects. In this work, from the AdS/CFT correspondence, we realize the clusters of equal-sign vortices during the course of critical dynamics of a strongly coupled superconductor. This is the first time to achieve the equal-sign vortex clusters in strongly coupled systems, considering that vortices with equal sign repel. The appearance of clusters of equal-sign vortices is a typical character of flux trapping mechanism, distinct from Kibble-Zurek mechanism which merely presents vortex-antivortex pair distributions resulting from global symmetry breaking. Numerical results of spatial correlations and net fluxes of the equal-sign vortex clusters quantitatively support the positive correlations between vortices. The linear dependence between the vortex number and the amplitude of magnetic field at the `trapping' time demonstrates the flux trapping mechanism very well.
8 pages, 5+2 figures; Context improved, typos corrected
References in corpus (7)
- Building an AdS/CFT superconductor
- Defect formation beyond Kibble-Zurek mechanism and holography
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism
- Estimation of vortex density after superconducting film quench
- Topological Defects Formation with Momentum Dissipation
- Cosmic string formation by flux trapping
Cited by in corpus (5)
- Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition
- Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
- Holographic topological defects in a ring: role of diverse boundary conditions
- Periodicities in a multiply connected geometry from quenched dynamics
- From black hole to one-dimensional chain: parity symmetry breaking and kink formation