Kibble-Zurek scaling in holography
arXiv:1703.00933 · doi:10.1103/PhysRevD.95.106009
Abstract
The Kibble-Zurek (KZ) mechanism describes the generations of topological defects when a system undergoes a second-order phase transition via quenches. We study the holographic KZ scaling using holographic superconductors. The scaling can be understood analytically from a scaling analysis of the bulk action. The argument is reminiscent of the scaling analysis of the mean-field theory but is more subtle and is not entirely obvious. This is because the scaling is not the one of the original bulk theory but is an emergent one that appears only at the critical point. The analysis is also useful to determine the dynamic critical exponent .
10 pages, ReVTeX4.1; v2: a few clarifications
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- From black hole to one-dimensional chain: parity symmetry breaking and kink formation
- Holographic Superconductors: An Analytic Method Revisit
- Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk