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Winding up a finite size holographic superconducting ring beyond Kibble-Zurek mechanism
- Source :
- Physical Review
- Publication Year :
- 2020
-
Abstract
- We studied the dynamics of the order parameter and the winding numbers $W$ formation of a quenched normal-to-superconductor state phase transition in a finite size holographic superconducting ring. There is a critical circumference $\tilde{C}$ below it no winding number will be formed, then $\tilde{C}$ can be treated as the Kibble-Zurek mechanism (KZM) correlation length $\xi$ which is proportional to the fourth root of its quench rate $\tau_Q$, which is also the average size of independent pieces formed after a quench. When the circumference $C \geq 10 \xi$, the key KZM scaling between the average value of absolute winding number and the quench rate $\langle|W|\rangle \propto \tau_Q^{-1/8}$ is observed. At smaller sizes, the universal scaling will be modified, there are two regions. The middle size $5\xi<br />Comment: 8 pages, 6 figures
- Subjects :
- Physics
Kibble-Zurek mechanism
Superconductivity
High Energy Physics - Theory
Phase transition
010308 nuclear & particles physics
High Energy Physics::Lattice
Winding number
FOS: Physical sciences
Order (ring theory)
State (functional analysis)
01 natural sciences
High Energy Physics - Theory (hep-th)
0103 physical sciences
010306 general physics
nth root
Scaling
Mathematical physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Physical Review
- Accession number :
- edsair.doi.dedup.....6b79e6496dfd9930488394d06a7e7d9f