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Winding up a finite size holographic superconducting ring beyond Kibble-Zurek mechanism
Physical Review D ( IF 4.6 ) Pub Date : 2020-12-01 , DOI: 10.1103/physrevd.102.126005 Chuan-Yin Xia , Hua-Bi Zeng
Physical Review D ( IF 4.6 ) Pub Date : 2020-12-01 , DOI: 10.1103/physrevd.102.126005 Chuan-Yin Xia , Hua-Bi Zeng
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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
中文翻译：
在 Kibble-Zurek 机制之外缠绕有限尺寸的全息超导环
我们研究了有限尺寸全息超导环中淬火法向到超导体状态相变的有序参数和绕组数的动力学形成。在它下面有一个临界圆周 $\tilde{C}$ 不会形成缠绕数，那么 $\tilde{C}$ 可以被视为 Kibble-Zurek 机制（KZM）相关长度 $\xi$ 是成比例的到其淬火率 $\tau_Q$ 的四次方根，这也是淬火后形成的独立碎片的平均尺寸。当周长 $C \geq 10 \xi$ 时，观察到 KZM 在绝对绕组数的平均值与失超率 $\langle|W|\rangle \propto \tau_Q^{-1/8}$ . 在较小的尺寸下，通用缩放将被修改，有两个区域。中号 $5\xi
更新日期：2020-12-01
中文翻译：
在 Kibble-Zurek 机制之外缠绕有限尺寸的全息超导环
我们研究了有限尺寸全息超导环中淬火法向到超导体状态相变的有序参数和绕组数的动力学形成。在它下面有一个临界圆周 $\tilde{C}$ 不会形成缠绕数，那么 $\tilde{C}$ 可以被视为 Kibble-Zurek 机制（KZM）相关长度 $\xi$ 是成比例的到其淬火率 $\tau_Q$ 的四次方根，这也是淬火后形成的独立碎片的平均尺寸。当周长 $C \geq 10 \xi$ 时，观察到 KZM 在绝对绕组数的平均值与失超率 $\langle|W|\rangle \propto \tau_Q^{-1/8}$ . 在较小的尺寸下，通用缩放将被修改，有两个区域。中号 $5\xi
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