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arXiv 0906.1334cond-mat.supr-concond-mat.stat-mech
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电场快速循环下的超导形核

Nucleation of superconductivity under rapid cycling of electric field

Malay Bandyopadhyay

摘要:

本文详细研究了外加高频振荡电场对超导体块体和表面超导临界成核场的影响。从线性化含时Ginzburg-Landau(TDLG)理论出发,利用变分原理,我们证明了量子谐振子与超导体成核的量子谐振子和量子双振子与有限样品表面成核的量子双振子之间的相似性。Cook { \it et al} \cite{cook}的有效哈密顿方法被用来包含外部施加的高振荡电场的影响。用基态能量法计算了临界形核场比。从这两个近似理论得到的结果符合得很好的精确结果的情况下,无驱动系统,建立了这两个近似理论的有效性。观察到,与没有电场的情况($\varepsilon_0=0$)相比,高振荡电场实际上增加了超导体的体临界成核场($H_{c_2}$)以及表面临界成核场($H_{c_3}$)。但外加快速振荡电场对表面临界成核场的强化作用大于体相临界成核场,即$H_{c_3}$的增加是$H_{c_2}$的1.6592倍。

英文摘要:

The effect of an externally applied high frequency oscillating electric field on the critical nucleation field of superconductivity in the bulk as well as at the surface of a superconductor is investigated in details in this work. Starting from the linearized time dependent Ginzburg-Landau (TDLG) theory and using the variational principle we have shown the analogy between a quantum harmonic oscillator with that of the nucleation of superconductivity in bulk and a quantum double oscillator with that of the nucleation at the surface of a finite sample. The effective Hamiltonian approach of Cook {\it et al} \cite{cook} is employed to incorporate the effect of an externally applied highly oscillating electric field. The critical nucleation field ratio is also calculated from the ground state energy method. The results obtained from these two approximated theories agree very well with the exact results for the case of undriven system which establishes the validity of these two approximated theories. It is observed that the highly oscillating electric field actually increases the bulk critical nucleation field ($H_{c_2}$) as well as the surface critical nucleation field ($H_{c_3}$) of superconductivity as compared to the case of absence of electric field ($\varepsilon_0=0$). But the externally applied rapidly oscillating electric field accentuates the surface critical nucleation field more than the bulk critical nucleation field i.e. the increase of $H_{c_3}$ is 1.6592 times larger than that of $H_{c_2}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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