تقرير
Unconventional superconductivity as a synchronization problem in nuclear oscillator networks
| العنوان: | Unconventional superconductivity as a synchronization problem in nuclear oscillator networks |
|---|---|
| المؤلفون: | Velasco, V., Neto, M. B. Silva |
| سنة النشر: | 2020 |
| المجموعة: | Condensed Matter Nonlinear Sciences Nuclear Theory |
| مصطلحات موضوعية: | Condensed Matter - Superconductivity, Nonlinear Sciences - Adaptation and Self-Organizing Systems, Nuclear Theory |
| الوصف: | We formulate the problem of unconventional $d-$wave superconductivity, with phase fluctuations, pseudogap phenomenon, and local Cooper pairs, in terms of a synchronization problem in random, quantum dissipative, elasto-nuclear oscillator networks. The nodes of the network correspond to {\it localized, collective quadrupolar vibrations} of nuclei-like, elastic inhomogeneities embedded in a dissipative medium. Electrons interacting with such vibrations form local Cooper pairs, with a superfluid $d-$wave pseudogap $\Delta_{PG}$, due to an effective, short range attractive interaction of $d_{x^2-y^2}$ character. Phase coherent, bulk superconductivity, with a $d-$wave gap $\Delta$, is stabilized when the oscillator network is asymptotically entangled in a nearly decoherence-free environment. Phase coherence will in turn be destroyed, at $T_c$, when the thermal noise becomes comparable to the coupling between oscillators, the superfluid density $K$. The $2\Delta/k_B T_c$ ratio is a function of Kuramoto's order parameter, $r=\sqrt{1-K_c/K}$, for the loss of synchronization at $K_c$, and is much larger than the nonuniversal $2\Delta_{PG}/k_B T^*$ ratio, where $T^*$ is the temperature at which $\Delta_{PG}$ is completely destroyed by thermal fluctuations. We discuss our findings in connection to the available data for various unconventionally high-temperature superconductors. Comment: 8 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2005.04713 |
| رقم الأكسشن: | edsarx.2005.04713 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |