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 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 Δ _PG , due to an effective, short range attractive interaction of character. Phase coherent, bulk superconductivity, with a d − wave gap Δ, 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 2Δ/k _B T _c ratio is a function of Kuramoto’s order parameter, , for the loss of synchronization at K _c , and is much larger than the nonuniversal 2Δ _PG /k _B T ^* ratio, where T ^* is the temperature at which Δ _PG is completely destroyed by thermal fluctuations. We discuss our findings in connection to the available data for various unconventionally high-temperature superconductors.

我们用随机的，量子耗散的，弹性体-弹性体振荡器网络中的同步问题，提出了具有相位波动，伪间隙现象和局部库珀对的非常规d-波超导问题。网络的节点对应于嵌入耗散介质中的核状弹性不均匀性的局部集体四极振动。电子与这种振动相互作用形成局部库珀对，具有超流d -波赝Δ _PG，由于有效的，短程吸引相互作用字符。相干，体超导，d -当在几乎无退相干的环境中渐近缠结振荡器网络时，波隙Δ稳定。当热噪声变得与振荡器之间的耦合相当时，超流体密度K会在T _c处破坏相干性。在2Δ/ ķ_乙Ť _Ç比为仓本的命令参数的函数，用于同步在损失ķ _Ç，并且远大于非普适2Δ _PG / ķ_乙Ť ^*比率，其中Ť ^*是在该温度下Δ _PG 被热波动完全破坏了。我们将结合各种非常规高温超导体的可用数据来讨论我们的发现。