论文标题
在核振荡器网络中，非常规超导性作为同步问题
Unconventional superconductivity as a synchronization problem in nuclear oscillator networks
论文作者
论文摘要
我们在随机的，量子耗散，弹性 - 核核振荡器网络中，具有相位波动，伪PENTOMENON和本地Cooper Pairs的非常规$ d $波浪超导性的问题。网络的节点对应于{\ IT局部的，类似弹性的弹性不均匀性的{\ i局部，集体四极振动}，嵌入在耗散培养基中。与此类振动相互作用的电子构成了本地库珀对，由于有效，短距离的有吸引力的$ d_ {x^2-y^2} $字符，因此具有超氟$ d $ wave pseudogap $δ_{pg} $。当振荡器网络渐近地纠缠在几乎无腐烂的环境中时，相干，散装超导率具有$ d $ wave gap $δ$。当热噪声与振荡器之间的耦合相提并论时，相干相干性将又被破坏，以$ t_c $ $ t_c $。 $2Δ/k_b t_c $比率是库拉莫托的订单参数的函数，$ r = \ sqrt {1-k_c/k} $，用于$ k_c $的同步损失，并且比nonumperal $2Δ__{pg}/k_b t^*$ at $ the $ there $ there $完全被热波动破坏。我们讨论了有关各种非常规高温超导体的可用数据的发现。
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 $Δ_{PG}$, due to an effective, short range attractive interaction of $d_{x^2-y^2}$ character. Phase coherent, bulk superconductivity, with a $d-$wave gap $Δ$, 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, $r=\sqrt{1-K_c/K}$, 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.
