Unconventional superconductivity as a quantum Kuramoto synchronization problem in random elasto-nuclear oscillator networks. (11th January 2021)

• Record Type: Journal Article
• Authors: Velasco, V; Neto, M B Silva
• Is Part Of: Journal of physics communications. Volume 5:Number 1(2021)
• Publication Date: 2021-01-11
• Subjects: superconductivity -- cuprates -- synchronization -- Kuramoto model -- nuclear matter; Physics -- Periodicals; 530.05
• DOI: 10.1088/2399-6528/abd643
• Languages: English
• ISSNs: 2399-6528

Abstract

Abstract: 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 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 = 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.