Gap fluctuations, Cooper pairs with finite center-of-mass momentum, and suppression of superconductivity in inhomogeneous systems with dopant superpuddles agglomerates

Abstract

Spatially extended aggregates of dopants are ubiquitous in a plethora of granular superconductors, forming a droplet network that is very important to their characterization and to the description of their superconducting properties. At the same time, one of the most studied classes of superconducting materials are the high-temperature superconductors, where special attention is given to the hole-doped cuprates, where the carrier concentration is controlled by the amount of interstitial oxygen dopants. In this context, the formation of spatially inhomogeneous aggregates of interstitial oxygen atoms, in the form of nanosized superpuddles, is not only relevant, but also a subject of intense recent experimental and theoretical surveys. Following these efforts, in this work we investigate the consequences of the presence of networks of inhomogeneously distributed dopant superpuddles on the superconducting state. Starting from the inhomogeneous extended disordered background brought by the network of superpuddles, we demonstrate, with the aid of an effective interaction between electrons mediated by the local vibrational degrees of freedom of each puddle, that the Cooper pairs arising from an attractive interaction in an inhomogeneous medium have a finite center-of-mass momentum, $\mathbf{p}$, that breaks up the Cooper channel. Furthermore, we derive an analytical expression for the amplitude of the superconducting gap, ${\Delta }_{\mathbf{k}}$, in terms of disorder and finite center-of-mass momentum and show that amplitude fluctuations are induced in the superconducting state by the presence of the superpuddles, where both the gap and the critical temperature are reduced by disorder and finite momentum pairs. Finally, we discuss our findings in the context of synchronized networks of superconducting oxygen nano-puddles in cuprates and in other granular superconducting systems.

arXiv comment11 pages, 6 figures

References in corpus (43)

• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• The Physics of Pair Density Waves
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Inhomogeneity of charge density wave order and quenched disorder in a high Tc superconductor
• Scale-free structural organization of oxygen interstitials in La2CuO4+y
• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
• Imaging the impact on cuprate superconductivity of varying the inter-atomic distances within individual crystal unit-cells
• Evidence of precursor superconductivity as high as 180 K from infrared spectroscopy
• Discovery of a Cooper-Pair Density Wave State in a Transition-Metal Dichalcogenide
• Enhancement of superconductivity by Anderson localization
• The gap amplification at a "shape resonance" in a superlattice of quantum stripes: a mechanism for high Tc
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Al substitution in MgB2 crystals: influence on superconducting and structural properties
• Observation of two types of charge density wave orders in superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Emergence of nanoscale inhomogeneity in the superconducting state of a homogeneously disordered conventional superconductor, NbN
• Enhancing Superconductivity by Disorder
• Disorder, Metal-Insulator crossover and Phase diagram in high-Tc cuprates
• Supercondutor-Insulator Transition on Annealed Complex Networks
• Emergence of superconductivity in the cuprates via a universal percolation process
• New Gogny interaction suitable for astrophysical applications
• Finite momentum Cooper pairing in 3D topological insulator Josephson junctions
• Superconductivity with Finite-Momentum Pairing in Zero Magnetic Field
• Local electronic structure near oxygen dopants in BSCCO-2212: a window on the high-Tc pair mechanism?
• Multiscale distribution of oxygen puddles in 1/8 doped YBa2Cu3O6.67
• Scanning micro X-ray diffraction unveils the distribution of oxygen chains nano-puddles in YBa2Cu3O6.33
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Puddle formation, persistent gaps, and non-mean-field breakdown of superconductivity in overdoped (Pb,Bi)2Sr2CuO6+δ
• From Mott to not: phenomenology of overdoped cuprates
• Atomic-scale Electronic Structure of the Cuprate Pair Density Wave State Coexisting with Superconductivity
• Percolative superconductivity in La2CuO4.06 by lattice granularity patterns with scanning micro X-ray absorption near edge structure
• Effect of the nitrogen-argon gas mixtures on the superconductivity properties of reactively sputtered molybdenum nitride thin films
• Nanoscale interplay of strain and doping in a high-temperature superconductor
• Networks of superconducting nano-puddles in 1/8 doped YBa2Cu3O6.5+y controlled by thermal manipulation
• Enhancement of Tc in the Superconductor-Insulator Phase Transition on Scale-Free Networks
• Effective model for a supercurrent in a pair-density wave
• Spatially correlated incommensurate lattice modulations in an atomically thin high-temperature Bi_{2.1}Sr_{1.9}CaCu_{2.0}O_{8+δ} superconductors
• Generalization of Anderson's Theorem for Disordered Superconductors
• Self-consistent study of Anderson localization in the Anderson-Hubbard model in two and three dimensions
• Decrease of d-wave pairing strength in spite of the persistence of magnetic excitations in the overdoped Hubbard model
• A novel route to a finite center-of-mass momentum pairing state; current driven FFLO state
• Interplay of finite-energy and finite-momentum superconducting pairing
• Anderson localization effects on doped Hubbard model
• Defect-engineered, universal kinematic correlations between superconductivity and Fermi liquid transport