Transition to zero dimensionality in granular aluminum superconducting films

Deutscher, G.; Fenichel, Henry; Gershenson, M. E.; Grünbaum, E.; Ovadyahu, Z.

doi:10.1007/bf00655256

Cited by 172 publications

(107 citation statements)

References 11 publications

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“…The macroscopic conductance E of a network composed of conductances 00 randomly placed on a lattice with probability p has a power law variation (2) where a is a coefficient of order unity. The best Monte-Carlo results are ~=1.3 in 2D and ~=2 in 3D.…”

Section: Transport In Percolative Filmsmentioning

confidence: 99%

Percolation and Superconductivity

Deutscher

1984

Percolation, Localization, and Superconductivity

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Section: Transport In Percolative Filmsmentioning

confidence: 99%

Percolation and Superconductivity

Deutscher

1984

Percolation, Localization, and Superconductivity

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“…It turned out that it is negative up to temperatures of the order of 100 K, and that it varies as (H/T) 2 , as shown Fig. 3.3 [5].…”

Section: Granular Aluminum Is Not a Metal In The Conventional Sensementioning

confidence: 93%

“…By using dark field electron microscopy we had obtained precise measurements of the grain size down to 2 nm (this was nano-science before the word was widely used). We had shown that the smaller the grains, the higher the critical temperature [1,2]. Alex had not worked previously on superconductivity, and the strange properties of this material was not a matter of broad interest in the solid state community.…”

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confidence: 96%

From Granular Superconductivity to High Tc

Deutscher

2017

High-Tc Copper Oxide Superconductors and Related Novel Materials

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Tel Aviv, 1978 I first met Alex Muller during his visit at Tel Aviv University, before he went on to his sabbatical year at the IBM Yorktown Heights labs. He had been invited to Tel Aviv by Amnon Aharony with whom he had interacted very fruitfully on the critical behavior of oxide dielectrics near phase transitions.As one usually does with distinguished visitors, Alex was introduced to several faculty members with whom there was time for in depth discussions. When my turn came I was not too sure whether what I could tell him on my research would be of much interest to him. I was working on superconducting granular Aluminum films, composed of nano-size aluminum grains surrounded by aluminum oxide. By using dark field electron microscopy we had obtained precise measurements of the grain size down to 2 nm (this was nano-science before the word was widely used). We had shown that the smaller the grains, the higher the critical temperature [1, 2]. Alex had not worked previously on superconductivity, and the strange properties of this material was not a matter of broad interest in the solid state community. I feared that my presentation would not retain his attention.The Tc enhancement phenomenon had been originally discovered by Abeles and his group at the RCA labs in Princeton. After several years of research at Tel Aviv, we had come to the conclusion that the various explanations proposed by several authors to explain this substantial enhancement were not valid. These included a large change in the Aluminum lattice parameter reported by J.J. Hauser at Bell labs, of which my colleague Enrique Grünbaum found no trace in electron diffraction experiments, and a phonon softening that could have enhanced the effective

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“…This effect of inhomogeneities on the screening bears some resemblance with the reduction of screening caused by insulating granules in granular [2,6,8,9] or segments [33] can be viewed as precursor to CO. On the other hand, the instability towards CO at large doping is due to a Quantum Critical Point (QCP) which due to quantum fluctuation establishes long-range order only at a slightly lower doping [13,16] superconductors. It was shown in this latter case that the reduction of screening implied an enhancement of the critical temperature in these systems [50].…”

Section: Charge Inhomogeneities and Electron-phonon Couplingmentioning

confidence: 97%

Electronic Phase Separation and Electron–Phonon Coupling in Cuprate Superconductors

Bill

Hizhnyakov

Seibold

2017

High-Tc Copper Oxide Superconductors and Related Novel Materials

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PrologueImmediately after the discovery of high-temperature superconductivity by Bednorz and Müller [1] late Ernst Sigmund and his group at the University of Stuttgart started to work on the problem how doping of charge carriers alters the electronic properties of the perovskite material. These efforts were supported by Vladimir Hizhnyakov from the University of Tartu, who together with Ernst Sigmund proposed an inhomogeneous doping mechanism for the cuprates in 1988 [2][3][4][5]. According to their picture the individual charge carriers form localized magnetic polarons in a fluctuating antiferromagnetic environment which then cluster together to form metallic regions (cf. Fig. 1.1). Above some critical doping a percolative network is realized, which then becomes superconducting. During these early days, such a scenario was viewed with scepticism by the high-T c community, in particular because only few experiments supported some kind of electronic phase separation in the cuprates. By a lucky coincidence, Reinhard Kremer from the nearby Max-Planck institute in Stuttgart started thermal quenching experiments on lanthanum cuprates which strongly supported the formation of an electronically inhomogeneous state in these materials. Alex Müller, who had an established, close contact

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Transition to zero dimensionality in granular aluminum superconducting films

Cited by 172 publications

References 11 publications

Percolation and Superconductivity

Percolation and Superconductivity

From Granular Superconductivity to High Tc

Electronic Phase Separation and Electron–Phonon Coupling in Cuprate Superconductors

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