Superconductivity of Isotopes of Mercury

Reynolds, C. A.; Serin, B.; Wright, W. H.; Nesbitt, L. B.

doi:10.1103/physrev.78.487

Cited by 337 publications

(116 citation statements)

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“…The phonon density of states, obtained by inelastic neutron scattering experiments, and the spectrum of the bosons which mediate pairing, as deduced from tunneling experiments, agree very well in systems like, e.g., Pb [13,14]. This comparison of two independent experiments, together with the isotope effect [15,16], are generally considered to be a very reliable proof of a phonon-mediated pairing state.…”

Section: Introductionmentioning

confidence: 70%

Superconductivity from repulsive interaction

Maiti¹,

Chubukov²

2014

Novel Superfluids

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Abstract. The BCS theory of superconductivity named electron-phonon interaction as a glue that overcomes Coulomb repulsion and binds fermions into pairs which then condense and super-conduct. We review recent and not so recent works aiming to understand whether a nominally repulsive Coulomb interaction can by itself give rise to a superconductivity. We first discuss a generic scenario of the pairing by electron-electron interaction, put forward by Kohn and Luttinger back in 1965, and then turn to modern studies of the electronic mechanism of superconductivity in the lattice models for the cuprates, the Fe-pnictides, and the doped graphene. We show that the pairing in all three classes of materials can be viewed as lattice version of Kohn-Luttinger physics, despite that the pairing symmetries are different. We discuss under what conditions the pairing occurs and rationalize the need to do parquet renormalization-group analysis. We also discuss the interplay between superconductivity and density-wave instabilities.

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Section: Introductionmentioning

confidence: 70%

Superconductivity from repulsive interaction

Maiti¹,

Chubukov²

2014

Novel Superfluids

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“…The phonon density of states, obtained by inelastic neutron scattering experiments, and the spectrum of the bosons which mediate pairing, as deduced from tunneling experiments, agree very well in systems like Pb 4,5 . In addition to the isotope effect 6,7 , this comparison of two independent experiments is generally considered to be a very reliable proof of a phonon-mediated pairing state.…”

mentioning

confidence: 99%

A Spin Fluctuation Model for d-Wave Superconductivity

Chubukov¹,

Pines²,

Schmalian³

2003

The Physics of Superconductors

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We review the results of the spin-fermion model for correlated electron materials that are sufficiently close to an antiferromagnatic instability that their staggered static magnetic susceptibility in the normal state is large compared to that found in a conventional Fermi liquid. We demonstrate that for such materials magnetically-mediated superconductivity, brought about by the exchange of spin fluctuations, is a viable alternative to conventional phonon-mediated pairing, and leads to pairing in the d x 2 −y 2 channel. If the dominant interaction between quasiparticles is of electronic origin and, at energies much smaller than the fermionic bandwidth, can be viewed as being due to the emission and absorption of a collective, soft spin degree of freedom, the low-energy physics of these materials is accurately described by the spin-fermion model. The derived dynamic magnetic susceptibility and quasiparticle interaction coincide with the the phenomenonological forms used to fit NMR experiments and in earlier Eliashberg calculations. In discussing normal state properties, the pairing instability and superconducting properties, we focus our attention on those materials that, like the cuprate, organic, and some heavy electron superconductors, display quasi-two dimensional behavior. In the absence of superconductivity, at sufficiently low temperatures and energies, a nearly antiferromagnetic Fermi liquid is unconventional, in that the characteristic energy above which a Landau Fermi liquid description is no longer valid is not the Fermi energy, but is the much smaller spin-fluctuation energy,ω sf . For energies (or temperatures) between ω sf and the Fermi energy, the system behavior is quite different from that in a conventional Fermi liquid. Importantly, it is universal in that it is governed by just two input parameters -an effective spin-fermion interaction energy that sets the overall energy scale, and a dimensionless spin-fermion coupling constant that diverges at the antiferromagnetic quantum critical point. We discuss the pairing instability cased by the spin-fluctuation exchange, and "fingerprints" of a spin mediated pairing that are chiefly associated with the emergence of the resonance peak in the spin response of a d-wave superconductor. We identify these fingerprints in spectroscopic experiments on cuprateb superconconductors. We conclude with a discussion of open questions associated primarily with the nature of the pseudogap state found in underdoped cuprates.

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“…The isotope effect on the superconducting transition temperature T c is one of the hallmarks of phonon-induced superconductivity in conventional superconductors [1]. Many experiments showed that the measured isotope coefficient α in these systems is near the theoretical value of 1/2, confirming the important role played by phonons [2].…”

Section: Introductionmentioning

confidence: 99%

“…Isotope effect on the superconducting critical temperature of cuprates in the presence of charge order Andrés Greco 1,3 and Roland Zeyher…”

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confidence: 99%

Isotope effect on the superconducting critical temperature of cuprates in the presence of charge order

Greco

Zeyher

2015

Supercond. Sci. Technol.

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Using the large-N limit of the t-J model and also allowing for phonons and the electron-phonon interaction, we study the isotope effect α for coupling constants appropriate for YB 2 C 3 O y . We find that α has a minimum at optimal doping and increases strongly (slightly) towards the underdoped (overdoped) region. Using values for the electron-phonon interaction from the local density approximation we get good agreement for α as a function of T c and doping δ with recent experimental data in YB 2 C 3 O y . Our results strongly suggest that the large increase of α in the underdoped region is (a) caused by the shift of electronic spectral density from low to high energies associated with a competing phase (in our case a charge density wave) and the formation of a gap, and (b) compatible with the small electron-phonon coupling constants obtained from the local density approximation. We propose a similar explanation for the anomalous behavior of α in Sr-doped La 2 CuO 4 near the doping 1/8.

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Superconductivity of Isotopes of Mercury

Cited by 337 publications

References 1 publication

Superconductivity from repulsive interaction

Superconductivity from repulsive interaction

A Spin Fluctuation Model for d-Wave Superconductivity

Isotope effect on the superconducting critical temperature of cuprates in the presence of charge order

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