Ambegaokar-Baratoff relations for Josephson critical current in heterojunctions with multigap superconductors

Ota, Yuji; Nakai, N.; Nakamura, Hiroki; Machida, Masahiko; Inotani, Daisuke; Ōhashi, Y.; Koyama, Tomio; Matsumoto, Hideki

doi:10.1103/physrevb.81.214511

Cited by 37 publications

(25 citation statements)

References 60 publications

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“…Within the framework of the quasiclassical Eilenberger equations and the respective generalization of the Kupriyanov-Lukichev boundary conditions, one can derive the Ambegaokar-Baratov equation for the junctions formed by multiband (two-band) superconductors 84 (a more detailed analysis of the equation for iron superconductors has been carried out in Ref. 85).…”

Section: Sns and Sis Junctionsmentioning

confidence: 99%

Proximity and Josephson effects in microstructures based on multiband superconductors (Review Article)

Yerin

Omelyanchouk

2017

Low Temperature Physics

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Emerging in the 1950s, the multiband superconductivity has been considered for a long time as an approximate model in the form of a generalization of the BCS theory to the case of two bands for a more accurate quantitative description of the properties and characteristics of such superconductors as cuprates, heavy fermions compounds, metal boron carbides, fullerides, strontium ruthenate etc. due to their complex piecewise-continuous Fermi surfaces. However the discovery of the multiband structure of the superconducting state in magnesium diboride in 2001 and iron oxypnictides and chalcogenides in 2008 led to the appearance of many papers in which effects and different dependences well known for conventional single-band s-wave superconductors were reexamined. The main purpose of these studies was to reveal the symmetry type of the order parameter, which provides an important information about the mechanism of Cooper pairing in these superconductors. One of the most effective methods of obtaining information on the symmetry properties of the order parameter in the multiband superconductors is phase-sensitive techniques. This review summarizes the results of theoretical and experimental studies of the proximity and Josephson effects in systems based on multiband superconductors in contact with normal metals, insulators and other superconductors.

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Section: Sns and Sis Junctionsmentioning

confidence: 99%

Proximity and Josephson effects in microstructures based on multiband superconductors (Review Article)

Yerin

Omelyanchouk

2017

Low Temperature Physics

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“…For the temperature dependence of the critical current, several models exist for different types of coupling mechanisms and barrier types, as well as for hybrid and full‐pnictide junctions. Usually, these models are based on standard models for junctions with s‐wave superconductor electrodes, extended to the special requirements of the s± symmetry.…”

Section: Electrical Characterisation Of the Junctionsmentioning

confidence: 99%

Josephson effects at iron pnictide superconductors: Approaching phase‐sensitive experiments

Schmidt

Döring

Hasan

et al. 2016

Physica Status Solidi (b)

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The electrical transport in the pnictides especially the quasiparticle tunnelling and Josephson effects in inhomogeneous superconducting systems can provide information on the symmetry of the order parameter. Different kinds of Josephson junctions with one or two pnictide electrodes were realised and their properties were experimentally studied in detail (e.g., current–voltage characteristics, microwave response, current‐phase relations, dependencies on temperature and external magnetic field). These results were compared to well‐known Josephson junctions and recent theories taking into account the special properties (multiband superconductivity, exotic pairing symmetry) of the pnictides. By combination of two junctions in different crystal directions with different barrier transparencies one forms corner junctions or SQUIDs as phase‐sensitive devices. If the technological problems can be solved the investigations on such devices will finally clear up the symmetry of the pnictides, directly. These investigations will lead to a better understanding of fundamental properties of the pnictides as well as to a realistic judgement on the potential for applications of pnictides in superconducting electronics and sensor applications, both established ones and novel ones utilising the special pnictide properties.

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“…intriguing application examples. [1][2][3][4] The Bogoliubov-de Gennes (BdG) equation 5) is a theoretical starting-point in these systems. Its self-consistent solution gives information such as non-trivial quasi-particle excitation-spectra and inhomogeneous superconducting gap.…”

Section: Introductionmentioning

confidence: 99%

Efficient Numerical Self-Consistent Mean-Field Approach for Fermionic Many-Body Systems by Polynomial Expansion on Spectral Density

2012

Self Cite

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We propose an efficient numerical algorithm to solve Bogoliubov de Gennes equations self-consistently for inhomogeneous superconducting systems with a reformulated polynomial expansion scheme. This proposed method is applied to typical issues such as a vortex under randomly distributed impurities and a normal conducting junction sandwiched between superconductors. With various technical remarks, we show that its efficiency becomes remarkable in large-scale parallel performance.

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Ambegaokar-Baratoff relations for Josephson critical current in heterojunctions with multigap superconductors

Cited by 37 publications

References 60 publications

Proximity and Josephson effects in microstructures based on multiband superconductors (Review Article)

Proximity and Josephson effects in microstructures based on multiband superconductors (Review Article)

Josephson effects at iron pnictide superconductors: Approaching phase‐sensitive experiments

Efficient Numerical Self-Consistent Mean-Field Approach for Fermionic Many-Body Systems by Polynomial Expansion on Spectral Density

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