Correlation between transition temperature and crystal structure of niobium, vanadium, tantalum and mercury superconductors

Roeser, Hans─Peter; Haslam, D.T.; Lopez, J.; Stepper, M.; Schoenermark, M.F. von; Huber, Felix; Nikoghosyan, A.S.

doi:10.1016/j.actaastro.2010.06.048

Cited by 5 publications

(15 citation statements)

References 5 publications

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“…In case the crystal structure offers straight lines or arrays of equidistant atoms with separation length (x) throughout the unit cell, one could relate the energy of the unit cell to the ground state E 1 of a one-dimensional PiB, which scales with the size of the unit cell. In [31], the slope of the straight line that was fitted to the graph (2x) 2 N eff = m 2 • 1/T c was determined to be m 2 ≈ 3.0 × 10 −18 m 2 K. This clearly demonstrated that the approach was valid also for conventional superconductors, but many related questions remained unanswered. Especially, the more complex crystal structures of lead or aluminum (fcc) did not give satisfying results.…”

Section: Outline Of the Modelmentioning

confidence: 87%

“…A first investigation on the metallic superconductors niobium, vanadium, tantalum and mercury has demonstrated that a calculation of the superconducting transition temperatures is possible using the approach that the bond length (x) represents the shortest atomic separation in a crystal unit cell [31]. Using the particle-in-box (PiB) concept [30], the energy level estimate for electronic excitation in an atom is given by E = h 2 /(8m e d 2…”

Section: Outline Of the Modelmentioning

confidence: 99%

“…(i) The distance x is no longer related to the doping distance as in the case of HTSc, but corresponds to an atomic distance similar to the PiB approach applied in [31]. (ii) In all calculations of the various HTSc materials, M L was set equal to 2m e (m e = electron mass).…”

Section: Outline Of the Modelmentioning

confidence: 99%

“…As mentioned before, the simple search for the shortest interatomic distance, x, did not give proper results. Figure 4 presents the first attempts of the calculations together with the data (Nb, Hg, V and Ta) from [31]. The fit obtained in [31] is given as the blue line.…”

Section: Leadmentioning

confidence: 99%

“…Figure 4 presents the first attempts of the calculations together with the data (Nb, Hg, V and Ta) from [31]. The fit obtained in [31] is given as the blue line. The situation was even worse when also regarding Al, which had the same fcc crystal structure as Pb.…”

Section: Leadmentioning

confidence: 99%

See 4 more Smart Citations

Relation between Crystal Structure and Transition Temperature of Superconducting Metals and Alloys

Koblischka

Roth

Koblischka-Veneva

et al. 2020

Metals

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Using the Roeser–Huber equation, which was originally developed for high temperature superconductors (HTSc) (H. Roeser et al., Acta Astronautica 62 (2008) 733), we present a calculation of the superconducting transition temperatures, T c , of some elements with fcc unit cells (Pb, Al), some elements with bcc unit cells (Nb, V), Sn with a tetragonal unit cell and several simple metallic alloys (NbN, NbTi, the A15 compounds and MgB 2 ). All calculations used only the crystallographic information and available data of the electronic configuration of the constituents. The model itself is based on viewing superconductivity as a resonance effect, and the superconducting charge carriers moving through the crystal interact with a typical crystal distance, x. It is found that all calculated T c -data fall within a narrow error margin on a straight line when plotting ( 2 x ) 2 vs. 1 / T c like in the case for HTSc. Furthermore, we discuss the problems when obtaining data for T c from the literature or from experiments, which are needed for comparison with the calculated data. The T c -data presented here agree reasonably well with the literature data.

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Section: Outline Of the Modelmentioning

confidence: 87%

Section: Outline Of the Modelmentioning

confidence: 99%

Section: Outline Of the Modelmentioning

confidence: 99%

Section: Leadmentioning

confidence: 99%

Section: Leadmentioning

confidence: 99%

See 3 more Smart Citations

Relation between Crystal Structure and Transition Temperature of Superconducting Metals and Alloys

Koblischka

Roth

Koblischka-Veneva

et al. 2020

Metals

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show abstract

Classical Superconductors Materials, Structures and Properties

Koblischka

Koblischka-Veneva

2022

Superconducting Materials

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Electronic Energy Levels in High-Temperature Superconductors

Roeser

Haslam

Lopez

et al. 2010

J Supercond Nov Magn

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Parent materials of high-temperature superconductors (HTSC) need to be doped to become superconducting. The optimum doping for maximum critical transition temperature T c has been analyzed for more than 20 materials. Assuming a uniform doping distribution the distance x between doped unit cells-projected into the CuO 2 plane for cuprates-shows a strong linear correlation to the inverse of T c in the form (2x) 2 = m 1 1/T c with a slope of m 1 = (2.786 ± 0.029) × 10 −15 m 2 K. The mercury cuprate homologous series HgBa 2 Ca n − 1 Cu n O 2n+2+δ with n = 1, 2, 3 has been used to demonstrate the procedure deriving the doping distance x from the optimum doping value δ.

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Correlation between transition temperature and crystal structure of niobium, vanadium, tantalum and mercury superconductors

Cited by 5 publications

References 5 publications

Relation between Crystal Structure and Transition Temperature of Superconducting Metals and Alloys

Relation between Crystal Structure and Transition Temperature of Superconducting Metals and Alloys

Classical Superconductors Materials, Structures and Properties

Electronic Energy Levels in High-Temperature Superconductors

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