(RE)Ba2Cu3O7−δ and the Roeser-Huber Formula

Koblischka-Veneva, Anjela; Koblischka, Michael Rudolf

doi:10.3390/ma14206068

Cited by 5 publications

(2 citation statements)

References 78 publications

(148 reference statements)

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“…For high-temperature superconductors (HTSc), and later also for iron-based superconductors (IBS), fullerenes, elemental superconductors and metallic alloys, the Roeser-Huber fomula was developed to calculate the superconducting transition temperature, T c . This approach only requires to find a characteristic length of the sample crystallography, x, and some knowledge about the electronic configuration [68][69][70][71][72][73][74][75][76]. All this information may be found in existing databases.…”

Section: Introductionmentioning

confidence: 99%

Moiré Superconductivity and the Roeser-Huber Formula

Koblischka¹,

Koblischka-Veneva²

2023

Preprint

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As shown previously, a relation between the superconducting transition temperature and some characteristic distance in the crystal lattice holds, which enables the calculation of the superconducting transition temperature, Tc, based only on the knowledge of the electronic configuration and of some details of the crystallographic structure. This relation was found to apply for a large number of superconductors, including the high-temperature superconductors, the iron-based materials, alkali fullerides, metallic alloys, and element superconductors. When applying this scheme called Roeser-Huber formula to Moiré-type superconductivity, i.e., magic-angle twisted bi-layer graphene (tBLG) and bi-layer WSe2, we find that the calculated transition temperatures for tBLG are always higher than the available experimental data, e.g., for the magic angle 1.1∘, we find Tc≈ 4.2–6.7 K. Now, the question arises why the calculation produces larger Tc’s. Two possible scenarios may answer this question: (1) The given problem for experimentalists is the fact that for electric measurements always substrates/caps are required to arrange the electric contacts. When now discussing superconductivity in atomically thin objects, also these layers may play a role forming the Moiré patterns. The consequence of such substrate-induced super-Moiré patterns is that the resulting Moiré pattern always will show a larger cell size, and thus, a lower Tc of the final structure will result. (2) A correction factor to the Roeser-Huber formalism may be required to account for the low charge carrier density of the tBLG. Here, we test both scenarios and find that the introduction of a correction factor η enables a proper calculation of Tc, reproducing the experimental data. We find that η depends exponentially on the value of Tc.

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Section: Introductionmentioning

confidence: 99%

Moiré Superconductivity and the Roeser-Huber Formula

Koblischka¹,

Koblischka-Veneva²

2023

Preprint

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“…We use the Roeser-Huber formalism [1][2][3][4] to calculate the superconducting transition temperature, T c , of the superconducting elements in ambient conditions as well as under pressure. Up to now, there are 53 superconducting elements known (in ambient conditions and under pressure, [5,6]), and three more are superconductors under special conditions (i.e., in thin film form (Cr), after irradiation (Pd), or C in several modifications [7], e.g., diamond films, alkali-doped fullerene, and carbon nanotubes).…”

Section: Introductionmentioning

confidence: 99%

Calculation of Tc of Superconducting Elements with the Roeser–Huber Formalism

Koblischka

Koblischka-Veneva

2022

Metals

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The superconducting transition temperature, Tc, can be calculated for practically all superconducting elements using the Roeser–Huber formalism. Superconductivity is treated as a resonance effect between the charge carrier wave, i.e., the Cooper pairs, and a characteristic distance, x, in the crystal structure. To calculate Tc for element superconductors, only x and information on the electronic configuration is required. Here, we lay out the principles to find the characteristic lengths, which may require us to sum up the results stemming from several possible paths in the case of more complicated crystal structures. In this way, we establish a non-trivial relation between superconductivity and the respective crystal structure. The model enables a detailed study of polymorphic elements showing superconductivity in different types of crystal structures like Hg or La, or the calculation of Tc under applied pressure. Using the Roeser–Huber approach, the structure-dependent different Tc’s of practically all superconducting elements can nicely be reproduced, demonstrating the usefulness of this approach offering an easy and relatively simple calculation procedure, which can be straightforwardly incorporated in machine-learning approaches.

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Description of Resistive Transition for Type-II Superconductors

Gokhfeld

2024

J Supercond Nov Magn

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(RE)Ba2Cu3O7−δ and the Roeser-Huber Formula

Cited by 5 publications

References 78 publications

Moiré Superconductivity and the Roeser-Huber Formula

Moiré Superconductivity and the Roeser-Huber Formula

Calculation of Tc of Superconducting Elements with the Roeser–Huber Formalism

Description of Resistive Transition for Type-II Superconductors

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