Matches in SemOpenAlex for { <https://semopenalex.org/work/W2045309958> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2045309958 abstract "We study superconductivity in isolated superconducting nano-cubes and nano-squares of size $L$ in the limit of negligible disorder, $delta/Delta_0 ll 1$ and $k_F L gg 1$ for which mean-field theory and semiclassical techniques are applicable, with $k_F$ the Fermi wave vector, $delta$ the mean level spacing and $Delta_0$ the bulk gap. By using periodic orbit theory and number theory we find explicit analytical expressions for the size dependence of the superconducting order parameter. Our formalism takes into account contributions from both the spectral density and the interaction matrix elements in a basis of one-body eigenstates. The leading size dependence of the energy gap in three dimensions seems to be universal as it agrees with the result for chaotic grains. In the region of parameters corresponding to conventional metallic superconductors, and for sizes $L gtrsim 10$nm, the contribution to the superconducting gap from the matrix elements is substantial ($sim 20%$). Deviations from the bulk limit are still clearly observed even for comparatively large grains $L sim 50$nm. These analytical results are in excellent agreement with the numerical solution of the mean-field gap equation." @default.
- W2045309958 created "2016-06-24" @default.
- W2045309958 creator A5007195436 @default.
- W2045309958 creator A5079202809 @default.
- W2045309958 date "2014-07-18" @default.
- W2045309958 modified "2023-10-16" @default.
- W2045309958 title "Number theory, periodic orbits, and superconductivity in nanocubes" @default.
- W2045309958 cites W1488651675 @default.
- W2045309958 cites W1568671078 @default.
- W2045309958 cites W1817176698 @default.
- W2045309958 cites W2012157994 @default.
- W2045309958 cites W2014437371 @default.
- W2045309958 cites W2025848609 @default.
- W2045309958 cites W2031824068 @default.
- W2045309958 cites W2034695902 @default.
- W2045309958 cites W2059041916 @default.
- W2045309958 cites W2061230643 @default.
- W2045309958 cites W2064048797 @default.
- W2045309958 cites W2065230697 @default.
- W2045309958 cites W2065283692 @default.
- W2045309958 cites W2067062972 @default.
- W2045309958 cites W2067075144 @default.
- W2045309958 cites W2086013835 @default.
- W2045309958 cites W2087004205 @default.
- W2045309958 cites W2092771173 @default.
- W2045309958 cites W2095691477 @default.
- W2045309958 cites W2168680512 @default.
- W2045309958 cites W2464534363 @default.
- W2045309958 cites W4246973793 @default.
- W2045309958 doi "https://doi.org/10.1103/physrevb.90.014509" @default.
- W2045309958 hasPublicationYear "2014" @default.
- W2045309958 type Work @default.
- W2045309958 sameAs 2045309958 @default.
- W2045309958 citedByCount "6" @default.
- W2045309958 countsByYear W20453099582016 @default.
- W2045309958 countsByYear W20453099582023 @default.
- W2045309958 crossrefType "journal-article" @default.
- W2045309958 hasAuthorship W2045309958A5007195436 @default.
- W2045309958 hasAuthorship W2045309958A5079202809 @default.
- W2045309958 hasBestOaLocation W20453099582 @default.
- W2045309958 hasConcept C115884887 @default.
- W2045309958 hasConcept C121332964 @default.
- W2045309958 hasConcept C158693339 @default.
- W2045309958 hasConcept C202213908 @default.
- W2045309958 hasConcept C26873012 @default.
- W2045309958 hasConcept C535169671 @default.
- W2045309958 hasConcept C54101563 @default.
- W2045309958 hasConcept C62520636 @default.
- W2045309958 hasConcept C64812099 @default.
- W2045309958 hasConcept C84114770 @default.
- W2045309958 hasConceptScore W2045309958C115884887 @default.
- W2045309958 hasConceptScore W2045309958C121332964 @default.
- W2045309958 hasConceptScore W2045309958C158693339 @default.
- W2045309958 hasConceptScore W2045309958C202213908 @default.
- W2045309958 hasConceptScore W2045309958C26873012 @default.
- W2045309958 hasConceptScore W2045309958C535169671 @default.
- W2045309958 hasConceptScore W2045309958C54101563 @default.
- W2045309958 hasConceptScore W2045309958C62520636 @default.
- W2045309958 hasConceptScore W2045309958C64812099 @default.
- W2045309958 hasConceptScore W2045309958C84114770 @default.
- W2045309958 hasFunder F4320320217 @default.
- W2045309958 hasFunder F4320334627 @default.
- W2045309958 hasFunder F4320337197 @default.
- W2045309958 hasIssue "1" @default.
- W2045309958 hasLocation W20453099581 @default.
- W2045309958 hasLocation W20453099582 @default.
- W2045309958 hasOpenAccess W2045309958 @default.
- W2045309958 hasPrimaryLocation W20453099581 @default.
- W2045309958 hasRelatedWork W1964726280 @default.
- W2045309958 hasRelatedWork W1982439410 @default.
- W2045309958 hasRelatedWork W2017697891 @default.
- W2045309958 hasRelatedWork W2034836031 @default.
- W2045309958 hasRelatedWork W2950230136 @default.
- W2045309958 hasRelatedWork W3018725393 @default.
- W2045309958 hasRelatedWork W3101833153 @default.
- W2045309958 hasRelatedWork W4287375354 @default.
- W2045309958 hasRelatedWork W4287813962 @default.
- W2045309958 hasRelatedWork W4288376261 @default.
- W2045309958 hasVolume "90" @default.
- W2045309958 isParatext "false" @default.
- W2045309958 isRetracted "false" @default.
- W2045309958 magId "2045309958" @default.
- W2045309958 workType "article" @default.