Heat capacity of mesoscopically disordered superconductors: implications for MgB₂
The electronic specific heat C as a function of temperature T is calculated for a mesoscopically disordered s-wave superconductor treated as a spatial ensemble of domains with continuously varying superconducting properties. Each domain is characterized by a certain critical temperature Tc0 in the r...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2002 |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2002
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| Zitieren: | Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ / A.M. Gabovich, A.I. Voitenko, Mai Suan Li, H. Szymczak // Физика низких температур. — 2002. — Т. 28, № 11. — С. 1126-1137. — Бібліогр.: 105 назв. — англ. |
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Gabovich, A.M. Voitenko, A.I. Mai Suan Li Szymczak, H. 2018-01-13T18:53:59Z 2018-01-13T18:53:59Z 2002 Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ / A.M. Gabovich, A.I. Voitenko, Mai Suan Li, H. Szymczak // Физика низких температур. — 2002. — Т. 28, № 11. — С. 1126-1137. — Бібліогр.: 105 назв. — англ. 0132-6414 PACS: 74.20.-z, 74.25.Bt, 74.80.-g https://nasplib.isofts.kiev.ua/handle/123456789/128718 The electronic specific heat C as a function of temperature T is calculated for a mesoscopically disordered s-wave superconductor treated as a spatial ensemble of domains with continuously varying superconducting properties. Each domain is characterized by a certain critical temperature Tc0 in the range [0,Tc] and is supposed to have a size L > x, where x is the coherence length. Specific calculations are performed for exponential and Gaussian distributions of Tc₀. For low T, the spatially averaged ‹C(T)› is proportional to T², whereas the anomaly at Tc is substantially smeared even for small dispersions. For narrow gap distributions there exists an intermediate T range, where the curve ‹C(T)› can be well approximated by an exponential Bardeen-Cooper-Schrieffer-like dependence with an effective gap smaller than the weak-coupling value. The results obtained successfully reproduce the salient features of the C(T) data for MgB₂, where a wide superconducting gap distribution has been observed previously in the tunneling, point-contact, photoemission and Raman spectra. The conclusion is reached that the multiple-gap behavior of superconducting MgB₂ is due to the spatial distribution of dissimilar domains. Intrinsic nonstoichiometry of the compound or possible electronic phase separation may be the origin of the mesoscopic inhomogeneities. The same model describes the low-T heat capacity of cuprates, although the sources of inhomogeneity are different from those in MgB₂. A. M. G. is grateful to the Mianowski Foundation for support of his visit to Warsaw University. M. S. L. was supported by the Polish agency KBN (Grant No 2P03B-146-18). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Свеpхпpоводимость, в том числе высокотемпеpатуpная Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ |
| spellingShingle |
Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ Gabovich, A.M. Voitenko, A.I. Mai Suan Li Szymczak, H. Свеpхпpоводимость, в том числе высокотемпеpатуpная |
| title_short |
Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ |
| title_full |
Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ |
| title_fullStr |
Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ |
| title_full_unstemmed |
Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ |
| title_sort |
heat capacity of mesoscopically disordered superconductors: implications for mgb₂ |
| author |
Gabovich, A.M. Voitenko, A.I. Mai Suan Li Szymczak, H. |
| author_facet |
Gabovich, A.M. Voitenko, A.I. Mai Suan Li Szymczak, H. |
| topic |
Свеpхпpоводимость, в том числе высокотемпеpатуpная |
| topic_facet |
Свеpхпpоводимость, в том числе высокотемпеpатуpная |
| publishDate |
2002 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
The electronic specific heat C as a function of temperature T is calculated for a mesoscopically disordered s-wave superconductor treated as a spatial ensemble of domains with continuously varying superconducting properties. Each domain is characterized by a certain critical temperature Tc0 in the range [0,Tc] and is supposed to have a size L > x, where x is the coherence length. Specific calculations are performed for exponential and Gaussian distributions of Tc₀. For low T, the spatially averaged ‹C(T)› is proportional to T², whereas the anomaly at Tc is substantially smeared even for small dispersions. For narrow gap distributions there exists an intermediate T range, where the curve ‹C(T)› can be well approximated by an exponential Bardeen-Cooper-Schrieffer-like dependence with an effective gap smaller than the weak-coupling value. The results obtained successfully reproduce the salient features of the C(T) data for MgB₂, where a wide superconducting gap distribution has been observed previously in the tunneling, point-contact, photoemission and Raman spectra. The conclusion is reached that the multiple-gap behavior of superconducting MgB₂ is due to the spatial distribution of dissimilar domains. Intrinsic nonstoichiometry of the compound or possible electronic phase separation may be the origin of the mesoscopic inhomogeneities. The same model describes the low-T heat capacity of cuprates, although the sources of inhomogeneity are different from those in MgB₂.
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| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/128718 |
| citation_txt |
Heat capacity of mesoscopically disordered superconductors: implications for MgB₂ / A.M. Gabovich, A.I. Voitenko, Mai Suan Li, H. Szymczak // Физика низких температур. — 2002. — Т. 28, № 11. — С. 1126-1137. — Бібліогр.: 105 назв. — англ. |
| work_keys_str_mv |
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| first_indexed |
2025-12-07T20:57:56Z |
| last_indexed |
2025-12-07T20:57:56Z |
| _version_ |
1850884568939233280 |