Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He
Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from th...
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Gespeichert in:
| Autor*in: |
Zverev, M. V. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2007 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2007 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of low temperature physics - Kluwer Academic Publishers-Plenum Publishers, 1969, 147(2007), 5-6 vom: 05. Apr., Seite 645-665 |
|---|---|
| Übergeordnetes Werk: |
volume:147 ; year:2007 ; number:5-6 ; day:05 ; month:04 ; pages:645-665 |
| Links: |
|---|
| DOI / URN: |
10.1007/s10909-007-9346-5 |
|---|
| Katalog-ID: |
OLC2036806783 |
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| 520 | |a Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from their BCS values, where $${\Delta(T=0)}$$ is the pairing gap at zero temperature, $ T_{c} $ is the critical temperature, and $ C_{s} $ and $ C_{n} $ are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function $${\Delta(p)}$$ , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis. | ||
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| 650 | 4 | |a nodes | |
| 650 | 4 | |a pairing interaction | |
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| 700 | 1 | |a Clark, J. W. |4 aut | |
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10.1007/s10909-007-9346-5 doi (DE-627)OLC2036806783 (DE-He213)s10909-007-9346-5-p DE-627 ger DE-627 rakwb eng 530 VZ Zverev, M. V. verfasserin aut Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from their BCS values, where $${\Delta(T=0)}$$ is the pairing gap at zero temperature, $ T_{c} $ is the critical temperature, and $ C_{s} $ and $ C_{n} $ are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function $${\Delta(p)}$$ , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis. Superfluid helium anomalous behavior thermodynamic properties specific heat gap function momentum dependence nodes pairing interaction Khodel, V. A. aut Clark, J. W. aut Enthalten in Journal of low temperature physics Kluwer Academic Publishers-Plenum Publishers, 1969 147(2007), 5-6 vom: 05. Apr., Seite 645-665 (DE-627)129546267 (DE-600)218311-0 (DE-576)014996642 0022-2291 nnns volume:147 year:2007 number:5-6 day:05 month:04 pages:645-665 https://doi.org/10.1007/s10909-007-9346-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2185 GBV_ILN_4036 GBV_ILN_4126 GBV_ILN_4323 AR 147 2007 5-6 05 04 645-665 |
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10.1007/s10909-007-9346-5 doi (DE-627)OLC2036806783 (DE-He213)s10909-007-9346-5-p DE-627 ger DE-627 rakwb eng 530 VZ Zverev, M. V. verfasserin aut Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from their BCS values, where $${\Delta(T=0)}$$ is the pairing gap at zero temperature, $ T_{c} $ is the critical temperature, and $ C_{s} $ and $ C_{n} $ are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function $${\Delta(p)}$$ , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis. Superfluid helium anomalous behavior thermodynamic properties specific heat gap function momentum dependence nodes pairing interaction Khodel, V. A. aut Clark, J. W. aut Enthalten in Journal of low temperature physics Kluwer Academic Publishers-Plenum Publishers, 1969 147(2007), 5-6 vom: 05. Apr., Seite 645-665 (DE-627)129546267 (DE-600)218311-0 (DE-576)014996642 0022-2291 nnns volume:147 year:2007 number:5-6 day:05 month:04 pages:645-665 https://doi.org/10.1007/s10909-007-9346-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2185 GBV_ILN_4036 GBV_ILN_4126 GBV_ILN_4323 AR 147 2007 5-6 05 04 645-665 |
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10.1007/s10909-007-9346-5 doi (DE-627)OLC2036806783 (DE-He213)s10909-007-9346-5-p DE-627 ger DE-627 rakwb eng 530 VZ Zverev, M. V. verfasserin aut Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from their BCS values, where $${\Delta(T=0)}$$ is the pairing gap at zero temperature, $ T_{c} $ is the critical temperature, and $ C_{s} $ and $ C_{n} $ are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function $${\Delta(p)}$$ , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis. Superfluid helium anomalous behavior thermodynamic properties specific heat gap function momentum dependence nodes pairing interaction Khodel, V. A. aut Clark, J. W. aut Enthalten in Journal of low temperature physics Kluwer Academic Publishers-Plenum Publishers, 1969 147(2007), 5-6 vom: 05. Apr., Seite 645-665 (DE-627)129546267 (DE-600)218311-0 (DE-576)014996642 0022-2291 nnns volume:147 year:2007 number:5-6 day:05 month:04 pages:645-665 https://doi.org/10.1007/s10909-007-9346-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2185 GBV_ILN_4036 GBV_ILN_4126 GBV_ILN_4323 AR 147 2007 5-6 05 04 645-665 |
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10.1007/s10909-007-9346-5 doi (DE-627)OLC2036806783 (DE-He213)s10909-007-9346-5-p DE-627 ger DE-627 rakwb eng 530 VZ Zverev, M. V. verfasserin aut Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from their BCS values, where $${\Delta(T=0)}$$ is the pairing gap at zero temperature, $ T_{c} $ is the critical temperature, and $ C_{s} $ and $ C_{n} $ are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function $${\Delta(p)}$$ , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis. Superfluid helium anomalous behavior thermodynamic properties specific heat gap function momentum dependence nodes pairing interaction Khodel, V. A. aut Clark, J. W. aut Enthalten in Journal of low temperature physics Kluwer Academic Publishers-Plenum Publishers, 1969 147(2007), 5-6 vom: 05. Apr., Seite 645-665 (DE-627)129546267 (DE-600)218311-0 (DE-576)014996642 0022-2291 nnns volume:147 year:2007 number:5-6 day:05 month:04 pages:645-665 https://doi.org/10.1007/s10909-007-9346-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2185 GBV_ILN_4036 GBV_ILN_4126 GBV_ILN_4323 AR 147 2007 5-6 05 04 645-665 |
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10.1007/s10909-007-9346-5 doi (DE-627)OLC2036806783 (DE-He213)s10909-007-9346-5-p DE-627 ger DE-627 rakwb eng 530 VZ Zverev, M. V. verfasserin aut Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from their BCS values, where $${\Delta(T=0)}$$ is the pairing gap at zero temperature, $ T_{c} $ is the critical temperature, and $ C_{s} $ and $ C_{n} $ are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function $${\Delta(p)}$$ , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis. Superfluid helium anomalous behavior thermodynamic properties specific heat gap function momentum dependence nodes pairing interaction Khodel, V. A. aut Clark, J. W. aut Enthalten in Journal of low temperature physics Kluwer Academic Publishers-Plenum Publishers, 1969 147(2007), 5-6 vom: 05. Apr., Seite 645-665 (DE-627)129546267 (DE-600)218311-0 (DE-576)014996642 0022-2291 nnns volume:147 year:2007 number:5-6 day:05 month:04 pages:645-665 https://doi.org/10.1007/s10909-007-9346-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_170 GBV_ILN_2005 GBV_ILN_2185 GBV_ILN_4036 GBV_ILN_4126 GBV_ILN_4323 AR 147 2007 5-6 05 04 645-665 |
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Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He |
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Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He |
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Zverev, M. V. |
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Journal of low temperature physics |
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Zverev, M. V. Khodel, V. A. Clark, J. W. |
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nodes of the gap function and anomalies in thermodynamic properties of the b-phase of superfluid 3he |
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Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He |
| abstract |
Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from their BCS values, where $${\Delta(T=0)}$$ is the pairing gap at zero temperature, $ T_{c} $ is the critical temperature, and $ C_{s} $ and $ C_{n} $ are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function $${\Delta(p)}$$ , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis. © Springer Science+Business Media, LLC 2007 |
| abstractGer |
Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from their BCS values, where $${\Delta(T=0)}$$ is the pairing gap at zero temperature, $ T_{c} $ is the critical temperature, and $ C_{s} $ and $ C_{n} $ are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function $${\Delta(p)}$$ , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis. © Springer Science+Business Media, LLC 2007 |
| abstract_unstemmed |
Departures of thermodynamic properties of the B-phase of three-dimensional superfluid 3He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $${\Delta(T=0)/T_{\rm c}}$$ and $${[C_{\rm s}(T_{\rm c}) - C_{\rm n}(T_{\rm c})]/C_{\rm n}(T_{\rm c})}$$ from their BCS values, where $${\Delta(T=0)}$$ is the pairing gap at zero temperature, $ T_{c} $ is the critical temperature, and $ C_{s} $ and $ C_{n} $ are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function $${\Delta(p)}$$ , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis. © Springer Science+Business Media, LLC 2007 |
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Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He |
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