Berry Connection from Many-Body Wave Functions and Superconductivity: Calculations by the Particle Number Conserving Bogoliubov-De Gennes Equations
Abstract A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional sup...
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Gespeichert in:
| Autor*in: |
Koizumi, Hiroyasu [verfasserIn] Ishikawa, Alto [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
The particle number conserving Bogoliubov-de Gennes equations |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of superconductivity - Dordrecht [u.a.] : Springer Science + Business Media B.V., 1988, 34(2021), 11 vom: 14. Sept., Seite 2795-2808 |
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| Übergeordnetes Werk: |
volume:34 ; year:2021 ; number:11 ; day:14 ; month:09 ; pages:2795-2808 |
| Links: |
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| DOI / URN: |
10.1007/s10948-021-05991-y |
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SPR04535362X |
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10.1007/s10948-021-05991-y doi (DE-627)SPR04535362X (SPR)s10948-021-05991-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.74 bkl Koizumi, Hiroyasu verfasserin aut Berry Connection from Many-Body Wave Functions and Superconductivity: Calculations by the Particle Number Conserving Bogoliubov-De Gennes Equations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. Berry connection (dpeaa)DE-He213 The particle number conserving Bogoliubov-de Gennes equations (dpeaa)DE-He213 Berry phase (dpeaa)DE-He213 Ishikawa, Alto verfasserin aut Enthalten in Journal of superconductivity Dordrecht [u.a.] : Springer Science + Business Media B.V., 1988 34(2021), 11 vom: 14. Sept., Seite 2795-2808 (DE-627)313651175 (DE-600)2000540-4 1572-9605 nnns volume:34 year:2021 number:11 day:14 month:09 pages:2795-2808 https://dx.doi.org/10.1007/s10948-021-05991-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 33.74 ASE AR 34 2021 11 14 09 2795-2808 |
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10.1007/s10948-021-05991-y doi (DE-627)SPR04535362X (SPR)s10948-021-05991-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.74 bkl Koizumi, Hiroyasu verfasserin aut Berry Connection from Many-Body Wave Functions and Superconductivity: Calculations by the Particle Number Conserving Bogoliubov-De Gennes Equations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. Berry connection (dpeaa)DE-He213 The particle number conserving Bogoliubov-de Gennes equations (dpeaa)DE-He213 Berry phase (dpeaa)DE-He213 Ishikawa, Alto verfasserin aut Enthalten in Journal of superconductivity Dordrecht [u.a.] : Springer Science + Business Media B.V., 1988 34(2021), 11 vom: 14. Sept., Seite 2795-2808 (DE-627)313651175 (DE-600)2000540-4 1572-9605 nnns volume:34 year:2021 number:11 day:14 month:09 pages:2795-2808 https://dx.doi.org/10.1007/s10948-021-05991-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 33.74 ASE AR 34 2021 11 14 09 2795-2808 |
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10.1007/s10948-021-05991-y doi (DE-627)SPR04535362X (SPR)s10948-021-05991-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.74 bkl Koizumi, Hiroyasu verfasserin aut Berry Connection from Many-Body Wave Functions and Superconductivity: Calculations by the Particle Number Conserving Bogoliubov-De Gennes Equations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. Berry connection (dpeaa)DE-He213 The particle number conserving Bogoliubov-de Gennes equations (dpeaa)DE-He213 Berry phase (dpeaa)DE-He213 Ishikawa, Alto verfasserin aut Enthalten in Journal of superconductivity Dordrecht [u.a.] : Springer Science + Business Media B.V., 1988 34(2021), 11 vom: 14. Sept., Seite 2795-2808 (DE-627)313651175 (DE-600)2000540-4 1572-9605 nnns volume:34 year:2021 number:11 day:14 month:09 pages:2795-2808 https://dx.doi.org/10.1007/s10948-021-05991-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 33.74 ASE AR 34 2021 11 14 09 2795-2808 |
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10.1007/s10948-021-05991-y doi (DE-627)SPR04535362X (SPR)s10948-021-05991-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.74 bkl Koizumi, Hiroyasu verfasserin aut Berry Connection from Many-Body Wave Functions and Superconductivity: Calculations by the Particle Number Conserving Bogoliubov-De Gennes Equations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. Berry connection (dpeaa)DE-He213 The particle number conserving Bogoliubov-de Gennes equations (dpeaa)DE-He213 Berry phase (dpeaa)DE-He213 Ishikawa, Alto verfasserin aut Enthalten in Journal of superconductivity Dordrecht [u.a.] : Springer Science + Business Media B.V., 1988 34(2021), 11 vom: 14. Sept., Seite 2795-2808 (DE-627)313651175 (DE-600)2000540-4 1572-9605 nnns volume:34 year:2021 number:11 day:14 month:09 pages:2795-2808 https://dx.doi.org/10.1007/s10948-021-05991-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 33.74 ASE AR 34 2021 11 14 09 2795-2808 |
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10.1007/s10948-021-05991-y doi (DE-627)SPR04535362X (SPR)s10948-021-05991-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.74 bkl Koizumi, Hiroyasu verfasserin aut Berry Connection from Many-Body Wave Functions and Superconductivity: Calculations by the Particle Number Conserving Bogoliubov-De Gennes Equations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. Berry connection (dpeaa)DE-He213 The particle number conserving Bogoliubov-de Gennes equations (dpeaa)DE-He213 Berry phase (dpeaa)DE-He213 Ishikawa, Alto verfasserin aut Enthalten in Journal of superconductivity Dordrecht [u.a.] : Springer Science + Business Media B.V., 1988 34(2021), 11 vom: 14. Sept., Seite 2795-2808 (DE-627)313651175 (DE-600)2000540-4 1572-9605 nnns volume:34 year:2021 number:11 day:14 month:09 pages:2795-2808 https://dx.doi.org/10.1007/s10948-021-05991-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 33.74 ASE AR 34 2021 11 14 09 2795-2808 |
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Berry Connection from Many-Body Wave Functions and Superconductivity: Calculations by the Particle Number Conserving Bogoliubov-De Gennes Equations |
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Abstract A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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Abstract A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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Abstract A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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