Kondo effect and mesoscopic fluctuations
Abstract Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, i...
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Gespeichert in:
| Autor*in: |
ULLMO, DENIS [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2011 |
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| Schlagwörter: |
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| Anmerkung: |
© Indian Academy of Sciences 2011 |
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| Übergeordnetes Werk: |
Enthalten in: Pramāna - Springer-Verlag, 1973, 77(2011), 5 vom: 29. Okt., Seite 769-779 |
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| Übergeordnetes Werk: |
volume:77 ; year:2011 ; number:5 ; day:29 ; month:10 ; pages:769-779 |
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| DOI / URN: |
10.1007/s12043-011-0191-3 |
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| 520 | |a Abstract Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, in a nanoscale system with mesoscopic fluctuations; in particular, we consider a small quantum dot coupled to a finite reservoir (which itself may be a large quantum dot). We discuss three aspects of this problem. First, in the high-temperature regime, we argue that a Kondo temperature Tk which takes into account the mesoscopic fluctuations is a relevant concept: for instance, physical properties are universal functions of T/Tk. Secondly, when the temperature is much less than the mean level spacing due to confinement, we characterize a natural cross-over from weak to strong coupling. This strong coupling regime is itself characterized by well-defined single-particle levels, as one can see from a Nozières Fermi-liquid theory argument. Finally, using a mean-field technique, we connect the mesoscopic fluctuations of the quasiparticles in the weak coupling regime to those at strong coupling. | ||
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10.1007/s12043-011-0191-3 doi (DE-627)OLC207605801X (DE-He213)s12043-011-0191-3-p DE-627 ger DE-627 rakwb eng 530 VZ ULLMO, DENIS verfasserin aut Kondo effect and mesoscopic fluctuations 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2011 Abstract Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, in a nanoscale system with mesoscopic fluctuations; in particular, we consider a small quantum dot coupled to a finite reservoir (which itself may be a large quantum dot). We discuss three aspects of this problem. First, in the high-temperature regime, we argue that a Kondo temperature Tk which takes into account the mesoscopic fluctuations is a relevant concept: for instance, physical properties are universal functions of T/Tk. Secondly, when the temperature is much less than the mean level spacing due to confinement, we characterize a natural cross-over from weak to strong coupling. This strong coupling regime is itself characterized by well-defined single-particle levels, as one can see from a Nozières Fermi-liquid theory argument. Finally, using a mean-field technique, we connect the mesoscopic fluctuations of the quasiparticles in the weak coupling regime to those at strong coupling. Kondo quantum dots finite size effects mesoscopic BURDIN, SÉBASTIEN aut LIU, DONG E aut BARANGER, HAROLD U aut Enthalten in Pramāna Springer-Verlag, 1973 77(2011), 5 vom: 29. Okt., Seite 769-779 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:77 year:2011 number:5 day:29 month:10 pages:769-779 https://doi.org/10.1007/s12043-011-0191-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 77 2011 5 29 10 769-779 |
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10.1007/s12043-011-0191-3 doi (DE-627)OLC207605801X (DE-He213)s12043-011-0191-3-p DE-627 ger DE-627 rakwb eng 530 VZ ULLMO, DENIS verfasserin aut Kondo effect and mesoscopic fluctuations 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2011 Abstract Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, in a nanoscale system with mesoscopic fluctuations; in particular, we consider a small quantum dot coupled to a finite reservoir (which itself may be a large quantum dot). We discuss three aspects of this problem. First, in the high-temperature regime, we argue that a Kondo temperature Tk which takes into account the mesoscopic fluctuations is a relevant concept: for instance, physical properties are universal functions of T/Tk. Secondly, when the temperature is much less than the mean level spacing due to confinement, we characterize a natural cross-over from weak to strong coupling. This strong coupling regime is itself characterized by well-defined single-particle levels, as one can see from a Nozières Fermi-liquid theory argument. Finally, using a mean-field technique, we connect the mesoscopic fluctuations of the quasiparticles in the weak coupling regime to those at strong coupling. Kondo quantum dots finite size effects mesoscopic BURDIN, SÉBASTIEN aut LIU, DONG E aut BARANGER, HAROLD U aut Enthalten in Pramāna Springer-Verlag, 1973 77(2011), 5 vom: 29. Okt., Seite 769-779 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:77 year:2011 number:5 day:29 month:10 pages:769-779 https://doi.org/10.1007/s12043-011-0191-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 77 2011 5 29 10 769-779 |
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10.1007/s12043-011-0191-3 doi (DE-627)OLC207605801X (DE-He213)s12043-011-0191-3-p DE-627 ger DE-627 rakwb eng 530 VZ ULLMO, DENIS verfasserin aut Kondo effect and mesoscopic fluctuations 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2011 Abstract Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, in a nanoscale system with mesoscopic fluctuations; in particular, we consider a small quantum dot coupled to a finite reservoir (which itself may be a large quantum dot). We discuss three aspects of this problem. First, in the high-temperature regime, we argue that a Kondo temperature Tk which takes into account the mesoscopic fluctuations is a relevant concept: for instance, physical properties are universal functions of T/Tk. Secondly, when the temperature is much less than the mean level spacing due to confinement, we characterize a natural cross-over from weak to strong coupling. This strong coupling regime is itself characterized by well-defined single-particle levels, as one can see from a Nozières Fermi-liquid theory argument. Finally, using a mean-field technique, we connect the mesoscopic fluctuations of the quasiparticles in the weak coupling regime to those at strong coupling. Kondo quantum dots finite size effects mesoscopic BURDIN, SÉBASTIEN aut LIU, DONG E aut BARANGER, HAROLD U aut Enthalten in Pramāna Springer-Verlag, 1973 77(2011), 5 vom: 29. Okt., Seite 769-779 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:77 year:2011 number:5 day:29 month:10 pages:769-779 https://doi.org/10.1007/s12043-011-0191-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 77 2011 5 29 10 769-779 |
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10.1007/s12043-011-0191-3 doi (DE-627)OLC207605801X (DE-He213)s12043-011-0191-3-p DE-627 ger DE-627 rakwb eng 530 VZ ULLMO, DENIS verfasserin aut Kondo effect and mesoscopic fluctuations 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2011 Abstract Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, in a nanoscale system with mesoscopic fluctuations; in particular, we consider a small quantum dot coupled to a finite reservoir (which itself may be a large quantum dot). We discuss three aspects of this problem. First, in the high-temperature regime, we argue that a Kondo temperature Tk which takes into account the mesoscopic fluctuations is a relevant concept: for instance, physical properties are universal functions of T/Tk. Secondly, when the temperature is much less than the mean level spacing due to confinement, we characterize a natural cross-over from weak to strong coupling. This strong coupling regime is itself characterized by well-defined single-particle levels, as one can see from a Nozières Fermi-liquid theory argument. Finally, using a mean-field technique, we connect the mesoscopic fluctuations of the quasiparticles in the weak coupling regime to those at strong coupling. Kondo quantum dots finite size effects mesoscopic BURDIN, SÉBASTIEN aut LIU, DONG E aut BARANGER, HAROLD U aut Enthalten in Pramāna Springer-Verlag, 1973 77(2011), 5 vom: 29. Okt., Seite 769-779 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:77 year:2011 number:5 day:29 month:10 pages:769-779 https://doi.org/10.1007/s12043-011-0191-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 77 2011 5 29 10 769-779 |
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Abstract Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, in a nanoscale system with mesoscopic fluctuations; in particular, we consider a small quantum dot coupled to a finite reservoir (which itself may be a large quantum dot). We discuss three aspects of this problem. First, in the high-temperature regime, we argue that a Kondo temperature Tk which takes into account the mesoscopic fluctuations is a relevant concept: for instance, physical properties are universal functions of T/Tk. Secondly, when the temperature is much less than the mean level spacing due to confinement, we characterize a natural cross-over from weak to strong coupling. This strong coupling regime is itself characterized by well-defined single-particle levels, as one can see from a Nozières Fermi-liquid theory argument. Finally, using a mean-field technique, we connect the mesoscopic fluctuations of the quasiparticles in the weak coupling regime to those at strong coupling. © Indian Academy of Sciences 2011 |
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Abstract Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, in a nanoscale system with mesoscopic fluctuations; in particular, we consider a small quantum dot coupled to a finite reservoir (which itself may be a large quantum dot). We discuss three aspects of this problem. First, in the high-temperature regime, we argue that a Kondo temperature Tk which takes into account the mesoscopic fluctuations is a relevant concept: for instance, physical properties are universal functions of T/Tk. Secondly, when the temperature is much less than the mean level spacing due to confinement, we characterize a natural cross-over from weak to strong coupling. This strong coupling regime is itself characterized by well-defined single-particle levels, as one can see from a Nozières Fermi-liquid theory argument. Finally, using a mean-field technique, we connect the mesoscopic fluctuations of the quasiparticles in the weak coupling regime to those at strong coupling. © Indian Academy of Sciences 2011 |
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Abstract Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, in a nanoscale system with mesoscopic fluctuations; in particular, we consider a small quantum dot coupled to a finite reservoir (which itself may be a large quantum dot). We discuss three aspects of this problem. First, in the high-temperature regime, we argue that a Kondo temperature Tk which takes into account the mesoscopic fluctuations is a relevant concept: for instance, physical properties are universal functions of T/Tk. Secondly, when the temperature is much less than the mean level spacing due to confinement, we characterize a natural cross-over from weak to strong coupling. This strong coupling regime is itself characterized by well-defined single-particle levels, as one can see from a Nozières Fermi-liquid theory argument. Finally, using a mean-field technique, we connect the mesoscopic fluctuations of the quasiparticles in the weak coupling regime to those at strong coupling. © Indian Academy of Sciences 2011 |
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BURDIN, SÉBASTIEN LIU, DONG E BARANGER, HAROLD U |
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