Cotunneling and renormalization effects for the single-electron transistor

被引:60
作者
Konig, J [1 ]
Schoeller, H [1 ]
Schon, G [1 ]
机构
[1] Univ Karlsruhe, Inst Theoret Festkorperphys, D-76128 Karlsruhe, Germany
来源
PHYSICAL REVIEW B | 1998年 / 58卷 / 12期
关键词
D O I
10.1103/PhysRevB.58.7882
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider transport properties through a small metallic island in the perturbative regime. For this purpose we present a diagrammatic expansion of the reduced density matrix up to fourth order in the tunneling matrix elements (cotunneling). Improving our previous theory, we are able to calculate the occupation of the island as well as the conductance through tie transistor at arbitrary temperature and bias voltage. Furthermore, we determine the renormalization of the system parameters and extract the arguments of the leading logarithmic terms (which cannot be derived from usual renormalization-group analysis). We perform the low- and high-temperature limits. In the former, we find a behavior characteristic for the multichannel Kondo model. We find quantitative agreement with recent experiments. [S0163-1829(98)08636-6].
引用
收藏
页码:7882 / 7892
页数:11
相关论文
共 21 条
[11]   Strong tunneling in the single-electron transistor [J].
Joyez, P ;
Bouchiat, V ;
Esteve, D ;
Urbina, C ;
Devoret, MH .
PHYSICAL REVIEW LETTERS, 1997, 79 (07) :1349-1352
[12]  
Konig J, 1995, NATO ADV SCI INST SE, V291, P221
[13]   Zero-bias anomalies and boson-assisted tunneling through quantum dots [J].
Konig, J ;
Schoeller, H ;
Schon, G .
PHYSICAL REVIEW LETTERS, 1996, 76 (10) :1715-1718
[14]   Resonant tunneling through ultrasmall quantum dots: Zero-bias anomalies, magnetic-field dependence, and boson-assisted transport [J].
Konig, J ;
Schmid, J ;
Schoeller, H ;
Schon, G .
PHYSICAL REVIEW B, 1996, 54 (23) :16820-16837
[15]   Cotunneling at resonance for the single-electron transistor [J].
Konig, J ;
Schoeller, H ;
Schon, G .
PHYSICAL REVIEW LETTERS, 1997, 78 (23) :4482-4485
[16]   DIRECT OBSERVATION OF MACROSCOPIC CHARGE QUANTIZATION [J].
LAFARGE, P ;
POTHIER, H ;
WILLIAMS, ER ;
ESTEVE, D ;
URBINA, C ;
DEVORET, MH .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1991, 85 (03) :327-332
[17]   NONDIVERGENT CALCULATION OF UNWANTED HIGH-ORDER TUNNELING RATES IN SINGLE-ELECTRON DEVICES [J].
LAFARGE, P ;
ESTEVE, D .
PHYSICAL REVIEW B, 1993, 48 (19) :14309-14318
[18]  
MATVEEV KA, 1991, ZH EKSP TEOR FIZ+, V99, P1598
[19]   MEASUREMENT OF DISCRETE CHARGE IN THE SYSTEMS OF ULTRA-SMALL TUNNEL-JUNCTIONS [J].
NAZAROV, YV .
JOURNAL OF LOW TEMPERATURE PHYSICS, 1993, 90 (1-2) :77-94
[20]   MESOSCOPIC QUANTUM TRANSPORT - RESONANT-TUNNELING IN THE PRESENCE OF A STRONG COULOMB INTERACTION [J].
SCHOELLER, H ;
SCHON, G .
PHYSICAL REVIEW B, 1994, 50 (24) :18436-18452