Buildup of the Kondo effect from real-time effective action for the Anderson impurity model

被引：12
作者：
Bock, Sebastian [1 ,2 ]
Liluashvili, Alexander [1 ,2 ]
Gasenzer, Thomas [1 ,2 ,3 ]
机构：
[1] Heidelberg Univ, Inst Theoret Phys, Philosophenweg 16, D-69120 Heidelberg, Germany
[2] GSI Helmholtzzentrum Schwerionenforsch GmbH, ExtreMe Matter Inst EMMI, Planckstr 1, D-64291 Darmstadt, Germany
[3] Heidelberg Univ, Kirchhoff Inst Phys, Neuenheimer Feld 227, D-69120 Heidelberg, Germany
来源：
PHYSICAL REVIEW B | 2016年 / 94卷 / 04期
关键词：
MULTILEVEL BLOCKING APPROACH; SEMICONDUCTOR QUANTUM DOTS; SINGLE-ELECTRON TRANSISTOR; MONTE-CARLO SIMULATIONS; FRIEDEL SUM-RULE; RENORMALIZATION-GROUP; SIGN PROBLEM; EQUILIBRIUM; TRANSPORT; DYNAMICS;
D O I：
10.1103/PhysRevB.94.045108
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The nonequilibrium time evolution of a quantum dot is studied by means of dynamic equations for time-dependent Green's functions derived from a two-particle-irreducible (2PI) effective action for the Anderson impurity model. Coupling the dot between two leads at different voltages, the dynamics of the current through the dot is investigated. We show that the 2PI approach is capable of describing the dynamical buildup of the Kondo effect, which shows up as a sharp resonance in the spectral function, with a width exponentially suppressed in the electron self-coupling on the dot. An external voltage applied to the dot is found to deteriorate the Kondo effect at the hybridization scale. The dynamic equations are evaluated within different nonperturbative resummation schemes, within the direct, particle-particle, and particle-hole channels, as well as their combination, and the results compared with those from other methods.
引用
收藏
页数：24
相关论文
共 130 条
[1]   Far-from-equilibrium dynamics with broken symmetries from the 1/N expansion of the 2PI effective action -: art. no. 045008 [J].
Aarts, G ;
Ahrensmeier, D ;
Baier, R ;
Berges, J ;
Serreau, J .
PHYSICAL REVIEW D, 2002, 66 (04)
[2]   Adaptive time-dependent density-matrix renormalization-group technique for calculating the conductance of strongly correlated nanostructures [J].
Al-Hassanieh, K. A. ;
Feiguin, A. E. ;
Riera, J. A. ;
Busser, C. A. ;
Dagotto, E. .
PHYSICAL REVIEW B, 2006, 73 (19)
[3]   Beyond labels: A review of the application of quantum dots as integrated components of assays, bioprobes, and biosensors utilizing optical transduction [J].
Algar, W. Russ ;
Tavares, Anthony J. ;
Krull, Ulrich J. .
ANALYTICA CHIMICA ACTA, 2010, 673 (01) :1-25
[4]   Kondo physics in transport through a quantum dot with Luttinger-liquid leads [J].
Andergassen, S ;
Enss, T ;
Meden, V .
PHYSICAL REVIEW B, 2006, 73 (15)
[5]   Renormalization group analysis of the interacting resonant-level model at finite bias: Generic analytic study of static properties and quench dynamics [J].
Andergassen, S. ;
Pletyukhov, M. ;
Schuricht, D. ;
Schoeller, H. ;
Borda, L. .
PHYSICAL REVIEW B, 2011, 83 (20)
[6]   Real-time dynamics in quantum-impurity systems: A time-dependent numerical renormalization-group approach [J].
Anders, FB ;
Schiller, A .
PHYSICAL REVIEW LETTERS, 2005, 95 (19)
[7]   Spin precession and real-time dynamics in the Kondo model: Time-dependent numerical renormalization-group study [J].
Anders, Frithjof B. ;
Schiller, Avraham .
PHYSICAL REVIEW B, 2006, 74 (24)
[8]   SOLUTION OF THE KONDO PROBLEM [J].
ANDREI, N ;
FURUYA, K ;
LOWENSTEIN, JH .
REVIEWS OF MODERN PHYSICS, 1983, 55 (02) :331-402
[9]  
[Anonymous], 1993, TheKondo Problem to Heavy Fermions
[10]   Equilibration in φ4 theory in 3+1 dimensions -: art. no. 025014 [J].
Arrizabalaga, A ;
Smit, J ;
Tranberg, A .
PHYSICAL REVIEW D, 2005, 72 (02) :1-22
12345678910