Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport

Journal of Physics Condensed Matter

Volumn 24, Issue 22, 2012, Pages

  Dzhioev, Alan A ^a,b   Kosov, D S ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BUFFER ZONES; ELECTRON CURRENTS; ELECTRON TRANSPORT; FIELD THEORY; KINETIC EQUATIONS; LINDBLAD; MANY BODY PERTURBATION THEORY; NON EQUILIBRIUM; PERTURBATION THEORY; PERTURBATIVE TREATMENT; QUANTUM KINETIC EQUATIONS; SUPEROPERATORS;

ALGEBRA; INTEGRAL EQUATIONS; KINETIC ENERGY; KINETIC THEORY; QUANTUM OPTICS; SEMICONDUCTOR QUANTUM DOTS;

KINETICS;

EID: 84861122840     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/24/22/225304     Document Type: Article

References (30)

1. Keldysh L V 1965 Diagram technique for nonequilibrium processes Zh. Eksp. Teor. Fiz. 47 1515
2. Keldysh L V 1965 Sov. Phys. - JETP 20 1018 (Engl. transl.)
3. Imry Y and Landauer R 1999 Conductance viewed as transmission Rev. Mod. Phys. 71 S306
4. Caroli C, Combesco R, Nozieres P and Saintjam D 1971 Direct calculation of tunneling current J. Phys. C: Solid State Phys. 4 916
5. Galperin M, Nitzan A and Ratner M A 2007 Inelastic effects in molecular junctions in the Coulomb and Kondo regimes: nonequilibrium equation-of-motion approach Phys. Rev. B 76 035301
6. Härtle R and Thoss M 2011 Vibrational instabilities in resonant electron transport through single-molecule junctions Phys. Rev. B 83 125419
7. Mitra A, Aleiner I and Millis A J 2004 Phonon effects in molecular transistors: quantal and classical treatment Phys. Rev. B 69 245302
8. Dahnovsky Y 2007 Ab initio electron propagators in molecules with strong electronphonon interaction: II. Electron Greens function J. Chem. Phys. 127 014104 (Pubitemid 47245117)
9. Dash L K, Ness H and Godby R W 2010 Nonequilibrium electronic structure of interacting single-molecule nanojunctions: vertex corrections and polarization effects for the electronvibron coupling J. Chem. Phys. 132 104113
10. Dahnovsky Yu 2009 Electronelectron correlations in molecular tunnel junctions: a diagrammatic approach Phys. Rev. B 80 165305
11. Schmitt S and Anders F B 2010 Comparison between scattering-states numerical renormalization group and the KadanoffBaymKeldysh approach to quantum transport: crossover from weak to strong correlations Phys. Rev. B 81 165106
12. Darancet P, Ferretti A, Mayou D and Olevano V 2007 Ab initio GW electronelectron interaction effects in quantum transport Phys. Rev. B 75 075102
13. Thygesen K S and Rubio A 2008 Conserving GW scheme for nonequilibrium quantum transport in molecular contacts Phys. Rev. B 77 115333
14. Spataru C D, Hybertsen M S, Louie S G and Millis A J 2009 GW approach to Anderson model out of equilibrium: Coulomb blockade and false hysteresis in the IV characteristics Phys. Rev. B 79 155110
15. Thygesen K S and Rubio A 2007 Nonequilibrium GW approach to quantum transport in nano-scale contacts J. Chem. Phys. 126 091101 (Pubitemid 46385611)
16. Gurvitz S A and Prager Ya S 1996 Microscopic derivation of rate equations for quantum transport Phys. Rev. B 53 1593243
17. Leijnse M and Wegewijs M R 2008 Kinetic equations for transport through single-molecule transistors Phys. Rev. B 78 235424
18. Harbola U, Esposito M and Mukamel S 2006 Quantum master equation for electron transport through quantum dots and single molecules Phys. Rev. B 74 235309 (Pubitemid 44879193)
19. Zedler P, Schaller G, Kiesslich G, Emary C and Brandes T 2009 Weak-coupling approximations in non-Markovian transport Phys. Rev. B 80 045309
20. Li X-Q, Luo J Y, Yang Y-G, Cui P and Yan Y J 2005 Quantum master-equation approach to quantum transport through mesoscopic systems Phys. Rev. B 71 205304 (Pubitemid 41755446)
21. Pedersen J N and Wacker A 2005 Tunneling through nanosystems: combining broadening with many-particle states Phys. Rev. B 72 195330 (Pubitemid 43029576)
22. Ovchinnikov I V and Neuhauser D 2005 A Liouville equation for systems which exchange particles with reservoirs: transport through a nanodevice J. Chem. Phys. 122 024707 (Pubitemid 41047723)
23. Dzhioev A A and Kosov D S 2011 Super-fermion representation of quantum kinetic equations for the electron transport problem J. Chem. Phys. 134 044121
24. Dzhioev A A and Kosov D S 2011 Second-order post-HartreeFock perturbation theory for the electron current J. Chem. Phys. 134 154107
25. Dzhioev A A and Kosov D S 2011 Stability analysis of multiple nonequilibrium fixed points in self-consistent electron transport calculations J. Chem. Phys. 135 174111
26. Schmutz M 1978 Real-time Greens functions in many body problems Z. Phys. B 30 97106
27. Prosen T 2008 Third quantization: a general method to solve master equations for quadratic open Fermi systems New J. Phys. 10 043026
28. Harbola U and Mukamel S 2008 Superoperator nonequilibrium Greens function theory of many-body systems: applications to charge transfer and transport in open junctions Phys. Rep. 465 191222
29. Meir Y, Wingreen N S and Lee P A 1993 Low-temperature transport through a quantum dot: the Anderson model out of equilibrium Phys. Rev. Lett. 70 26014
30. Egger R and Gogolin A O 2008 Vibration-induced correction to the current through a single molecule Phys. Rev. B 77 113405