An Introduction to Real-Time Renormalization Group

Schoeller, Herbert

doi:10.1007/3-540-46438-7_7

Cited by 39 publications

(31 citation statements)

References 17 publications

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“…(20), (22), and the quantum approach, Eqs. (34)- (38). The following points should be noted: (a) Good agreement with the result of Ref.…”

Section: Resultssupporting

confidence: 76%

“…Figure 2 shows the Stokes scattering amplitude |A(ν i , ν f = ν i − ω v )| calculated from Eqs. (34)- (38) in the quantum case and (20), (22) in the quasiclassical approximation, for an equilibrium system, V sd = 0. The results can be compared to those presented in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…(14) This becomes an identity at T = 0 and equilibrium. Explicitly, this results in expressions (34)- (38) for the scattering flux. This approach allows to get Stokes signal at non-equilibrium with reasonable accuracy.…”

Section: Discussionmentioning

confidence: 99%

“…τ 1 and τ 2 as well as τ 3 and τ 4 have to be on opposite branches of the Keldysh contour. 38 These projections involve the projected Green functions G,D i and D v that enter Eq. (26) that take the following forms in the lowest order approximation employed here: (a) In the spirit of the perturbation expansion employed above, the Green functionD i for the pumping mode can be taken for a free incoming photon, namely…”

Section: Quantum Considerationmentioning

confidence: 99%

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Raman scattering from molecular conduction junctions: Charge transfer mechanism

2012

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We present a model for the charge transfer contribution to surface enhanced Raman spectroscopy (SERS) in a molecular junction. The model is a generalization of the equilibrium scheme for SERS of a molecule adsorbed on a metal surface [B.N.J.Persson. Chem. Phys. Lett. 82, 561 (1981)]. We extend the same physical consideration to non-equilibrium situation in a biased molecular junction and to non-zero temperatures. Two approaches are considered and compared: A semiclassical approach appropriate for non-resonance Raman scattering, and a quantum approach based on the non-equilibrium Green function method. Non equilibrium effects on this contribution to SERS are demonstrated with numerical examples. It is shown that the semiclassical approach provides an excellent approximation to the full quantum calculation as long as the molecular electronic state is outside the Fermi window, that is, as long as the field induced charge transfer is small.

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“…(20), (22), and the quantum approach, Eqs. (34)- (38). The following points should be noted: (a) Good agreement with the result of Ref.…”

Section: Resultssupporting

confidence: 76%

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Quantum Considerationmentioning

confidence: 99%

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Raman scattering from molecular conduction junctions: Charge transfer mechanism

2012

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“…However, it was argued that voltage-induced decay rates prevent the system from approaching the strong coupling regime [177,196,197]. The microscopic inclusion of decay rates as cutoff scales into nonequilibrium RG methods was achieved within RTRG [185][186][187], flow equation methods [180], and RTRG-FS [5].…”

Section: Real-time Rg In Frequency Space (Rtrg-fs)mentioning

confidence: 99%

Charge transport through single molecules, quantum dots and quantum wires

et al. 2010

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Abstract. We review recent progresses in the theoretical description of correlation and quantum fluctuation phenomena in charge transport through single molecules, quantum dots, and quantum wires. A variety of physical phenomena is addressed, relating to co-tunneling, pair-tunneling, adiabatic quantum pumping, charge and spin fluctuations, and inhomogeneous Luttinger liquids. We review theoretical many-body methods to treat correlation effects, quantum fluctuations, nonequilibrium physics, and the time evolution into the stationary state of complex nanoelectronic systems.Charge transport through single molecules, quantum dots, and quantum wires 2

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Functional Renormalization Group Approach To Non-Equilibrium Properties Of Mesoscopic Systems

Pruschke

Gezzi

Dirks

NATO Science for Peace and Security Series B: Physics and Biophysics

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An Introduction to Real-Time Renormalization Group

Cited by 39 publications

References 17 publications

Raman scattering from molecular conduction junctions: Charge transfer mechanism

Raman scattering from molecular conduction junctions: Charge transfer mechanism

Charge transport through single molecules, quantum dots and quantum wires

Functional Renormalization Group Approach To Non-Equilibrium Properties Of Mesoscopic Systems

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