Timescale separation solution of the Kadanoff-Baym equations for quantum transport in time-dependent fields

Honeychurch, Thomas D.; Kosov, Daniel S.

doi:10.1103/physrevb.100.245423

Cited by 20 publications

(13 citation statements)

References 58 publications

(89 reference statements)

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“…Focusing on weak molecule-lead coupling (where vibrational instability is acute , ), the theoretical treatment is based on time-averaged Born-Markov master equations (see SI). This enables one to take full account for the electron interaction with molecular vibrations and with the driving field, as long as the driving period is short on the time scale of the field-free junction dynamics (for a complementary discussion of the adiabatic regime, where the junction undergoes significant changes within a single driving period, see ref ).…”

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confidence: 99%

Mechanical Stabilization of Nanoscale Conductors by Plasmon Oscillations

2020

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External driving of the Fermion reservoirs interacting with a nanoscale charge-conductor is shown to enhance its mechanical stability during resonant tunneling. This counterintuitive cooling effect is predicted despite the net energy flow into the device. Field-induced plasmon oscillations stir the energy distribution of charge carriers near the reservoir’s chemical potentials into a nonequilibrium state with favored transport of low-energy electrons. Consequently, excess heating of mechanical degrees of freedom in the conductor is suppressed. We demonstrate and analyze this effect for a generic model of mechanical instability in nanoelectronic devices, covering a broad range of parameters. Plasmon-induced stabilization is suggested as a feasible strategy to confront a major problem of current-induced heating and breakdown of nanoscale systems operating far from equilibrium.

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confidence: 99%

Mechanical Stabilization of Nanoscale Conductors by Plasmon Oscillations

2020

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“…( 23) and ( 24)]. For transport in molecular junctions, this entails the development of many-body perturbation theories for the inclusion of phonon effects [61,[416][417][418][419][420]. In general, the phonon-induced renormalization of the density of states on the quantum dot and the phonon-induced renormalization of the dot-lead coupling are important.…”

Section: Electronic Transportmentioning

confidence: 99%

A many-body approach to transport in quantum systems: From the transient regime to the stationary state

Ridley,

Talarico,

Karlsson

et al. 2022

Preprint

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We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can treat, on the same footing, inter-particle interactions, external drives and/or perturbations, and coupling to baths with a (piece-wise) continuum set of degrees of freedom. After a historical overview on the theory of transport in quantum systems, we present a modern introduction of the NEGF approach to quantum transport. We discuss the inclusion of inter-particle interactions using diagrammatic techniques, and the use of the so-called embedding and inbedding techniques which take the bath couplings into account non-perturbatively. In various limits, such as the non-interacting limit and the steady-state limit, we then show how the NEGF formalism elegantly reduces to well-known formulae in quantum transport as special cases. We then discuss nonequilibrium transport in general, for both particle and energy currents. Under the presence of a time-dependent drive -encompassing pump-probe scenarios as well as driven quantum systems -we discuss the transient as well as asymptotic behavior, and also how to use NEGF to infer information on the out-of-equilibrium system.As illustrative examples, we consider model systems general enough to pave the way to realistic systems. These examples encompass one-and two-dimensional electronic systems, systems with electron-phonon couplings, topological superconductors, and optically responsive molecular junctions where electron-photon couplings are relevant.

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“…These derivations follow directly the derivations of the viscosity and diffusion for a system with time-dependent coupling to the leads as discussed in 17,26 , as long as the time-derivatives of the self-energies are not specified explicitly. Notice that in addition to the standard assumption that the dynamics of mechanical degrees of freedom are slow in comparison with the electron tunneling time, we have to assume that the rate of change of the leads' energies due to the external AC driving is also smaller than the electronic tunneling time across the junction 27 . This means that the validity of our approach requires that the characteristic frequency of the nuclear motion and the AC driving frequency should both be smaller than the molecular level broadening due to the coupling to the leads Γ.…”

Section: Nonequilibrium Viscosity Noise and Effective Temperature Pro...mentioning

confidence: 99%

Cooling molecular electronic junctions by AC current

Preston,

Honeychurch,

Kosov

2020

Preprint

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Electronic current flowing in a molecular electronic junction dissipates significant amounts of energy to vibrational degrees of freedom, straining and rupturing chemical bonds and often quickly destroying the integrity of the molecular device. The infamous mechanical instability of molecular electronic junctions critically limits performance, lifespan, and raises questions as to the technological viability of single-molecule electronics. Here we propose a practical scheme for cooling the molecular vibrational temperature via application of an AC voltage over a large, static operational DC voltage bias. Using nonequilibrium Green's functions, we computed the viscosity and diffusion coefficient experienced by nuclei surrounded by a nonequilibrium "sea" of periodically driven, current-carrying electrons. The effective molecular junction temperature is deduced by balancing the viscosity and diffusion coefficients. Our calculations show the opportunity of achieving in excess of 40% cooling of the molecular junction temperature while maintaining the same average current.

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Timescale separation solution of the Kadanoff-Baym equations for quantum transport in time-dependent fields

Cited by 20 publications

References 58 publications

Mechanical Stabilization of Nanoscale Conductors by Plasmon Oscillations

Mechanical Stabilization of Nanoscale Conductors by Plasmon Oscillations

A many-body approach to transport in quantum systems: From the transient regime to the stationary state

Cooling molecular electronic junctions by AC current

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