Interacting resonant-level model with long-range interactions: Fast screening and suppression of the zero-bias conductance

Perfetto, Enrico; Stefanucci, Gianluca; Cini, Michele

doi:10.1103/physrevb.85.165437

Cited by 11 publications

(22 citation statements)

References 35 publications

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“…The system is driven out of equilibrium by the sudden switch-on of an external biasĤ V = α V αNα , witĥ N α = jn αj the total number of electrons in lead α and V = V L − V R the voltage drop. We observe that the Hamiltonian H reduces to the interacting resonant level model [12][13][14]24 for λ = 0 and to the Anderson-Holstein model [15][16][17][25][26][27] for U = 0. In a recent work Maier and Komnik studied the nonequilibrium steady-state properties ofĤ at the Toulouse point.…”

Section: Low-energy Hamiltonianmentioning

confidence: 91%

“…The central approximation of our truncation scheme consists in replacing the average on the right-hand side of Eq. (14) with…”

Section: B Equations Of Motionmentioning

confidence: 99%

“…Nevertheless, low-dimensional leads screen a charged QD by accumulating holes (image charges [5][6][7][8][9][10] ) in a considerably extended portion nearby the contacts, thus enhancing the electrical current to a large extent (Coulomb deblocking). [11][12][13][14] A quantitative assessment of screening effects in polaronic transport is therefore necessary before an exhaustive interpretation of the experimental outcomes can be given.…”

Section: Introductionmentioning

confidence: 99%

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Image charge effects in the nonequilibrium Anderson-Holstein model

Perfetto

Stefanucci

2013

Phys. Rev. B

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Image charge effects in nanoscale junctions with strong electron-phonon coupling open the way to unexplored physical scenarios. We propose a simple and still accurate many-body approach to deal with the simultaneous occurrence of the Franck-Condon blockade and the screening-induced enhancement of the polaron mobility. A transparent analytic expression for the polaron decay rate is derived and the dependence on the strength and range of the screening is highlighted. This allows us to interpret and explain several transient and steady-state features of the electrical current. Remarkably, we find that the competition between the charge blocking due to the electron-phonon interaction and the charge deblocking due to the image charges gives rise to a novel mechanism of negative differential conductance. An experimental setup to observe this phenomenon is discussed.

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Section: Low-energy Hamiltonianmentioning

confidence: 91%

“…The central approximation of our truncation scheme consists in replacing the average on the right-hand side of Eq. (14) with…”

Section: B Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Image charge effects in the nonequilibrium Anderson-Holstein model

Perfetto

Stefanucci

2013

Phys. Rev. B

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“…The importance of extended interaction in nano-scale devices has also been addressed, for electron-electron interaction, in recently developed approaches such as Refs. [13,76].…”

Section: Introductionmentioning

confidence: 99%

“…The importance of extended interaction in nano-scale devices has also been addressed, for electron-electron interaction, in recently developed approaches such as Refs. [13,76].In the present paper, we also consider interactions existing beyond the central region. We apply our recently developed formalism 73 for fully interacting systems to a specific model of a single-molecule nanojunction.…”

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confidence: 99%

Nonequilibrium transport with self-consistent renormalized contacts for a single-molecule nanodevice with electron-vibron interaction

Ness

Dash

2012

Phys. Rev. B

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We present an application of a new formalism to treat the quantum transport properties of fully interacting nanoscale junctions [Phys. Rev. B 84, 235428 (2011)]. We consider a model singlemolecule nanojunction in the presence of two kinds of electron-vibron interactions. In terms of electron density matrix, one interaction is diagonal in the central region and the second is offdiagonal in between the central region and the left electrode. We use a non-equilibrium Green's function technique to calculate the system's properties in a self-consistent manner. The interaction self-energies are calculated at the Hartree-Fock level in the central region and at the Hartree level for the crossing interaction. Our calculations are performed for different transport regimes ranging from the far off-resonance to the quasi-resonant regime, and for a wide range of parameters. They show that a non-equilibrium (i.e. bias dependent) static (i.e. energy independent) renormalisation is obtained for the nominal hopping matrix element between the left electrode and the central region. Such a renormalisation is highly non-linear and non-monotonic with the applied bias, however it always lead to a reduction of the current, and also affects the resonances in the conductance. Furthermore, we show that the relationship between the non-equilibrium charge susceptibility and dynamical conductance still holds even in the presence of crossing interaction. I. INTROThe theory of quantum transport in nano-scale devices has evolved rapidly over the past decade, as advances in experimental techniques have made it possible to probe transport properties (at different temperatures) down to the single-molecule scale. Furthermore simultaneous measurement of charge and heat transport through single molecules is now also possible 1 . The development of accurate theoretical methods for the description of quantum transport at the single-molecule level is essential for continued progress in a number of areas including molecular electronics, spintronics, and thermoelectrics.One of the longstanding problems of quantum charge transport is the establishment of a theoretical framework which allows for quantitatively accurate predictions of conductance from first principles. The need for methods going beyond the standard approach based on density functional theory combined with Landauer-like elastic scattering 2-12 has been clear for a number of years. It is only recently that more advanced methods to treat electronic interaction have appeared, for example those based on the many-body GW approximation 13-15 . Alternative frameworks to deal with the steady-state or timedependent transport are given by many-body perturbation theory based on the non-equilibrium (NE) Green's function (GF) formalism: in these approaches, the interactions and (initial) correlations are taken into account by using conserving approximations for the many-body self-energy [16][17][18][19][20][21][22][23][24][25] . Other kinds of interactions, e.g. electron-vibron coupling, also play an impo...

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Transient dynamics in the Anderson–Holstein model with interfacial screening

Perfetto

Stefanucci

2015

J Comput Electron

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We study the combined effects of electron-phonon coupling and dot-lead repulsion in the transport properties of the Anderson-Holstein model. We employ a recently proposed nonperturbative method to calculate the transient response of the system. By varying the initial conditions for the time propagation, we are able to disentangle two different dynamical processes, namely the local charge rearrangement due to the dot-lead contacting and the establishment of the nonequilbrium manybody state due to the application of the external bias. According to the distinct initial contacting, the current can exhibit transient oscillations of different nature. These origin from tunneling events that involve virtual Franck-Condon excitations, or virtual transitions between the resonant level and the Fermi energy of the leads.

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Interacting resonant-level model with long-range interactions: Fast screening and suppression of the zero-bias conductance

Cited by 11 publications

References 35 publications

Image charge effects in the nonequilibrium Anderson-Holstein model

Image charge effects in the nonequilibrium Anderson-Holstein model

Nonequilibrium transport with self-consistent renormalized contacts for a single-molecule nanodevice with electron-vibron interaction

Transient dynamics in the Anderson–Holstein model with interfacial screening

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