Full-counting statistics for molecular junctions: Fluctuation theorem and singularities

Utsumi, Yasuhiro; Entin‐Wohlman, O.; Ueda, Akiko; Aharony, Amnon

doi:10.1103/physrevb.87.115407

Cited by 63 publications

(87 citation statements)

References 92 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is remarkable to note that this linear scaling, n c ∝ ∆µ, is universal to the Holstein-like class of models [50][51][52][53]. In the opposite limit…”

Section: Special Limits Scaling and Universalitymentioning

confidence: 85%

Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

et al. 2016

View full text Add to dashboard Cite

We investigate gain in microwave photonic cavities coupled to voltage-biased double quantum dot systems with an arbitrary strong dot-lead coupling and with a Holstein-like light-matter interaction, by adapting the diagrammatic Keldysh nonequilibrium Green's function approach. We compute out-of-equilibrium properties of the cavity: its transmission, phase response, mean photon number, power spectrum, and spectral function. We show that by the careful engineering of these hybrid light-matter systems, one can achieve a significant amplification of the optical signal with the voltage-biased electronic system serving as a gain medium. We also study the steady state current across the device, identifying elastic and inelastic tunnelling processes which involve the cavity mode. Our results show how recent advances in quantum electronics can be exploited to build hybrid light-matter systems that behave as microwave amplifiers and photon source devices. The diagrammatic Keldysh approach is primarily discussed for a cavity-coupled double quantum dot architecture, but it is generalizable to other hybrid light-matter systems.

show abstract

“…It is remarkable to note that this linear scaling, n c ∝ ∆µ, is universal to the Holstein-like class of models [50][51][52][53]. In the opposite limit…”

Section: Special Limits Scaling and Universalitymentioning

confidence: 85%

Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

et al. 2016

View full text Add to dashboard Cite

show abstract

“…(27). This limit will allow us to pinpoint on fundamental differences between the HO and the AH mode models.…”

Section: Applications a Charge Current And Fano Factor Far From mentioning

confidence: 99%

“…This summation can be achieved by exploiting the random-phase approximation (RPA) as done in Refs. 27,76,77 , also referred to as the self-consistent Born approximation 57 . Summing over a particular set of diagrams (ring type) in the perturbative series, see Fig.…”

Section: A Da-ah Model: Quantum Master Equation Approachmentioning

confidence: 99%

Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency

2015

View full text Add to dashboard Cite

We study the statistical properties of charge and energy transport in electron conducting junctions with electron-phonon interactions, specifically, the thermoelectric efficiency and its fluctuations. The system comprises donor and acceptor electronic states, representing a two-site molecule or a double quantum dot system. Electron transfer between metals through the two molecular sites is coupled to a particular vibrational mode which is taken to be either harmonic or anharmonic-a truncated (twostate) spectrum. Considering these models we derive the cumulant generating function in steady state for charge and energy transfer, correct to second-order in the electron-phonon interaction, but exact to all orders in the metal-molecule coupling strength. This is achieved by using the nonequilibrium Green's function approach (harmonic mode) and a kinetic quantum master equation method (anharmonic mode). From the cumulant generating function we calculate the charge current and its noise and the large deviation function for the thermoelectric efficiency. We demonstrate that at large bias the charge current, differential conductance, and the current noise can identify energetic and structural properties of the junction. We further examine the operation of the junction as a thermoelectric engine and show that while the macroscopic thermoelectric efficiency is indifferent to the nature of the mode (harmonic or anharmonic), efficiency fluctuations do reflect this property.

show abstract

“…While the quantum FCS of particle currents (e.g. electrons) in junctions is well developed [67][68][69][70][71][72][73][74][75][76][77][78] , that of energy was mostly limited to the quantum master equation (QME) approach 71,[79][80][81][82][83][84] with its known limitations 76,85,86 . By numerically calculating efficiency fluctuations for a set of simple models and comparing our NEGF results with those obtained using a QME approach, we identify the regimes where efficiency fluctuations display truly quantum features.…”

Section: Introductionmentioning

confidence: 99%

Efficiency fluctuations in quantum thermoelectric devices

2015

View full text Add to dashboard Cite

We present a method, based on charaterizing efficiency fluctuations, to asses the performance of nanoscale thermoelectric junctions. This method accounts for effects typically arising in small junctions, namely, stochasticity in the junction's performance, quantum effects, and nonequilibrium features preventing a linear response analysis. It is based on a nonequilibrium Green's function (NEGF) approach, which we use to derive the full counting statistics (FCS) for heat and work, and which in turn allows us to calculate the statistical properties of efficiency fluctuations. We simulate the latter for a variety of simple models where our method is exact. By analyzing the discrepancies with the semi-classical prediction of a quantum master equation (QME) approach, we emphasize the quantum nature of efficiency fluctuations for realistic junction parameters. We finally propose an approximate Gaussian method to express efficiency fluctuations in terms of nonequilibrium currents and noises which are experimentally measurable in molecular junctions.

show abstract

Full-counting statistics for molecular junctions: Fluctuation theorem and singularities

Cited by 63 publications

References 92 publications

Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency

Efficiency fluctuations in quantum thermoelectric devices

Contact Info

Product

Resources

About