Quantum dissipative effects on non-equilibrium transport through a single-molecular transistor: The Anderson-Holstein-Caldeira-Leggett model

Raju, Ch. Narasimha; Chatterjee, Ashok

doi:10.1038/srep18511

Cited by 13 publications

(11 citation statements)

References 27 publications

(26 reference statements)

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“…Such local heating affects crucially the device properties [13][14][15][16], and have significant influence on some physical processes, such as thermoelectric conversion [17][18][19], heat dissipation [8,19], and electron-phonon interactions [20,21]. All these studies, however, leave open the question of what precisely is a "local temperature" in a nonequilibrium system, a concept that has a well-established meaning only in global equilibrium.…”

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confidence: 99%

Thermodynamic meaning of local temperature of nonequilibrium open quantum systems

Zheng

Yan

et al. 2016

Phys. Rev. B

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Measuring the local temperature of nanoscale systems out of equilibrium has emerged as a new tool to study local heating effects and other local thermal properties of systems driven by external fields. Although various experimental protocols and theoretical definitions have been proposed to determine the local temperature, the thermodynamic meaning of the measured or defined quantities remains unclear. By performing analytical and numerical analysis of bias-driven quantum dot systems both in the noninteracting and strongly-correlated regimes, we elucidate the underlying physical meaning of local temperature as determined by two definitions: the zero-current condition that is widely used but not measurable, and the minimal-perturbation condition that is experimentally realizable. We show that, unlike the zero-current one, the local temperature determined by the minimalperturbation protocol establishes a quantitative correspondence between the nonequilibrium system of interest and a reference equilibrium system, provided the probed system observable and the related electronic excitations are fully local. The quantitative correspondence thus allows the wellestablished thermodynamic concept to be extended to nonequilibrium situations.PACS numbers: 05.70. Ln, 71.27.+a, 73.23.Hk, 73.63.Kv Probing the variation of local temperatures in systems out of equilibrium has become a subject of intense experimental interest in physics [1][2][3][4][5], chemistry [6][7][8] and life sciences [9][10][11][12]. With the development of high-resolution thermometry techniques, measurement of some sort of temperature distributions of nonequilibrium systems has been realized, such as in graphene-metal contacts [4], gold interconnect structures [5], and living cells [12].Local electronic and phononic excitations occur in nanoelectronic devices subject to a bias voltage or thermal gradient, and hence the devices are supposedly at a local temperature somewhat higher than the background temperature. Such local heating affects crucially the device properties [13][14][15][16], and have significant influence on some physical processes, such as thermoelectric conversion [17][18][19], heat dissipation [8,19], and electron-phonon interactions [20,21]. All these studies, however, leave open the question of what precisely is a "local temperature" in a nonequilibrium system, a concept that has a well-established meaning only in global equilibrium.Over the past decade, numerous experimental [15,[22][23][24][25][26][27] and theoretical [28][29][30][31][32][33][34][35][36][37][38] efforts have been made to provide practical and meaningful definitions of local temperature for nonequilibrium systems that bear a close conceptual resemblance to the thermodynamic one. However, it has remained largely unclear how to physically interpret the defined local temperature, and how to associate the measured value with the magnitudes of local excitations and local heating at a quantitative level.This work aims at elucidating these fundamental issues through analyti...

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confidence: 99%

Thermodynamic meaning of local temperature of nonequilibrium open quantum systems

Zheng

Yan

et al. 2016

Phys. Rev. B

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“…Figure 2 displays behaviour of the spectral density A in the presence of e-e interaction, e-p interaction and dissipation for a few values of the magnetic field strength B . The inset shows the behavior of the same function A for λ = 0 = γ in the case of U = 0, and B = 0 41 . The behavior is Lorenzian with a single resonance peak at ε d = 0.…”

Section: Resultsmentioning

confidence: 99%

“…The behavior is Lorenzian with a single resonance peak at ε d = 0. Raju and Chatterjee 41 have studied the spectral function for non-zero values of λ and γ with B = 0. Their results are also plotted in Figure 2 which shows a central peak and a few side bands due to polaronic effects as expected.…”

Section: Resultsmentioning

confidence: 99%

“…The quantum transport properties of SMT have been studied by using different theoretical and numerical methods like kinetic equation method 26,27 , rate equation approach 28 , slave-boson mean-field method 29 , non-crossing approximation method 30 , numerical renormalization method 31–35 and non-equilibrium Green’s function approaches 36–40 . Raju and Chatterjee have investigated in a recent work 41 , the effect of dissipation on quantum transport in an SMT device employing the Keldysh non-equilibrium Green function formalism at zero temperature. To describe the SMT system mounted on a substrate they have considered the Anderson-Holstein (AH) Hamiltonian together with the Caldeira-Leggett (CL) term (hereafter referred to as AHCL model) which introduces a linear dissipative coupling between the phonons of the substrate and that of the QD.…”

Section: Introductionmentioning

confidence: 99%

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Magneto-transport properties of a single molecular transistor in the presence of electron-electron and electron-phonon interactions and quantum dissipation

Kalla

Chebrolu

Chatterjee

2019

Sci Rep

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A single molecular transistor is considered in the presence of electron-electron interaction, electron-phonon interaction, an external magnetic field and dissipation. The quantum transport properties of the system are investigated using the Anderson-Holstein Hamiltonian together with the Caldeira-Leggett model that takes care of the damping effect. The phonons are first removed from the theory by averaging the Hamiltonian with respect to a coherent phonon state and the resultant electronic Hamiltonian is finally solved with the help of the Green function technique due to Keldysh. The spectral function, spin-polarized current densities, differential conductance and spin polarization current are determined.

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“…When graphene oxide is prepared in the form of quantum dots (QDs), i.e., ultrathin (<1 nm) circular or elliptical sheets with diameters typically ranging between 2 and 20 nm, [ 18–21 ] additional attractive properties have been observed, including atomic‐scale size, [ 19,22 ] shape variation, [ 23,24 ] quantum size confinement, [ 25–27 ] quantum tunneling, and Coulomb blocking effects. [ 28–30 ] Moreover, graphene oxide quantum dots (GOQD) with direct bandgaps have longer fluorescence lifetime and lower toxicity than organic fluorescent dyes, providing a powerful tool for bioimaging and environmental detection. [ 19,31–33 ] In addition, it has been found that organic materials doped with GOQD show better resistive switching than GO, i.e., higher reliability and stability.…”

Section: Introductionmentioning

confidence: 99%

Transmission Electron Microscopy‐Based Statistical Analysis of Commercially Available Graphene Oxide Quantum Dots

Guo

Zuo

Shi

et al. 2020

Crystal Research and Technology

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Thanks to their excellent thermal and optical properties, graphene oxide quantum dots (GOQD) have been extensively explored for several applications, such as composite material, optoelectronic devices, solar cells, and fluorescence materials, among others. Consequently, GOQDs are commercially available suspended in a solution. However, the density, size, and crystallinity of commercially available GOQDs can differ a lot from one manufacturer to another, which rarely provide exhaustive information about them. Furthermore, a recent report has questioned the quality of graphene‐based materials produced by liquid phase exfoliation. Here a statistical analysis of the quality of commercially available GOQDs, using transmission electron microscope (TEM), is presented. This technique enables to observe the internal structure, thickness, lattice structure, orientation, and local defects of the samples at atomic scale. High resolution TEM images reveal that the thickness of the GOQDs is not homogenous from center to edges within one single domain. The edges show hexagonal lattice (monolayer) while the central location shows to be rhomboidal structure (multilayer). This work provides clear statistical information about the quality of the commercially available GOQDs.

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Quantum dissipative effects on non-equilibrium transport through a single-molecular transistor: The Anderson-Holstein-Caldeira-Leggett model

Cited by 13 publications

References 27 publications

Thermodynamic meaning of local temperature of nonequilibrium open quantum systems

Thermodynamic meaning of local temperature of nonequilibrium open quantum systems

Magneto-transport properties of a single molecular transistor in the presence of electron-electron and electron-phonon interactions and quantum dissipation

Transmission Electron Microscopy‐Based Statistical Analysis of Commercially Available Graphene Oxide Quantum Dots

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