Charge transport in a quantum electromechanical system

Utami, Dian Wahyu; Goan, Hsi‐Sheng; Milburn, G. J.

doi:10.1103/physrevb.70.075303

Cited by 22 publications

(42 citation statements)

References 19 publications

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“…We will show that the position dependence of the tunneling rates and all vibrational modes of the harmonic oscillator can be treated within the master equation approach. Furthermore, the master equation can equally consider the tunneling and dissipation terms, unlike early derivations, which required treating these terms separately [36,43,85]. In the low temperature and high bias voltage regime, the presented master equation should agree with those given previously [3,36].…”

Section: Introductionmentioning

confidence: 71%

“…Moreover, the position dependence of the tunneling rates and all vibrational modes of the harmonic oscillator are considered in the equation. This approach overcomes the shortcomings in a recent attempt to describe an electromechanical system where the position dependence is neglected and only two oscillator modes are considered [85]. Furthermore, the present master equation was obtained by treating the tunneling and the dissipation terms concurrently, unlike the separate prescription adopted in earlier derivations [36,43,85].…”

Section: Equation Of Motionmentioning

confidence: 98%

“…However, in Utami et al [3], the Fermi-Dirac distribution functions do not consider the energy levels of the oscillator. Strictly speaking, oscillator levels are important for electron occupation, especially in areas of low applied voltage [29,30,85].…”

Section: Equation Of Motionmentioning

confidence: 99%

“…Both the electron transfer and oscillator dynamics are shown to be very important for the device description. In a recent attempt of describing the electromechanical system, the position dependence is neglected, and only two oscillator modes are considered [85]. We will show that the position dependence of the tunneling rates and all vibrational modes of the harmonic oscillator can be treated within the master equation approach.…”

Section: Introductionmentioning

confidence: 97%

“…In the first model, the electron tunneling amplitudes are considered to be independent of the nano-particle displacement [25,31,[84][85][86]. In the second model, the tunneling amplitudes are modulated by the displacement x of the center of mass of the nano-particle island [1,34,35,41,87].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Single molecular shuttle-junction: Shot noise and decoherence

Lai

Zhang

2015

Front. Phys.

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Single molecular shuttle-junction is one kind of nanoscale electromechanical tunneling system. In this junction, a molecular island oscillates depending on its charge occupation, and this charge dependent oscillation leads to modulation of electron tunneling through the molecular island. This paper reviews recent development on the study of current, shot noise and decoherence of electrons in the single molecular shuttle-junction. We will give detailed discussion on this topic using the typical system model, the theory of fully quantum master equation and the Aharonov-Bohm interferometer.

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Section: Introductionmentioning

confidence: 71%

Section: Equation Of Motionmentioning

confidence: 98%

Section: Equation Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

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Single molecular shuttle-junction: Shot noise and decoherence

Lai

Zhang

2015

Front. Phys.

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Interaction and Size Effects in Open Nano‐Electromechanical Systems

Tanatar

Moldoveanu

Dragomir

et al. 2019

Physica Status Solidi (b)

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The time-dependent transport of a 2D quantum wire (QW) connected to source/drain leads and electrostatically coupled to a singly-clamped InAs cantilever is investigated. The latter is placed above the nanowire and acts as a nanoresonator (NR) in the quantum regime. The vibron dynamics and the transport properties of this nano-electromechanical system (NEMS) are described within a generalized master equation approach which is exact with respect to the electron-vibron coupling. A detailed description of the electron-vibron coupling by taking into account its dependence on the wavefunctions of the quantum nanowire is introduced. It is shown that the tunneling processes in the QW trigger periodic oscillations of the average vibron number even in the absence of a bias. The time-dependent filling of the vibronic states changes as the nanoresonator is swept along the quantum wire.

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Non-Markovian finite-temperature two-time correlation functions of system operators: Beyond the quantum regression theorem

Goan

Chen

Jian

2011

The Journal of Chemical Physics

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An extremely useful evolution equation that allows systematically calculating the two-time correlation functions (CF's) of system operators for non-Markovian open (dissipative) quantum systems is derived. The derivation is based on perturbative quantum master equation approach, so nonMarkovian open quantum system models that are not exactly solvable can use our derived evolution equation to easily obtain their two-time CF's of system operators, valid to second order in the system-environment interaction. Since the form and nature of the Hamiltonian are not specified in our derived evolution equation, our evolution equation is applicable for bosonic and/or fermionic environments and can be applied to a wide range of system-environment models with any factorized (separable) system-environment initial states (pure or mixed). When applied to a general model of a system coupled to a finite-temperature bosonic environment with a system coupling operator L in the system-environment interaction Hamiltonian, the resultant evolution equation is valid for both L = L † and L = L † cases, in contrast to those evolution equations valid only for L = L † case in the literature. The derived equation that generalizes the quantum regression theorem (QRT) to the non-Markovian case will have broad applications in many different branches of physics. We then give conditions on which the QRT holds in the weak system-environment coupling case, and apply the derived evolution equation to a problem of a two-level system (atom) coupled to a finite-temperature bosonic environment (electromagnetic fields) with L = L † .

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Charge transport in a quantum electromechanical system

Cited by 22 publications

References 19 publications

Single molecular shuttle-junction: Shot noise and decoherence

Single molecular shuttle-junction: Shot noise and decoherence

Interaction and Size Effects in Open Nano‐Electromechanical Systems

Non-Markovian finite-temperature two-time correlation functions of system operators: Beyond the quantum regression theorem

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