Cooling a Vibrational Mode Coupled to a Molecular Single-Electron Transistor

Pistolesi, F.

doi:10.1007/s10909-009-9867-1

Cited by 30 publications

(34 citation statements)

References 51 publications

(102 reference statements)

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“…We consider a high temperature regime when electron tunneling events between the leads can be described in terms of rate equations. 27,28 On the other hand, the mechanical mode is in the low-temperature limit and, for simplicity, we will further assume that its coupling to the environment is sufficiently strong to keep the oscillator in equilibrium.…”

Section: -22mentioning

confidence: 99%

Interplay of magneto-elastic and polaronic effects in electronic transport through suspended carbon-nanotube quantum dots

Rastelli¹,

Houzet²,

Glazman³

et al. 2012

Comptes Rendus. Physique

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We investigate the electronic transport through a suspended carbon-nanotube quantum dot. In the presence of a magnetic field perpendicular to the nanotube and a nearby metallic gate, two forces act on the electrons: the Laplace and the electrostatic force. They both induce coupling between the electrons and the mechanical transverse oscillation modes. We find that the difference between the two mechanisms appears in the cotunneling current.

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Section: -22mentioning

confidence: 99%

Interplay of magneto-elastic and polaronic effects in electronic transport through suspended carbon-nanotube quantum dots

Rastelli¹,

Houzet²,

Glazman³

et al. 2012

Comptes Rendus. Physique

Self Cite

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“…Ground-state cooling by electron transport in suspended CNT-QDs appears as a promising strategy to achieve the quantum regime of low-frequency flexural modes ω T . It has been the subject of a notable research activity during the past years [148][149][150][151][152][153][154][155][156][157]. We recall that cooling by electron transport has been experimentally demonstrated in nanomechanical beams integrating normal metal-insulatorsuperconductor tunnel junctions [158,159].…”

Section: Introductionmentioning

confidence: 99%

Charge-vibration interaction effects in normal-superconductor quantum dots

2017

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We study the quantum transport and the nonequilibrium vibrational states of a quantum dot embedded between a normal-conducting and a superconducting lead with the charge on the quantum dot linearly coupled to a harmonic oscillator of frequency ω. To the leading order in the charge-vibration interaction, we calculate the current and the nonequilibrium phonon occupation by the Keldsyh Green's function technique. We analyze the inelastic, vibration-assisted tunneling processes in the regime ω < , with the superconducting energy gap , and for sharp resonant transmission through the dot. When the energy ε 0 of the dot's level is close to the Fermi energy μ, i.e., |ε 0 − μ| , inelastic vibration-assisted Andreev reflections dominate up to voltage eV . The inelastic quasiparticle tunneling becomes the leading process when the dot's level is close to the superconducting gap |ε 0 − μ| ∼ ± ω. In both cases, the inelastic tunneling processes appear as sharp and prominent peaks-not broadened by temperature-in the current-voltage characteristic and pave the way for inelastic spectroscopy of vibrational modes even at temperatures T ω. We also found that inelastic vibration-assisted Andreev reflections as well as quasiparticle tunneling induce a strong nonequilibrium state of the oscillator. In different ranges on the dot's level, we found that the current produces: (i) ground-state cooling of the oscillator with phonon occupation n 1, (ii) accumulation of energy in the oscillator with n 1, and (iii) a mechanical instability characterized by a negative damping coefficient. We show that ground-state cooling is achieved simultaneously for several modes of different frequencies. Finally, we discuss how the nonequilibrium vibrational state can be readily detected by the asymmetric behavior of the inelastic current peaks with respect to the gate voltage.

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“…37 Double-dot setups have been studied as well. 27,38 Different models for the coupling between electrons and vibrons have been considered, ranging from the simple Anderson-Holstein (AH) model 9,24,[26][27][28][29][39][40][41][42] to microscopic models tailored for specific systems, such as suspended carbon nanotubes. [43][44][45] Also, the influence of external dissipative baths 29,46,47 or radiation fields 38,48,49 has been analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…It is not "induced" by any external drive or dynamics, such as connecting the system to several reservoirs at different temperatures. 40 All the above effects are more pronounced when the electron-vibron coupling strength is increased, and none of them come out treating the system with a simple rate equation involving the diagonal matrix elements only.…”

Section: Introductionmentioning

confidence: 99%

Coherent properties of nanoelectromechanical systems

et al. 2011

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We study the properties of a nanoelectromechanical system in the coherent regime, where the electronic and vibrational time scales are of the same order. By employing a master-equation approach, we obtain the stationary reduced density matrix retaining the coherences between vibrational states. Depending on the system parameters, two regimes are identified, characterized by either (i) an effective thermal state with a temperature lower than that of the environment or (ii) strong coherent effects. A marked cooling of the vibrational degree of freedom is observed with a suppression of the vibron Fano factor down to sub-Poissonian values and a reduction of the position and momentum quadratures.

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Cooling a Vibrational Mode Coupled to a Molecular Single-Electron Transistor

Cited by 30 publications

References 51 publications

Interplay of magneto-elastic and polaronic effects in electronic transport through suspended carbon-nanotube quantum dots

Interplay of magneto-elastic and polaronic effects in electronic transport through suspended carbon-nanotube quantum dots

Charge-vibration interaction effects in normal-superconductor quantum dots

Coherent properties of nanoelectromechanical systems

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